diff --git a/src/Magnum/Math/Angle.h b/src/Magnum/Math/Angle.h
index 91ca09b73..2f8447234 100644
--- a/src/Magnum/Math/Angle.h
+++ b/src/Magnum/Math/Angle.h
@@ -127,20 +127,20 @@ template<class T> class Deg: public Unit<Deg, T> {
     public:
         /** @brief Construct zero angle */
         /* MSVC 2015 can't handle {} here */
-        constexpr /*implicit*/ Deg(ZeroInitT = ZeroInit): Unit<Math::Deg, T>(ZeroInit) {}
+        constexpr /*implicit*/ Deg(ZeroInitT = ZeroInit) noexcept: Unit<Math::Deg, T>(ZeroInit) {}
 
         /** @brief Construct without initializing the contents */
         /* MSVC 2015 can't handle {} here */
-        explicit Deg(NoInitT): Unit<Math::Deg, T>(NoInit) {}
+        explicit Deg(NoInitT) noexcept: Unit<Math::Deg, T>(NoInit) {}
 
         /** @brief Explicit constructor from unitless type */
-        constexpr explicit Deg(T value): Unit<Math::Deg, T>(value) {}
-
-        /** @brief Copy constructor */
-        constexpr /*implicit*/ Deg(Unit<Math::Deg, T> value): Unit<Math::Deg, T>(value) {}
+        constexpr explicit Deg(T value) noexcept: Unit<Math::Deg, T>(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> constexpr explicit Deg(Unit<Math::Deg, U> value): Unit<Math::Deg, T>(value) {}
+        template<class U> constexpr explicit Deg(Unit<Math::Deg, U> value) noexcept: Unit<Math::Deg, T>(value) {}
+
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Deg(Unit<Math::Deg, T> other) noexcept: Unit<Math::Deg, T>(other) {}
 
         /**
          * @brief Construct degrees from radians
@@ -191,20 +191,20 @@ template<class T> class Rad: public Unit<Rad, T> {
     public:
         /** @brief Default constructor */
         /* MSVC 2015 can't handle {} here */
-        constexpr /*implicit*/ Rad(ZeroInitT = ZeroInit): Unit<Math::Rad, T>(ZeroInit) {}
+        constexpr /*implicit*/ Rad(ZeroInitT = ZeroInit) noexcept: Unit<Math::Rad, T>(ZeroInit) {}
 
         /** @brief Construct without initializing the contents */
         /* MSVC 2015 can't handle {} here */
-        explicit Rad(NoInitT): Unit<Math::Rad, T>(NoInit) {}
+        explicit Rad(NoInitT) noexcept: Unit<Math::Rad, T>(NoInit) {}
 
         /** @brief Construct from unitless type */
-        constexpr explicit Rad(T value): Unit<Math::Rad, T>(value) {}
-
-        /** @brief Copy constructor */
-        constexpr /*implicit*/ Rad(Unit<Math::Rad, T> value): Unit<Math::Rad, T>(value) {}
+        constexpr explicit Rad(T value) noexcept: Unit<Math::Rad, T>(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> constexpr explicit Rad(Unit<Math::Rad, U> value): Unit<Math::Rad, T>(value) {}
+        template<class U> constexpr explicit Rad(Unit<Math::Rad, U> value) noexcept: Unit<Math::Rad, T>(value) {}
+
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Rad(Unit<Math::Rad, T> value) noexcept: Unit<Math::Rad, T>(value) {}
 
         /**
          * @brief Construct radians from degrees
diff --git a/src/Magnum/Math/BoolVector.h b/src/Magnum/Math/BoolVector.h
index 46cbf6ccc..c2dab37a6 100644
--- a/src/Magnum/Math/BoolVector.h
+++ b/src/Magnum/Math/BoolVector.h
@@ -80,10 +80,10 @@ template<std::size_t size> class BoolVector {
         };
 
         /** @brief Construct zero-filled boolean vector */
-        constexpr /*implicit*/ BoolVector(ZeroInitT = ZeroInit): _data{} {}
+        constexpr /*implicit*/ BoolVector(ZeroInitT = ZeroInit) noexcept: _data{} {}
 
         /** @brief Construct without initializing the contents */
-        explicit BoolVector(NoInitT) {}
+        explicit BoolVector(NoInitT) noexcept {}
 
         /**
          * @brief Construct boolean vector from segment values
@@ -91,20 +91,20 @@ template<std::size_t size> class BoolVector {
          * @param next  Values for next Bbit segments
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class ...T> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next);
+        template<class ...T> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next) noexcept;
         #else
-        template<class ...T, class U = typename std::enable_if<sizeof...(T)+1 == DataSize, bool>::type> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next): _data{first, UnsignedByte(next)...} {}
+        template<class ...T, class U = typename std::enable_if<sizeof...(T)+1 == DataSize, bool>::type> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next) noexcept: _data{first, UnsignedByte(next)...} {}
         #endif
 
         /** @brief Construct boolean vector with one value for all fields */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline explicit BoolVector(T value);
+        explicit BoolVector(T value) noexcept;
         #else
-        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> constexpr explicit BoolVector(T value): BoolVector(typename Implementation::GenerateSequence<DataSize>::Type(), value ? FullSegmentMask : 0) {}
+        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> constexpr explicit BoolVector(T value) noexcept: BoolVector(typename Implementation::GenerateSequence<DataSize>::Type(), value ? FullSegmentMask : 0) {}
         #endif
 
         /** @brief Copy constructor */
-        constexpr BoolVector(const BoolVector<size>&) = default;
+        constexpr /*implicit*/ BoolVector(const BoolVector<size>&) noexcept = default;
 
         /**
          * @brief Raw data
diff --git a/src/Magnum/Math/Color.h b/src/Magnum/Math/Color.h
index 5edc72d3b..2d7094cec 100644
--- a/src/Magnum/Math/Color.h
+++ b/src/Magnum/Math/Color.h
@@ -254,7 +254,7 @@ template<class T> class Color3: public Vector3<T> {
          *
          * All components are set to zero.
          */
-        constexpr /*implicit*/ Color3(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Color3(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -263,7 +263,7 @@ template<class T> class Color3: public Vector3<T> {
             {}
 
         /** @copydoc Vector::Vector(NoInitT) */
-        explicit Color3(NoInitT)
+        explicit Color3(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -275,7 +275,7 @@ template<class T> class Color3: public Vector3<T> {
          * @brief Gray constructor
          * @param rgb   RGB value
          */
-        constexpr explicit Color3(T rgb): Vector3<T>(rgb) {}
+        constexpr explicit Color3(T rgb) noexcept: Vector3<T>(rgb) {}
 
         /**
          * @brief Constructor
@@ -283,7 +283,7 @@ template<class T> class Color3: public Vector3<T> {
          * @param g     G value
          * @param b     B value
          */
-        constexpr /*implicit*/ Color3(T r, T g, T b): Vector3<T>(r, g, b) {}
+        constexpr /*implicit*/ Color3(T r, T g, T b) noexcept: Vector3<T>(r, g, b) {}
 
         /**
          * @copydoc Vector::Vector(const Vector<size, U>&)
@@ -292,10 +292,10 @@ template<class T> class Color3: public Vector3<T> {
          *      @ref normalize() and @ref denormalize() instead.
          *      See class documentation for more information.
          */
-        template<class U> constexpr explicit Color3(const Vector<3, U>& other): Vector3<T>(other) {}
+        template<class U> constexpr explicit Color3(const Vector<3, U>& other) noexcept: Vector3<T>(other) {}
 
         /** @brief Copy constructor */
-        constexpr Color3(const Vector<3, T>& other): Vector3<T>(other) {}
+        constexpr /*implicit*/ Color3(const Vector<3, T>& other) noexcept: Vector3<T>(other) {}
 
         /**
          * @brief Convert to HSV
@@ -449,10 +449,10 @@ class Color4: public Vector4<T> {
          *
          * All components are set to zero.
          */
-        constexpr /*implicit*/ Color4(): Vector4<T>(T(0), T(0), T(0), T(0)) {}
+        constexpr /*implicit*/ Color4() noexcept: Vector4<T>(T(0), T(0), T(0), T(0)) {}
 
         /** @copydoc Vector::Vector(ZeroInitT) */
-        constexpr explicit Color4(ZeroInitT)
+        constexpr explicit Color4(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -461,7 +461,7 @@ class Color4: public Vector4<T> {
             {}
 
         /** @copydoc Vector::Vector(NoInitT) */
-        explicit Color4(NoInitT)
+        explicit Color4(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -474,7 +474,7 @@ class Color4: public Vector4<T> {
          * @param alpha Alpha value, defaults to `1.0` for floating-point types
          *      and maximum positive value for integral types.
          */
-        constexpr explicit Color4(T rgb, T alpha = Implementation::fullChannel<T>()): Vector4<T>(rgb, rgb, rgb, alpha) {}
+        constexpr explicit Color4(T rgb, T alpha = Implementation::fullChannel<T>()) noexcept: Vector4<T>(rgb, rgb, rgb, alpha) {}
 
         /**
          * @brief Constructor
@@ -484,7 +484,7 @@ class Color4: public Vector4<T> {
          * @param a     A value, defaults to `1.0` for floating-point types and
          *      maximum positive value for integral types.
          */
-        constexpr /*implicit*/ Color4(T r, T g, T b, T a = Implementation::fullChannel<T>()): Vector4<T>(r, g, b, a) {}
+        constexpr /*implicit*/ Color4(T r, T g, T b, T a = Implementation::fullChannel<T>()) noexcept: Vector4<T>(r, g, b, a) {}
 
         /**
          * @brief Constructor
@@ -493,7 +493,7 @@ class Color4: public Vector4<T> {
          */
         /* Not marked as explicit, because conversion from Color3 to Color4
            is fairly common, nearly always with A set to 1 */
-        constexpr /*implicit*/ Color4(const Vector3<T>& rgb, T a = Implementation::fullChannel<T>()): Vector4<T>(rgb[0], rgb[1], rgb[2], a) {}
+        constexpr /*implicit*/ Color4(const Vector3<T>& rgb, T a = Implementation::fullChannel<T>()) noexcept: Vector4<T>(rgb[0], rgb[1], rgb[2], a) {}
 
         /**
          * @copydoc Vector::Vector(const Vector<size, U>&)
@@ -502,10 +502,10 @@ class Color4: public Vector4<T> {
          *      @ref normalize() and @ref denormalize() instead.
          *      See @ref Color3 class documentation for more information.
          */
-        template<class U> constexpr explicit Color4(const Vector<4, U>& other): Vector4<T>(other) {}
+        template<class U> constexpr explicit Color4(const Vector<4, U>& other) noexcept: Vector4<T>(other) {}
 
         /** @brief Copy constructor */
-        constexpr Color4(const Vector<4, T>& other): Vector4<T>(other) {}
+        constexpr /*implicit*/ Color4(const Vector<4, T>& other) noexcept: Vector4<T>(other) {}
 
         /** @copydoc Color3::toHSV() */
         constexpr HSV toHSV() const {
diff --git a/src/Magnum/Math/Complex.h b/src/Magnum/Math/Complex.h
index 880241970..4c6a89c42 100644
--- a/src/Magnum/Math/Complex.h
+++ b/src/Magnum/Math/Complex.h
@@ -142,13 +142,13 @@ template<class T> class Complex {
          *      c = 1 + i0
          * @f]
          */
-        constexpr /*implicit*/ Complex(IdentityInitT = IdentityInit): _real(T(1)), _imaginary(T(0)) {}
+        constexpr /*implicit*/ Complex(IdentityInitT = IdentityInit) noexcept: _real(T(1)), _imaginary(T(0)) {}
 
         /** @brief Construct zero-initialized complex number */
-        constexpr explicit Complex(ZeroInitT): _real{}, _imaginary{} {}
+        constexpr explicit Complex(ZeroInitT) noexcept: _real{}, _imaginary{} {}
 
         /** @brief Construct without initializing the contents */
-        explicit Complex(NoInitT) {}
+        explicit Complex(NoInitT) noexcept {}
 
         /**
          * @brief Construct complex number from real and imaginary part
@@ -157,7 +157,7 @@ template<class T> class Complex {
          *      c = a + ib
          * @f]
          */
-        constexpr /*implicit*/ Complex(T real, T imaginary): _real(real), _imaginary(imaginary) {}
+        constexpr /*implicit*/ Complex(T real, T imaginary) noexcept: _real(real), _imaginary(imaginary) {}
 
         /**
          * @brief Construct complex number from vector
@@ -167,7 +167,7 @@ template<class T> class Complex {
          * @f]
          * @see @ref operator Vector2<T>(), @ref transformVector()
          */
-        constexpr explicit Complex(const Vector2<T>& vector): _real(vector.x()), _imaginary(vector.y()) {}
+        constexpr explicit Complex(const Vector2<T>& vector) noexcept: _real(vector.x()), _imaginary(vector.y()) {}
 
         /**
          * @brief Construct complex number from another of different type
@@ -175,11 +175,14 @@ template<class T> class Complex {
          * Performs only default casting on the values, no rounding or anything
          * else.
          */
-        template<class U> constexpr explicit Complex(const Complex<U>& other): _real{T(other._real)}, _imaginary{T(other._imaginary)} {}
+        template<class U> constexpr explicit Complex(const Complex<U>& other) noexcept: _real{T(other._real)}, _imaginary{T(other._imaginary)} {}
 
         /** @brief Construct complex number from external representation */
         template<class U, class V = decltype(Implementation::ComplexConverter<T, U>::from(std::declval<U>()))> constexpr explicit Complex(const U& other): Complex{Implementation::ComplexConverter<T, U>::from(other)} {}
 
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Complex(const Complex<T>&) noexcept = default;
+
         /** @brief Convert complex number to external representation */
         template<class U, class V = decltype(Implementation::ComplexConverter<T, U>::to(std::declval<Complex<T>>()))> constexpr explicit operator U() const {
             return Implementation::ComplexConverter<T, U>::to(*this);
diff --git a/src/Magnum/Math/Dual.h b/src/Magnum/Math/Dual.h
index 5080c9b2d..da09c5757 100644
--- a/src/Magnum/Math/Dual.h
+++ b/src/Magnum/Math/Dual.h
@@ -57,15 +57,15 @@ template<class T> class Dual {
          *
          * Both parts are default-constructed.
          */
-        constexpr /*implicit*/ Dual(): _real(), _dual() {}
+        constexpr /*implicit*/ Dual() noexcept: _real{}, _dual{} {}
 
         /** @brief Construct without initializing the contents */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        explicit Dual(NoInitT);
+        explicit Dual(NoInitT) noexcept;
         #else
         /* MSVC 2015 can't handle {} instead of ::value */
-        template<class U = T, class = typename std::enable_if<std::is_pod<U>::value>::type> Dual(NoInitT) {}
-        template<class U = T, class V = T, class = typename std::enable_if<std::is_constructible<U, NoInitT>::value>::type> Dual(NoInitT): _real{NoInit}, _dual{NoInit} {}
+        template<class U = T, class = typename std::enable_if<std::is_pod<U>::value>::type> explicit Dual(NoInitT) noexcept {}
+        template<class U = T, class V = T, class = typename std::enable_if<std::is_constructible<U, NoInitT>::value>::type> explicit Dual(NoInitT) noexcept: _real{NoInit}, _dual{NoInit} {}
         #endif
 
         /**
@@ -75,7 +75,7 @@ template<class T> class Dual {
          *      \hat a = a_0 + \epsilon a_\epsilon
          * @f]
          */
-        constexpr /*implicit*/ Dual(const T& real, const T& dual = T()): _real(real), _dual(dual) {}
+        constexpr /*implicit*/ Dual(const T& real, const T& dual = T()) noexcept: _real(real), _dual(dual) {}
 
         /**
          * @brief Construct dual number from another of different type
@@ -88,7 +88,10 @@ template<class T> class Dual {
          * // integral == {1, 2}
          * @endcode
          */
-        template<class U> constexpr explicit Dual(const Dual<U>& other): _real{T(other._real)}, _dual{T(other._dual)} {}
+        template<class U> constexpr explicit Dual(const Dual<U>& other) noexcept: _real{T(other._real)}, _dual{T(other._dual)} {}
+
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Dual(const Dual<T>&) noexcept = default;
 
         /** @brief Equality comparison */
         bool operator==(const Dual<T>& other) const {
diff --git a/src/Magnum/Math/DualComplex.h b/src/Magnum/Math/DualComplex.h
index f32876935..f1a5df321 100644
--- a/src/Magnum/Math/DualComplex.h
+++ b/src/Magnum/Math/DualComplex.h
@@ -104,13 +104,13 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        constexpr /*implicit*/ DualComplex(IdentityInitT = IdentityInit);
+        constexpr /*implicit*/ DualComplex(IdentityInitT = IdentityInit) noexcept;
         #else
-        constexpr /*implicit*/ DualComplex(IdentityInitT = IdentityInit): Dual<Complex<T>>({}, {T(0), T(0)}) {}
+        constexpr /*implicit*/ DualComplex(IdentityInitT = IdentityInit) noexcept: Dual<Complex<T>>({}, {T(0), T(0)}) {}
         #endif
 
         /** @brief Construct zero-initialized dual complex number */
-        constexpr explicit DualComplex(ZeroInitT)
+        constexpr explicit DualComplex(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -119,7 +119,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
             {}
 
         /** @brief Construct without initializing the contents */
-        explicit DualComplex(NoInitT)
+        explicit DualComplex(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -134,7 +134,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *      \hat c = c_0 + \epsilon c_\epsilon
          * @f]
          */
-        constexpr /*implicit*/ DualComplex(const Complex<T>& real, const Complex<T>& dual = Complex<T>(T(0), T(0))): Dual<Complex<T>>(real, dual) {}
+        constexpr /*implicit*/ DualComplex(const Complex<T>& real, const Complex<T>& dual = Complex<T>(T(0), T(0))) noexcept: Dual<Complex<T>>(real, dual) {}
 
         /**
          * @brief Construct dual complex number from vector
@@ -144,9 +144,9 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        constexpr explicit DualComplex(const Vector2<T>& vector);
+        constexpr explicit DualComplex(const Vector2<T>& vector) noexcept;
         #else
-        constexpr explicit DualComplex(const Vector2<T>& vector): Dual<Complex<T>>({}, Complex<T>(vector)) {}
+        constexpr explicit DualComplex(const Vector2<T>& vector) noexcept: Dual<Complex<T>>({}, Complex<T>(vector)) {}
         #endif
 
         /**
@@ -155,7 +155,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * Performs only default casting on the values, no rounding or anything
          * else.
          */
-        template<class U> constexpr explicit DualComplex(const DualComplex<U>& other)
+        template<class U> constexpr explicit DualComplex(const DualComplex<U>& other) noexcept
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
             : Dual<Complex<T>>(other)
@@ -166,7 +166,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
         template<class U, class V = decltype(Implementation::DualComplexConverter<T, U>::from(std::declval<U>()))> constexpr explicit DualComplex(const U& other): DualComplex{Implementation::DualComplexConverter<T, U>::from(other)} {}
 
         /** @brief Copy constructor */
-        constexpr DualComplex(const Dual<Complex<T>>& other): Dual<Complex<T>>(other) {}
+        constexpr /*implicit*/ DualComplex(const Dual<Complex<T>>& other) noexcept: Dual<Complex<T>>(other) {}
 
         /** @brief Convert dual complex number to external representation */
         template<class U, class V = decltype(Implementation::DualComplexConverter<T, U>::to(std::declval<DualComplex<T>>()))> constexpr explicit operator U() const {
diff --git a/src/Magnum/Math/DualQuaternion.h b/src/Magnum/Math/DualQuaternion.h
index 361754515..d4b6d35d3 100644
--- a/src/Magnum/Math/DualQuaternion.h
+++ b/src/Magnum/Math/DualQuaternion.h
@@ -163,7 +163,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      \hat q = [\boldsymbol 0, 1] + \epsilon [\boldsymbol 0, 0]
          * @f]
          */
-        constexpr /*implicit*/ DualQuaternion(IdentityInitT = IdentityInit)
+        constexpr /*implicit*/ DualQuaternion(IdentityInitT = IdentityInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             : Dual<Quaternion<T>>({}, {{}, T(0)})
@@ -171,7 +171,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
             {}
 
         /** @brief Construct zero-initialized dual quaternion */
-        constexpr explicit DualQuaternion(ZeroInitT)
+        constexpr explicit DualQuaternion(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -180,7 +180,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
             {}
 
         /** @brief Construct without initializing the contents */
-        explicit DualQuaternion(NoInitT)
+        explicit DualQuaternion(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -195,7 +195,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      \hat q = q_0 + \epsilon q_\epsilon
          * @f]
          */
-        constexpr /*implicit*/ DualQuaternion(const Quaternion<T>& real, const Quaternion<T>& dual = Quaternion<T>({}, T(0))): Dual<Quaternion<T>>(real, dual) {}
+        constexpr /*implicit*/ DualQuaternion(const Quaternion<T>& real, const Quaternion<T>& dual = Quaternion<T>({}, T(0))) noexcept: Dual<Quaternion<T>>(real, dual) {}
 
         /**
          * @brief Construct dual quaternion from dual vector and scalar parts
@@ -204,7 +204,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      \hat q = [\hat{\boldsymbol v}, \hat s] = [\boldsymbol v_0, s_0] + \epsilon [\boldsymbol v_\epsilon, s_\epsilon]
          * @f]
          */
-        constexpr /*implicit*/ DualQuaternion(const Dual<Vector3<T>>& vector, const Dual<T>& scalar)
+        constexpr /*implicit*/ DualQuaternion(const Dual<Vector3<T>>& vector, const Dual<T>& scalar) noexcept
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
             : Dual<Quaternion<T>>({vector.real(), scalar.real()}, {vector.dual(), scalar.dual()})
@@ -220,9 +220,9 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @see @ref transformPointNormalized()
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        constexpr explicit DualQuaternion(const Vector3<T>& vector);
+        constexpr explicit DualQuaternion(const Vector3<T>& vector) noexcept;
         #else
-        constexpr explicit DualQuaternion(const Vector3<T>& vector): Dual<Quaternion<T>>({}, {vector, T(0)}) {}
+        constexpr explicit DualQuaternion(const Vector3<T>& vector) noexcept: Dual<Quaternion<T>>({}, {vector, T(0)}) {}
         #endif
 
         /**
@@ -231,13 +231,13 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * Performs only default casting on the values, no rounding or anything
          * else.
          */
-        template<class U> constexpr explicit DualQuaternion(const DualQuaternion<U>& other): Dual<Quaternion<T>>(other) {}
+        template<class U> constexpr explicit DualQuaternion(const DualQuaternion<U>& other) noexcept: Dual<Quaternion<T>>(other) {}
 
         /** @brief Construct dual quaternion from external representation */
         template<class U, class V = decltype(Implementation::DualQuaternionConverter<T, U>::from(std::declval<U>()))> constexpr explicit DualQuaternion(const U& other): DualQuaternion{Implementation::DualQuaternionConverter<T, U>::from(other)} {}
 
         /** @brief Copy constructor */
-        constexpr DualQuaternion(const Dual<Quaternion<T>>& other): Dual<Quaternion<T>>(other) {}
+        constexpr /*implicit*/ DualQuaternion(const Dual<Quaternion<T>>& other) noexcept: Dual<Quaternion<T>>(other) {}
 
         /** @brief Convert dual quaternion to external representation */
         template<class U, class V = decltype(Implementation::DualQuaternionConverter<T, U>::to(std::declval<DualQuaternion<T>>()))> constexpr explicit operator U() const {
diff --git a/src/Magnum/Math/Matrix.h b/src/Magnum/Math/Matrix.h
index 6be18b9fd..b34c7ed90 100644
--- a/src/Magnum/Math/Matrix.h
+++ b/src/Magnum/Math/Matrix.h
@@ -83,7 +83,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * Creates identity matrix. @p value allows you to specify value on
          * diagonal.
          */
-        constexpr /*implicit*/ Matrix(IdentityInitT = IdentityInit, T value = T(1))
+        constexpr /*implicit*/ Matrix(IdentityInitT = IdentityInit, T value = T(1)) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -92,7 +92,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
             {}
 
         /** @copydoc RectangularMatrix::RectangularMatrix(ZeroInitT) */
-        constexpr explicit Matrix(ZeroInitT)
+        constexpr explicit Matrix(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -101,7 +101,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
             {}
 
         /** @copydoc RectangularMatrix::RectangularMatrix(NoInitT) */
-        constexpr explicit Matrix(NoInitT)
+        constexpr explicit Matrix(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -114,7 +114,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * @param first First column vector
          * @param next  Next column vectors
          */
-        template<class ...U> constexpr /*implicit*/ Matrix(const Vector<size, T>& first, const U&... next): RectangularMatrix<size, size, T>(first, next...) {}
+        template<class ...U> constexpr /*implicit*/ Matrix(const Vector<size, T>& first, const U&... next) noexcept: RectangularMatrix<size, size, T>(first, next...) {}
 
         /**
          * @brief Construct matrix from another of different type
@@ -128,13 +128,13 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * // integral == {{1, 2}, {-15, 7}}
          * @endcode
          */
-        template<class U> constexpr explicit Matrix(const RectangularMatrix<size, size, U>& other): RectangularMatrix<size, size, T>(other) {}
+        template<class U> constexpr explicit Matrix(const RectangularMatrix<size, size, U>& other) noexcept: RectangularMatrix<size, size, T>(other) {}
 
         /** @brief Construct matrix from external representation */
         template<class U, class V = decltype(Implementation::RectangularMatrixConverter<size, size, T, U>::from(std::declval<U>()))> constexpr explicit Matrix(const U& other): RectangularMatrix<size, size, T>(Implementation::RectangularMatrixConverter<size, size, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Matrix(const RectangularMatrix<size, size, T>& other): RectangularMatrix<size, size, T>(other) {}
+        constexpr /*implicit*/ Matrix(const RectangularMatrix<size, size, T>& other) noexcept: RectangularMatrix<size, size, T>(other) {}
 
         /**
          * @brief Whether the matrix is orthogonal
diff --git a/src/Magnum/Math/Matrix3.h b/src/Magnum/Math/Matrix3.h
index 0906b4be4..be1eaa376 100644
--- a/src/Magnum/Math/Matrix3.h
+++ b/src/Magnum/Math/Matrix3.h
@@ -159,7 +159,7 @@ template<class T> class Matrix3: public Matrix3x3<T> {
          * Creates identity matrix. @p value allows you to specify value on
          * diagonal.
          */
-        constexpr /*implicit*/ Matrix3(IdentityInitT = IdentityInit, T value = T{1})
+        constexpr /*implicit*/ Matrix3(IdentityInitT = IdentityInit, T value = T{1}) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -168,7 +168,7 @@ template<class T> class Matrix3: public Matrix3x3<T> {
             {}
 
         /** @copydoc Matrix::Matrix(ZeroInitT) */
-        constexpr explicit Matrix3(ZeroInitT)
+        constexpr explicit Matrix3(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -177,7 +177,7 @@ template<class T> class Matrix3: public Matrix3x3<T> {
             {}
 
         /** @copydoc Matrix::Matrix(NoInitT) */
-        constexpr explicit Matrix3(NoInitT)
+        constexpr explicit Matrix3(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -186,16 +186,16 @@ template<class T> class Matrix3: public Matrix3x3<T> {
             {}
 
         /** @brief Matrix from column vectors */
-        constexpr /*implicit*/ Matrix3(const Vector3<T>& first, const Vector3<T>& second, const Vector3<T>& third): Matrix3x3<T>(first, second, third) {}
+        constexpr /*implicit*/ Matrix3(const Vector3<T>& first, const Vector3<T>& second, const Vector3<T>& third) noexcept: Matrix3x3<T>(first, second, third) {}
 
         /** @copydoc Matrix::Matrix(const RectangularMatrix<size, size, U>&) */
-        template<class U> constexpr explicit Matrix3(const RectangularMatrix<3, 3, U>& other): Matrix3x3<T>(other) {}
+        template<class U> constexpr explicit Matrix3(const RectangularMatrix<3, 3, U>& other) noexcept: Matrix3x3<T>(other) {}
 
         /** @brief Construct matrix from external representation */
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(std::declval<U>()))> constexpr explicit Matrix3(const U& other): Matrix3x3<T>(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(std::declval<U>()))> constexpr explicit Matrix3(const U& other) noexcept: Matrix3x3<T>(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Matrix3(const RectangularMatrix<3, 3, T>& other): Matrix3x3<T>(other) {}
+        constexpr /*implicit*/ Matrix3(const RectangularMatrix<3, 3, T>& other) noexcept: Matrix3x3<T>(other) {}
 
         /**
          * @brief Check whether the matrix represents rigid transformation
diff --git a/src/Magnum/Math/Matrix4.h b/src/Magnum/Math/Matrix4.h
index 9f391399e..d3ee65716 100644
--- a/src/Magnum/Math/Matrix4.h
+++ b/src/Magnum/Math/Matrix4.h
@@ -255,7 +255,7 @@ template<class T> class Matrix4: public Matrix4x4<T> {
          * Creates identity matrix. @p value allows you to specify value on
          * diagonal.
          */
-        constexpr /*implicit*/ Matrix4(IdentityInitT = IdentityInit, T value = T{1})
+        constexpr /*implicit*/ Matrix4(IdentityInitT = IdentityInit, T value = T{1}) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -264,7 +264,7 @@ template<class T> class Matrix4: public Matrix4x4<T> {
             {}
 
         /** @copydoc Matrix::Matrix(ZeroInitT) */
-        constexpr explicit Matrix4(ZeroInitT)
+        constexpr explicit Matrix4(ZeroInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -273,7 +273,7 @@ template<class T> class Matrix4: public Matrix4x4<T> {
             {}
 
         /** @copydoc Matrix::Matrix(NoInitT) */
-        constexpr explicit Matrix4(NoInitT)
+        constexpr explicit Matrix4(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -282,16 +282,16 @@ template<class T> class Matrix4: public Matrix4x4<T> {
             {}
 
         /** @brief Matrix from column vectors */
-        constexpr /*implicit*/ Matrix4(const Vector4<T>& first, const Vector4<T>& second, const Vector4<T>& third, const Vector4<T>& fourth): Matrix4x4<T>(first, second, third, fourth) {}
+        constexpr /*implicit*/ Matrix4(const Vector4<T>& first, const Vector4<T>& second, const Vector4<T>& third, const Vector4<T>& fourth) noexcept: Matrix4x4<T>(first, second, third, fourth) {}
 
         /** @copydoc Matrix::Matrix(const RectangularMatrix<size, size, U>&) */
-        template<class U> constexpr explicit Matrix4(const RectangularMatrix<4, 4, U>& other): Matrix4x4<T>(other) {}
+        template<class U> constexpr explicit Matrix4(const RectangularMatrix<4, 4, U>& other) noexcept: Matrix4x4<T>(other) {}
 
         /** @brief Construct matrix from external representation */
         template<class U, class V = decltype(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(std::declval<U>()))> constexpr explicit Matrix4(const U& other): Matrix4x4<T>(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Matrix4(const RectangularMatrix<4, 4, T>& other): Matrix4x4<T>(other) {}
+        constexpr /*implicit*/ Matrix4(const RectangularMatrix<4, 4, T>& other) noexcept: Matrix4x4<T>(other) {}
 
         /**
          * @brief Check whether the matrix represents rigid transformation
diff --git a/src/Magnum/Math/Quaternion.h b/src/Magnum/Math/Quaternion.h
index 82db72876..290949e14 100644
--- a/src/Magnum/Math/Quaternion.h
+++ b/src/Magnum/Math/Quaternion.h
@@ -205,13 +205,13 @@ template<class T> class Quaternion {
          *      q = [\boldsymbol 0, 1]
          * @f]
          */
-        constexpr /*implicit*/ Quaternion(IdentityInitT = IdentityInit): _scalar{T(1)} {}
+        constexpr /*implicit*/ Quaternion(IdentityInitT = IdentityInit) noexcept: _scalar{T(1)} {}
 
         /** @brief Construct zero-initialized quaternion */
-        constexpr explicit Quaternion(ZeroInitT): _vector{ZeroInit}, _scalar{T{0}} {}
+        constexpr explicit Quaternion(ZeroInitT) noexcept: _vector{ZeroInit}, _scalar{T{0}} {}
 
         /** @brief Construct without initializing the contents */
-        explicit Quaternion(NoInitT): _vector{NoInit} {}
+        explicit Quaternion(NoInitT) noexcept: _vector{NoInit} {}
 
         /**
          * @brief Construct quaternion from vector and scalar
@@ -220,7 +220,7 @@ template<class T> class Quaternion {
          *      q = [\boldsymbol v, s]
          * @f]
          */
-        constexpr /*implicit*/ Quaternion(const Vector3<T>& vector, T scalar): _vector(vector), _scalar(scalar) {}
+        constexpr /*implicit*/ Quaternion(const Vector3<T>& vector, T scalar) noexcept: _vector(vector), _scalar(scalar) {}
 
         /**
          * @brief Construct quaternion from vector
@@ -230,7 +230,7 @@ template<class T> class Quaternion {
          * @f]
          * @see @ref transformVector(), @ref transformVectorNormalized()
          */
-        constexpr explicit Quaternion(const Vector3<T>& vector): _vector(vector), _scalar(T(0)) {}
+        constexpr explicit Quaternion(const Vector3<T>& vector) noexcept: _vector(vector), _scalar(T(0)) {}
 
         /**
          * @brief Construct dual complex number from another of different type
@@ -238,11 +238,14 @@ template<class T> class Quaternion {
          * Performs only default casting on the values, no rounding or anything
          * else.
          */
-        template<class U> constexpr explicit Quaternion(const Quaternion<U>& other): _vector{other._vector}, _scalar{T(other._scalar)} {}
+        template<class U> constexpr explicit Quaternion(const Quaternion<U>& other) noexcept: _vector{other._vector}, _scalar{T(other._scalar)} {}
 
         /** @brief Construct quaternion from external representation */
         template<class U, class V = decltype(Implementation::QuaternionConverter<T, U>::from(std::declval<U>()))> constexpr explicit Quaternion(const U& other): Quaternion{Implementation::QuaternionConverter<T, U>::from(other)} {}
 
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Quaternion(const Quaternion<T>&) noexcept = default;
+
         /** @brief Convert quaternion to external representation */
         template<class U, class V = decltype(Implementation::QuaternionConverter<T, U>::to(std::declval<Quaternion<T>>()))> constexpr explicit operator U() const {
             return Implementation::QuaternionConverter<T, U>::to(*this);
diff --git a/src/Magnum/Math/Range.h b/src/Magnum/Math/Range.h
index 78a8fb195..ceefa56da 100644
--- a/src/Magnum/Math/Range.h
+++ b/src/Magnum/Math/Range.h
@@ -76,16 +76,13 @@ template<UnsignedInt dimensions, class T> class Range {
          *
          * Construct zero-size range positioned at origin.
          */
-        constexpr /*implicit*/ Range(ZeroInitT = ZeroInit): _min{ZeroInit}, _max{ZeroInit} {}
+        constexpr /*implicit*/ Range(ZeroInitT = ZeroInit) noexcept: _min{ZeroInit}, _max{ZeroInit} {}
 
         /** @brief Construct without initializing the contents */
-        explicit Range(NoInitT): _min{NoInit}, _max{NoInit} {}
+        explicit Range(NoInitT) noexcept: _min{NoInit}, _max{NoInit} {}
 
         /** @brief Construct range from minimal and maximal coordinates */
-        constexpr /*implicit*/ Range(const VectorType& min, const VectorType& max): _min{min}, _max{max} {}
-
-        /** @brief Copy constructor */
-        constexpr Range(const Range<dimensions, T>&) = default;
+        constexpr /*implicit*/ Range(const VectorType& min, const VectorType& max) noexcept: _min{min}, _max{max} {}
 
         /**
          * @brief Construct range from another of different type
@@ -97,11 +94,14 @@ template<UnsignedInt dimensions, class T> class Range {
          * Range2D<Byte> integral(floatingPoint); // {{1, 2}, {-15, 7}}
          * @endcode
          */
-        template<class U> constexpr explicit Range(const Range<dimensions, U>& other): _min(other._min), _max(other._max) {}
+        template<class U> constexpr explicit Range(const Range<dimensions, U>& other) noexcept: _min(other._min), _max(other._max) {}
 
         /** @brief Construct range from external representation */
         template<class U, class V = decltype(Implementation::RangeConverter<dimensions, T, U>::from(std::declval<U>()))> constexpr explicit Range(const U& other): Range{Implementation::RangeConverter<dimensions, T, U>::from(other)} {}
 
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Range(const Range<dimensions, T>&) noexcept = default;
+
         /** @brief Convert range to external representation */
         template<class U, class V = decltype(Implementation::RangeConverter<dimensions, T, U>::to(std::declval<Range<dimensions, T>>()))> constexpr explicit operator U() const {
             return Implementation::RangeConverter<dimensions, T, U>::to(*this);
@@ -230,7 +230,7 @@ See @ref Range for more information.
 template<class T> class Range2D: public Range<2, T> {
     public:
         /** @copydoc Range(ZeroInitT) */
-        constexpr /*implicit*/ Range2D(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Range2D(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -239,7 +239,7 @@ template<class T> class Range2D: public Range<2, T> {
             {}
 
         /** @copydoc Range(NoInitT) */
-        explicit Range2D(NoInitT)
+        explicit Range2D(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -248,13 +248,10 @@ template<class T> class Range2D: public Range<2, T> {
             {}
 
         /** @copydoc Range(const VectorType&, const VectorType&) */
-        constexpr /*implicit*/ Range2D(const Vector2<T>& min, const Vector2<T>& max): Range<2, T>(min, max) {}
-
-        /** @copydoc Range(const Range&) */
-        constexpr /*implicit*/ Range2D(const Range<2, T>& other): Range<2, T>(other) {}
+        constexpr /*implicit*/ Range2D(const Vector2<T>& min, const Vector2<T>& max) noexcept: Range<2, T>(min, max) {}
 
         /** @copydoc Range(const Range<dimensions, U>&) */
-        template<class U> constexpr explicit Range2D(const Range2D<U>& other): Range<2, T>(other) {}
+        template<class U> constexpr explicit Range2D(const Range2D<U>& other) noexcept: Range<2, T>(other) {}
 
         /**
          * @brief Construct range from external representation
@@ -274,6 +271,9 @@ template<class T> class Range2D: public Range<2, T> {
             #endif
             {}
 
+        /** @copydoc Range(const Range&) */
+        constexpr /*implicit*/ Range2D(const Range<2, T>& other) noexcept: Range<2, T>(other) {}
+
         /**
          * @brief Bottom left corner
          *
@@ -364,7 +364,7 @@ See @ref Range for more information.
 template<class T> class Range3D: public Range<3, T> {
     public:
         /** @copydoc Range(ZeroInitT) */
-        constexpr /*implicit*/ Range3D(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Range3D(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -373,7 +373,7 @@ template<class T> class Range3D: public Range<3, T> {
             {}
 
         /** @copybrief Range(NoInitT) */
-        explicit Range3D(NoInitT)
+        explicit Range3D(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -382,25 +382,25 @@ template<class T> class Range3D: public Range<3, T> {
             {}
 
         /** @copydoc Range(const VectorType&, const VectorType&) */
-        constexpr /*implicit*/ Range3D(const Vector3<T>& min, const Vector3<T>& max): Range<3, T>(min, max) {}
-
-        /** @copydoc Range(const Range&) */
-        constexpr /*implicit*/ Range3D(const Range<3, T>& other): Range<3, T>(other) {}
+        constexpr /*implicit*/ Range3D(const Vector3<T>& min, const Vector3<T>& max) noexcept: Range<3, T>(min, max) {}
 
         /** @copydoc Range(const Range<dimensions, U>&) */
-        template<class U> constexpr explicit Range3D(const Range3D<U>& other): Range<3, T>(other) {}
+        template<class U> constexpr explicit Range3D(const Range3D<U>& other) noexcept: Range<3, T>(other) {}
 
         /**
          * @brief Construct range from external representation
          * @todoc Remove workaround when Doxygen no longer chokes on that line
          */
-        template<class U, class V = decltype(Implementation::RangeConverter<3, T, U>::from(std::declval<U>()))> constexpr explicit Range3D(const U& other)
+        template<class U, class V = decltype(Implementation::RangeConverter<3, T, U>::from(std::declval<U>()))> constexpr explicit Range3D(const U& other) noexcept
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
             : Range<3, T>(Implementation::RangeConverter<3, T, U>::from(other))
             #endif
             {}
 
+        /** @copydoc Range(const Range&) */
+        constexpr /*implicit*/ Range3D(const Range<3, T>& other) noexcept: Range<3, T>(other) {}
+
         /**
          * @brief Back bottom left corner
          *
diff --git a/src/Magnum/Math/RectangularMatrix.h b/src/Magnum/Math/RectangularMatrix.h
index 9e9d6a594..76b8d67e0 100644
--- a/src/Magnum/Math/RectangularMatrix.h
+++ b/src/Magnum/Math/RectangularMatrix.h
@@ -103,12 +103,12 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see @ref diagonal()
          */
-        constexpr static RectangularMatrix<cols, rows, T> fromDiagonal(const Vector<DiagonalSize, T>& diagonal) {
+        constexpr static RectangularMatrix<cols, rows, T> fromDiagonal(const Vector<DiagonalSize, T>& diagonal) noexcept {
             return RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), diagonal);
         }
 
         /** @brief Construct zero-filled matrix */
-        constexpr /*implicit*/ RectangularMatrix(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ RectangularMatrix(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -117,7 +117,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
             {}
 
         /** @brief Construct matrix without initializing the contents */
-        explicit RectangularMatrix(NoInitT)
+        explicit RectangularMatrix(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -132,7 +132,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @todo Creating matrix from arbitrary combination of matrices with n rows
          */
-        template<class ...U> constexpr /*implicit*/ RectangularMatrix(const Vector<rows, T>& first, const U&... next): _data{first, next...} {
+        template<class ...U> constexpr /*implicit*/ RectangularMatrix(const Vector<rows, T>& first, const U&... next) noexcept: _data{first, next...} {
             static_assert(sizeof...(next)+1 == cols, "Improper number of arguments passed to RectangularMatrix constructor");
         }
 
@@ -147,13 +147,13 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * // integral == {1, 2, -15, 7}
          * @endcode
          */
-        template<class U> constexpr explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other): RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), other) {}
+        template<class U> constexpr explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other) noexcept: RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), other) {}
 
         /** @brief Construct matrix from external representation */
         template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(std::declval<U>()))> constexpr explicit RectangularMatrix(const U& other): RectangularMatrix(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr RectangularMatrix(const RectangularMatrix<cols, rows, T>&) = default;
+        constexpr /*implicit*/ RectangularMatrix(const RectangularMatrix<cols, rows, T>&) noexcept = default;
 
         /** @brief Convert matrix to external representation */
         template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::to(std::declval<RectangularMatrix<cols, rows, T>>()))> constexpr explicit operator U() const {
@@ -393,11 +393,11 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
 
     private:
         /* Implementation for RectangularMatrix<cols, rows, T>::RectangularMatrix(const RectangularMatrix<cols, rows, U>&) */
-        template<class U, std::size_t ...sequence> constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, const RectangularMatrix<cols, rows, U>& matrix): _data{Vector<rows, T>(matrix[sequence])...} {}
+        template<class U, std::size_t ...sequence> constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, const RectangularMatrix<cols, rows, U>& matrix) noexcept: _data{Vector<rows, T>(matrix[sequence])...} {}
 
         /* Implementation for RectangularMatrix<cols, rows, T>::RectangularMatrix(ZeroInitT) and RectangularMatrix<cols, rows, T>::RectangularMatrix(NoInitT) */
         /* MSVC 2015 can't handle {} here */
-        template<class U, std::size_t ...sequence> constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, U): _data{Vector<rows, T>((static_cast<void>(sequence), U{typename U::Init{}}))...} {}
+        template<class U, std::size_t ...sequence> constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, U) noexcept: _data{Vector<rows, T>((static_cast<void>(sequence), U{typename U::Init{}}))...} {}
 
         template<std::size_t ...sequence> constexpr RectangularMatrix<cols, rows, T> flippedColsInternal(Implementation::Sequence<sequence...>) const {
             return {(*this)[sequence]...};
diff --git a/src/Magnum/Math/Test/AngleTest.cpp b/src/Magnum/Math/Test/AngleTest.cpp
index 64a8877a5..5cc6056be 100644
--- a/src/Magnum/Math/Test/AngleTest.cpp
+++ b/src/Magnum/Math/Test/AngleTest.cpp
@@ -79,6 +79,9 @@ void AngleTest::construct() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Rad>::value));
     CORRADE_VERIFY(!(std::is_convertible<Double, Degd>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Deg, Float>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Rad, Float>::value));
 }
 
 void AngleTest::constructDefault() {
@@ -90,6 +93,11 @@ void AngleTest::constructDefault() {
     constexpr Radd a2{ZeroInit};
     CORRADE_COMPARE(Double(a1), 0.0);
     CORRADE_COMPARE(Double(a2), 0.0);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Deg>::value);
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Rad>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Deg, ZeroInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Rad, ZeroInitT>::value));
 }
 
 void AngleTest::constructNoInit() {
@@ -99,6 +107,9 @@ void AngleTest::constructNoInit() {
     new(&b) Rad{NoInit};
     CORRADE_COMPARE(Float(a), 25.0f);
     CORRADE_COMPARE(Float(b), 3.14f);
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Deg, NoInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Rad, NoInitT>::value));
 }
 
 void AngleTest::constructConversion() {
@@ -113,6 +124,9 @@ void AngleTest::constructConversion() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Degd, Deg>::value));
     CORRADE_VERIFY(!(std::is_convertible<Rad, Radd>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Deg, Degd>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Radd, Rad>::value));
 }
 
 void AngleTest::constructCopy() {
@@ -123,6 +137,11 @@ void AngleTest::constructCopy() {
     CORRADE_COMPARE(c, a);
     constexpr Radd d(b);
     CORRADE_COMPARE(d, b);
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Deg>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Rad>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Deg>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Rad>::value);
 }
 
 void AngleTest::literals() {
diff --git a/src/Magnum/Math/Test/BoolVectorTest.cpp b/src/Magnum/Math/Test/BoolVectorTest.cpp
index 4a6d8c78d..a380b34f8 100644
--- a/src/Magnum/Math/Test/BoolVectorTest.cpp
+++ b/src/Magnum/Math/Test/BoolVectorTest.cpp
@@ -83,6 +83,8 @@ BoolVectorTest::BoolVectorTest() {
 void BoolVectorTest::construct() {
     constexpr BoolVector19 a = {0xa5, 0x5f, 0x07};
     CORRADE_COMPARE(a, BoolVector19(0xa5, 0x5f, 0x07));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<BoolVector19, UnsignedByte, UnsignedByte, UnsignedByte>::value));
 }
 
 void BoolVectorTest::constructDefault() {
@@ -90,12 +92,17 @@ void BoolVectorTest::constructDefault() {
     constexpr BoolVector19 b{ZeroInit};
     CORRADE_COMPARE(a, BoolVector19(0x00, 0x00, 0x00));
     CORRADE_COMPARE(b, BoolVector19(0x00, 0x00, 0x00));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<BoolVector19>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<BoolVector19, ZeroInitT>::value));
 }
 
 void BoolVectorTest::constructNoInit() {
     BoolVector19 a{0xa5, 0x5f, 0x07};
     new(&a) BoolVector19{NoInit};
     CORRADE_COMPARE(a, BoolVector19(0xa5, 0x5f, 0x07));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<BoolVector19, NoInitT>::value));
 }
 
 void BoolVectorTest::constructOneValue() {
@@ -106,6 +113,8 @@ void BoolVectorTest::constructOneValue() {
     CORRADE_COMPARE(b, BoolVector19(0xff, 0xff, 0x07));
 
     CORRADE_VERIFY(!(std::is_convertible<bool, BoolVector19>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<BoolVector19, bool>::value));
 }
 
 void BoolVectorTest::constructOneElement() {
@@ -113,12 +122,17 @@ void BoolVectorTest::constructOneElement() {
 
     constexpr BoolVector1 a = 0x01;
     CORRADE_COMPARE(a, BoolVector1(0x01));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<BoolVector1, UnsignedByte>::value));
 }
 
 void BoolVectorTest::constructCopy() {
     constexpr BoolVector19 a = {0xa5, 0x5f, 0x07};
     constexpr BoolVector19 b(a);
     CORRADE_COMPARE(b, BoolVector19(0xa5, 0x5f, 0x07));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<BoolVector19>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<BoolVector19>::value);
 }
 
 void BoolVectorTest::data() {
diff --git a/src/Magnum/Math/Test/ColorTest.cpp b/src/Magnum/Math/Test/ColorTest.cpp
index 10871e926..85fef7b08 100644
--- a/src/Magnum/Math/Test/ColorTest.cpp
+++ b/src/Magnum/Math/Test/ColorTest.cpp
@@ -119,6 +119,9 @@ void ColorTest::construct() {
     constexpr Color4ub d = {10, 25, 176};
     CORRADE_COMPARE(c, Vector4(1.0f, 0.5f, 0.75f, 1.0f));
     CORRADE_COMPARE(d, Math::Vector4<UnsignedByte>(10, 25, 176, 255));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color3, Float, Float, Float>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, Float, Float, Float, Float>::value));
 }
 
 void ColorTest::constructDefault() {
@@ -134,6 +137,11 @@ void ColorTest::constructDefault() {
 
     constexpr Color4ub c;
     CORRADE_COMPARE(c, Color4ub(0, 0, 0, 0));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Color3>::value);
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Color4>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color3, ZeroInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, ZeroInitT>::value));
 }
 
 void ColorTest::constructNoInit() {
@@ -143,6 +151,9 @@ void ColorTest::constructNoInit() {
     new(&b) Color4{Math::NoInit};
     CORRADE_COMPARE(a, (Color3{1.0f, 0.5f, 0.75f}));
     CORRADE_COMPARE(b, (Color4{1.0f, 0.5f, 0.75f, 0.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color3, NoInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, NoInitT>::value));
 }
 
 void ColorTest::constructOneValue() {
@@ -161,6 +172,9 @@ void ColorTest::constructOneValue() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Color3>::value));
     CORRADE_VERIFY(!(std::is_convertible<Float, Color4>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color3, Float>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, Float, Float>::value));
 }
 
 void ColorTest::constructParts() {
@@ -175,6 +189,8 @@ void ColorTest::constructParts() {
     constexpr Color4ub e = c;
     CORRADE_COMPARE(d, Color4(1.0f, 0.5f, 0.75f, 1.0f));
     CORRADE_COMPARE(e, Color4ub(10, 25, 176, 255));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, Color3, Float>::value));
 }
 
 void ColorTest::constructConversion() {
@@ -189,6 +205,9 @@ void ColorTest::constructConversion() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Color3, Color3ub>::value));
     CORRADE_VERIFY(!(std::is_convertible<Color4, Color4ub>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color3ub, Color3>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Color4, Color4ub>::value));
 }
 
 void ColorTest::constructNormalization() {
@@ -215,6 +234,11 @@ void ColorTest::constructCopy() {
     #endif
     Color4 d(c);
     CORRADE_COMPARE(d, Color4(1.0f, 0.5f, 0.75f, 0.25f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Color3>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Color4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Color3>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Color4>::value);
 }
 
 void ColorTest::literals() {
diff --git a/src/Magnum/Math/Test/ComplexTest.cpp b/src/Magnum/Math/Test/ComplexTest.cpp
index c24dff8d4..70e7c5862 100644
--- a/src/Magnum/Math/Test/ComplexTest.cpp
+++ b/src/Magnum/Math/Test/ComplexTest.cpp
@@ -141,6 +141,8 @@ void ComplexTest::construct() {
     constexpr Float c = a.imaginary();
     CORRADE_COMPARE(b, 0.5f);
     CORRADE_COMPARE(c, -3.7f);
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, Float, Float>::value));
 }
 
 void ComplexTest::constructIdentity() {
@@ -150,17 +152,24 @@ void ComplexTest::constructIdentity() {
     CORRADE_COMPARE(b, Complex(1.0f, 0.0f));
     CORRADE_COMPARE(a.length(), 1.0f);
     CORRADE_COMPARE(b.length(), 1.0f);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Complex>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, IdentityInitT>::value));
 }
 
 void ComplexTest::constructZero() {
     constexpr Complex a{ZeroInit};
     CORRADE_COMPARE(a, Complex(0.0f, 0.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, ZeroInitT>::value));
 }
 
 void ComplexTest::constructNoInit() {
     Complex a{0.5f, -3.7f};
     new(&a) Complex{NoInit};
     CORRADE_COMPARE(a, Complex(0.5f, -3.7f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, NoInitT>::value));
 }
 
 void ComplexTest::constructFromVector() {
@@ -175,6 +184,8 @@ void ComplexTest::constructFromVector() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector2, Complex>::value));
     CORRADE_VERIFY(!(std::is_convertible<Complex, Vector2>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, Vector2>::value));
 }
 
 void ComplexTest::constructConversion() {
@@ -187,12 +198,17 @@ void ComplexTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Complex, Complexi>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Complex, Complexi>::value));
 }
 
 void ComplexTest::constructCopy() {
     constexpr Complex a(2.5f, -5.0f);
     constexpr Complex b(a);
     CORRADE_COMPARE(b, Complex(2.5f, -5.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Complex>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Complex>::value);
 }
 
 void ComplexTest::convert() {
diff --git a/src/Magnum/Math/Test/DualComplexTest.cpp b/src/Magnum/Math/Test/DualComplexTest.cpp
index 892f9d36c..f077bb0e8 100644
--- a/src/Magnum/Math/Test/DualComplexTest.cpp
+++ b/src/Magnum/Math/Test/DualComplexTest.cpp
@@ -141,6 +141,8 @@ void DualComplexTest::construct() {
 
     constexpr DualComplex d(Complex(-1.0f, 2.5f));
     CORRADE_COMPARE(d, DualComplex({-1.0f, 2.5f}, {0.0f, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, Complex, Complex>::value));
 }
 
 void DualComplexTest::constructIdentity() {
@@ -150,17 +152,24 @@ void DualComplexTest::constructIdentity() {
     CORRADE_COMPARE(b, DualComplex({1.0f, 0.0f}, {0.0f, 0.0f}));
     CORRADE_COMPARE(a.length(), 1.0f);
     CORRADE_COMPARE(b.length(), 1.0f);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<DualComplex>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, IdentityInitT>::value));
 }
 
 void DualComplexTest::constructZero() {
     constexpr DualComplex a{ZeroInit};
     CORRADE_COMPARE(a, DualComplex({0.0f, 0.0f}, {0.0f, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, ZeroInitT>::value));
 }
 
 void DualComplexTest::constructNoInit() {
     DualComplex a{{-1.0f, 2.5f}, {3.0f, -7.5f}};
     new(&a) DualComplex{NoInit};
     CORRADE_COMPARE(a, DualComplex({-1.0f, 2.5f}, {3.0f, -7.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, NoInitT>::value));
 }
 
 void DualComplexTest::constructFromVector() {
@@ -169,6 +178,8 @@ void DualComplexTest::constructFromVector() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector2, DualComplex>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, Vector2>::value));
 }
 
 void DualComplexTest::constructConversion() {
@@ -181,6 +192,8 @@ void DualComplexTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<DualComplex, DualComplexi>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualComplex, DualComplexi>::value));
 }
 
 void DualComplexTest::constructCopy() {
@@ -190,6 +203,9 @@ void DualComplexTest::constructCopy() {
     #endif
     DualComplex b(a);
     CORRADE_COMPARE(b, DualComplex({-1.0f, 2.5f}, {3.0f, -7.5f}));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<DualComplex>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<DualComplex>::value);
 }
 
 void DualComplexTest::convert() {
diff --git a/src/Magnum/Math/Test/DualQuaternionTest.cpp b/src/Magnum/Math/Test/DualQuaternionTest.cpp
index 7d8884026..a83535c10 100644
--- a/src/Magnum/Math/Test/DualQuaternionTest.cpp
+++ b/src/Magnum/Math/Test/DualQuaternionTest.cpp
@@ -150,6 +150,8 @@ void DualQuaternionTest::construct() {
 
     constexpr DualQuaternion d({{1.0f, 2.0f, 3.0f}, -4.0f});
     CORRADE_COMPARE(d, DualQuaternion({{1.0f, 2.0f, 3.0f}, -4.0f}, {{0.0f, 0.0f, 0.0f}, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, Quaternion, Quaternion>::value));
 }
 
 void DualQuaternionTest::constructVectorScalar() {
@@ -161,6 +163,8 @@ void DualQuaternionTest::constructVectorScalar() {
 
     constexpr Quaternion c = a.dual();
     CORRADE_COMPARE(c, Quaternion({0.5f, -3.1f, 3.3f}, 2.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, Math::Dual<Vector3>, Math::Dual<Float>>::value));
 }
 
 void DualQuaternionTest::constructIdentity() {
@@ -170,17 +174,24 @@ void DualQuaternionTest::constructIdentity() {
     CORRADE_COMPARE(b, DualQuaternion({{0.0f, 0.0f, 0.0f}, 1.0f}, {{0.0f, 0.0f, 0.0f}, 0.0f}));
     CORRADE_COMPARE(a.length(), 1.0f);
     CORRADE_COMPARE(b.length(), 1.0f);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<DualQuaternion>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, IdentityInitT>::value));
 }
 
 void DualQuaternionTest::constructZero() {
     constexpr DualQuaternion a{ZeroInit};
     CORRADE_COMPARE(a, DualQuaternion({{0.0f, 0.0f, 0.0f}, 0.0f}, {{0.0f, 0.0f, 0.0f}, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, ZeroInitT>::value));
 }
 
 void DualQuaternionTest::constructNoInit() {
     DualQuaternion a{{{1.0f, 2.0f, 3.0f}, -4.0f}, {{0.5f, -3.1f, 3.3f}, 2.0f}};
     new(&a) DualQuaternion{NoInit};
     CORRADE_COMPARE(a, DualQuaternion({{1.0f, 2.0f, 3.0f}, -4.0f}, {{0.5f, -3.1f, 3.3f}, 2.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, NoInitT>::value));
 }
 
 void DualQuaternionTest::constructFromVector() {
@@ -189,6 +200,8 @@ void DualQuaternionTest::constructFromVector() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector3, DualQuaternion>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, Vector3>::value));
 }
 
 void DualQuaternionTest::constructConversion() {
@@ -201,6 +214,8 @@ void DualQuaternionTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<DualQuaternion, DualQuaternioni>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<DualQuaternion, DualQuaternioni>::value));
 }
 
 void DualQuaternionTest::constructCopy() {
@@ -210,6 +225,9 @@ void DualQuaternionTest::constructCopy() {
     #endif
     DualQuaternion b(a);
     CORRADE_COMPARE(b, DualQuaternion({{1.0f, 2.0f, -3.0f}, -3.5f}, {{4.5f, -7.0f, 2.0f}, 1.0f}));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<DualQuaternion>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<DualQuaternion>::value);
 }
 
 void DualQuaternionTest::convert() {
diff --git a/src/Magnum/Math/Test/DualTest.cpp b/src/Magnum/Math/Test/DualTest.cpp
index c99cebcbf..dbb5c4b44 100644
--- a/src/Magnum/Math/Test/DualTest.cpp
+++ b/src/Magnum/Math/Test/DualTest.cpp
@@ -27,6 +27,7 @@
 #include <Corrade/TestSuite/Tester.h>
 
 #include "Magnum/Math/Dual.h"
+#include "Magnum/Math/Quaternion.h"
 #include "Magnum/Math/Vector2.h"
 
 namespace Magnum { namespace Math { namespace Test {
@@ -106,17 +107,29 @@ void DualTest::construct() {
     constexpr Dual d(3.0f);
     CORRADE_COMPARE(d.real(), 3.0f);
     CORRADE_COMPARE(d.dual(), 0.0f);
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Dual, Float, Float>::value));
 }
 
 void DualTest::constructDefault() {
     constexpr Dual a;
+    constexpr Math::Dual<Math::Quaternion<Float>> b;
     CORRADE_COMPARE(a, Dual(0.0f, 0.0f));
+    CORRADE_COMPARE(b, Math::Dual<Math::Quaternion<Float>>({{0.0f, 0.0f, 0.0f}, 1.0f}, {{0.0f, 0.0f, 0.0f}, 1.0f}));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Dual>::value);
 }
 
 void DualTest::constructNoInit() {
     Dual a{2.0f, -7.5f};
+    Math::Dual<Math::Quaternion<Float>> b{{{3.0f, 0.1f, 1.0f}, 1.0f}, {{0.1f, 0.0f, 1.0f}, 0.3f}};
     new(&a) Dual{NoInit};
+    new(&b) Math::Dual<Math::Quaternion<Float>>{NoInit};
     CORRADE_COMPARE(a, Dual(2.0f, -7.5f));
+    CORRADE_COMPARE(b, (Math::Dual<Math::Quaternion<Float>>{{{3.0f, 0.1f, 1.0f}, 1.0f}, {{0.1f, 0.0f, 1.0f}, 0.3f}}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Dual, NoInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Math::Dual<Math::Quaternion<Float>>, NoInitT>::value));
 }
 
 void DualTest::constructConversion() {
@@ -129,12 +142,17 @@ void DualTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Dual, Duali>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Dual, Duali>::value));
 }
 
 void DualTest::constructCopy() {
     constexpr Dual a(2.0f, 3.0f);
     constexpr Dual b(a);
     CORRADE_COMPARE(b, Dual(2.0f, 3.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Dual>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Dual>::value);
 }
 
 void DualTest::compare() {
diff --git a/src/Magnum/Math/Test/Matrix3Test.cpp b/src/Magnum/Math/Test/Matrix3Test.cpp
index be6d680e0..322181471 100644
--- a/src/Magnum/Math/Test/Matrix3Test.cpp
+++ b/src/Magnum/Math/Test/Matrix3Test.cpp
@@ -136,6 +136,8 @@ void Matrix3Test::construct() {
     CORRADE_COMPARE(a, Matrix3({3.0f,  5.0f, 8.0f},
                                {4.5f,  4.0f, 7.0f},
                                {7.9f, -1.0f, 8.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, Vector3, Vector3, Vector3>::value));
 }
 
 void Matrix3Test::constructIdentity() {
@@ -154,6 +156,9 @@ void Matrix3Test::constructIdentity() {
     CORRADE_COMPARE(identity, identityExpected);
     CORRADE_COMPARE(identity2, identityExpected);
     CORRADE_COMPARE(identity3, identity3Expected);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Matrix3>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, IdentityInitT>::value));
 }
 
 void Matrix3Test::constructZero() {
@@ -161,6 +166,8 @@ void Matrix3Test::constructZero() {
     CORRADE_COMPARE(a, Matrix3({0.0f, 0.0f, 0.0f},
                                {0.0f, 0.0f, 0.0f},
                                {0.0f, 0.0f, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, ZeroInitT>::value));
 }
 
 void Matrix3Test::constructNoInit() {
@@ -171,6 +178,8 @@ void Matrix3Test::constructNoInit() {
     CORRADE_COMPARE(a, Matrix3({3.0f,  5.0f, 8.0f},
                                {4.5f,  4.0f, 7.0f},
                                {7.9f, -1.0f, 8.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, NoInitT>::value));
 }
 
 void Matrix3Test::constructConversion() {
@@ -184,6 +193,8 @@ void Matrix3Test::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Matrix3, Matrix3i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, Matrix3i>::value));
 }
 
 void Matrix3Test::constructCopy() {
@@ -197,6 +208,9 @@ void Matrix3Test::constructCopy() {
     CORRADE_COMPARE(b, Matrix3({3.0f,  5.0f, 8.0f},
                                {4.5f,  4.0f, 7.0f},
                                {7.9f, -1.0f, 8.0f}));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Matrix3>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Matrix3>::value);
 }
 
 void Matrix3Test::convert() {
diff --git a/src/Magnum/Math/Test/Matrix4Test.cpp b/src/Magnum/Math/Test/Matrix4Test.cpp
index 7d1bf5ae5..49e20cade 100644
--- a/src/Magnum/Math/Test/Matrix4Test.cpp
+++ b/src/Magnum/Math/Test/Matrix4Test.cpp
@@ -107,6 +107,7 @@ typedef Math::Matrix4<Float> Matrix4;
 typedef Math::Matrix4<Int> Matrix4i;
 typedef Math::Matrix<3, Float> Matrix3x3;
 typedef Math::Vector3<Float> Vector3;
+typedef Math::Vector4<Float> Vector4;
 typedef Math::Constants<Float> Constants;
 
 Matrix4Test::Matrix4Test() {
@@ -159,6 +160,8 @@ void Matrix4Test::construct() {
                                {4.5f,  4.0f, 7.0f,  2.0f},
                                {1.0f,  2.0f, 3.0f, -1.0f},
                                {7.9f, -1.0f, 8.0f, -1.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4, Vector4, Vector4, Vector4, Vector4>::value));
 }
 
 void Matrix4Test::constructIdentity() {
@@ -179,6 +182,9 @@ void Matrix4Test::constructIdentity() {
     CORRADE_COMPARE(identity, identityExpected);
     CORRADE_COMPARE(identity2, identityExpected);
     CORRADE_COMPARE(identity3, identity3Expected);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Matrix4>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4, IdentityInitT>::value));
 }
 
 void Matrix4Test::constructZero() {
@@ -187,6 +193,8 @@ void Matrix4Test::constructZero() {
                                {0.0f, 0.0f, 0.0f, 0.0f},
                                {0.0f, 0.0f, 0.0f, 0.0f},
                                {0.0f, 0.0f, 0.0f, 0.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4, ZeroInitT>::value));
 }
 
 void Matrix4Test::constructNoInit() {
@@ -199,6 +207,8 @@ void Matrix4Test::constructNoInit() {
                                {4.5f,  4.0f, 7.0f,  2.0f},
                                {1.0f,  2.0f, 3.0f, -1.0f},
                                {7.9f, -1.0f, 8.0f, -1.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4, NoInitT>::value));
 }
 
 void Matrix4Test::constructConversion() {
@@ -214,6 +224,8 @@ void Matrix4Test::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Matrix4, Matrix4i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4, Matrix4i>::value));
 }
 
 void Matrix4Test::constructCopy() {
@@ -229,6 +241,9 @@ void Matrix4Test::constructCopy() {
                                {4.5f,  4.0f, 7.0f,  2.0f},
                                {1.0f,  2.0f, 3.0f, -1.0f},
                                {7.9f, -1.0f, 8.0f, -1.5f}));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Matrix4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Matrix4>::value);
 }
 
 void Matrix4Test::convert() {
diff --git a/src/Magnum/Math/Test/MatrixTest.cpp b/src/Magnum/Math/Test/MatrixTest.cpp
index 7a216e220..8b124f0a7 100644
--- a/src/Magnum/Math/Test/MatrixTest.cpp
+++ b/src/Magnum/Math/Test/MatrixTest.cpp
@@ -123,6 +123,8 @@ void MatrixTest::construct() {
                                  Vector4(4.5f,  4.0f, 7.0f,  2.0f),
                                  Vector4(1.0f,  2.0f, 3.0f, -1.0f),
                                  Vector4(7.9f, -1.0f, 8.0f, -1.5f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x4, Vector4, Vector4, Vector4, Vector4>::value));
 }
 
 void MatrixTest::constructIdentity() {
@@ -143,6 +145,9 @@ void MatrixTest::constructIdentity() {
     CORRADE_COMPARE(identity, identityExpected);
     CORRADE_COMPARE(identity2, identityExpected);
     CORRADE_COMPARE(identity3, identity3Expected);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Matrix4x4>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x4, IdentityInitT>::value));
 }
 
 void MatrixTest::constructZero() {
@@ -151,6 +156,8 @@ void MatrixTest::constructZero() {
                                  Vector4(0.0f, 0.0f, 0.0f, 0.0f),
                                  Vector4(0.0f, 0.0f, 0.0f, 0.0f),
                                  Vector4(0.0f, 0.0f, 0.0f, 0.0f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x4, ZeroInitT>::value));
 }
 
 void MatrixTest::constructNoInit() {
@@ -163,6 +170,8 @@ void MatrixTest::constructNoInit() {
                                  Vector4(4.5f,  4.0f, 7.0f,  2.0f),
                                  Vector4(1.0f,  2.0f, 3.0f, -1.0f),
                                  Vector4(7.9f, -1.0f, 8.0f, -1.5f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x4, NoInitT>::value));
 }
 
 void MatrixTest::constructConversion() {
@@ -178,6 +187,8 @@ void MatrixTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Matrix4x4, Matrix4x4i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x4, Matrix4x4i>::value));
 }
 
 void MatrixTest::constructCopy() {
@@ -193,6 +204,9 @@ void MatrixTest::constructCopy() {
                                  Vector4(4.5f,  4.0f, 7.0f,  2.0f),
                                  Vector4(1.0f,  2.0f, 3.0f, -1.0f),
                                  Vector4(7.9f, -1.0f, 8.0f, -1.5f)));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Matrix4x4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Matrix4x4>::value);
 }
 
 void MatrixTest::convert() {
diff --git a/src/Magnum/Math/Test/QuaternionTest.cpp b/src/Magnum/Math/Test/QuaternionTest.cpp
index 106c3a366..908dc7ac3 100644
--- a/src/Magnum/Math/Test/QuaternionTest.cpp
+++ b/src/Magnum/Math/Test/QuaternionTest.cpp
@@ -148,6 +148,8 @@ void QuaternionTest::construct() {
     constexpr Float c = a.scalar();
     CORRADE_COMPARE(b, Vector3(1.0f, 2.0f, 3.0f));
     CORRADE_COMPARE(c, -4.0f);
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, Vector3, Float>::value));
 }
 
 void QuaternionTest::constructIdentity() {
@@ -157,17 +159,24 @@ void QuaternionTest::constructIdentity() {
     CORRADE_COMPARE(b, Quaternion({0.0f, 0.0f, 0.0f}, 1.0f));
     CORRADE_COMPARE(a.length(), 1.0f);
     CORRADE_COMPARE(b.length(), 1.0f);
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Quaternion>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, IdentityInitT>::value));
 }
 
 void QuaternionTest::constructZero() {
     constexpr Quaternion a{ZeroInit};
     CORRADE_COMPARE(a, Quaternion({0.0f, 0.0f, 0.0f}, 0.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, ZeroInitT>::value));
 }
 
 void QuaternionTest::constructNoInit() {
     Quaternion a{{1.0f, 2.0f, 3.0f}, -4.0f};
     new(&a) Quaternion{NoInit};
     CORRADE_COMPARE(a, Quaternion({1.0f, 2.0f, 3.0f}, -4.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, NoInitT>::value));
 }
 
 void QuaternionTest::constructFromVector() {
@@ -176,6 +185,8 @@ void QuaternionTest::constructFromVector() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector3, Quaternion>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, Vector3>::value));
 }
 
 void QuaternionTest::constructConversion() {
@@ -188,12 +199,17 @@ void QuaternionTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Quaternion, Quaternioni>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Quaternion, Quaternioni>::value));
 }
 
 void QuaternionTest::constructCopy() {
     constexpr Quaternion a({1.0f, -3.0f, 7.0f}, 2.5f);
     constexpr Quaternion b(a);
     CORRADE_COMPARE(b, Quaternion({1.0f, -3.0f, 7.0f}, 2.5f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Quaternion>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Quaternion>::value);
 }
 
 void QuaternionTest::convert() {
diff --git a/src/Magnum/Math/Test/RangeTest.cpp b/src/Magnum/Math/Test/RangeTest.cpp
index a428f77d9..d1efadc7e 100644
--- a/src/Magnum/Math/Test/RangeTest.cpp
+++ b/src/Magnum/Math/Test/RangeTest.cpp
@@ -178,6 +178,10 @@ void RangeTest::construct() {
     CORRADE_COMPARE(a, (Range<1, Int>(3, 23)));
     CORRADE_COMPARE(b, (Range<2, Int>({3, 5}, {23, 78})));
     CORRADE_COMPARE(c, (Range<3, Int>({3, 5, -7}, {23, 78, 2})));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range1Di, Int, Int>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range2Di, Vector2i, Vector2i>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range3Di, Vector3i, Vector3i>::value));
 }
 
 void RangeTest::constructDefault() {
@@ -194,6 +198,13 @@ void RangeTest::constructDefault() {
     CORRADE_COMPARE(b2, Range2Di({0, 0}, {0, 0}));
     CORRADE_COMPARE(c1, Range3Di({0, 0, 0}, {0, 0, 0}));
     CORRADE_COMPARE(c2, Range3Di({0, 0, 0}, {0, 0, 0}));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Range1Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Range2Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Range3Di>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range1Di, ZeroInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range2Di, ZeroInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range3Di, ZeroInitT>::value));
 }
 
 void RangeTest::constructNoInit() {
@@ -208,6 +219,10 @@ void RangeTest::constructNoInit() {
     CORRADE_COMPARE(a, (Range1Di{3, 23}));
     CORRADE_COMPARE(b, (Range2Di{{3, 5}, {23, 78}}));
     CORRADE_COMPARE(c, (Range3Di{{3, 5, -7}, {23, 78, 2}}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range1Di, NoInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range2Di, NoInitT>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range3Di, NoInitT>::value));
 }
 
 void RangeTest::constructFromSize() {
@@ -235,6 +250,10 @@ void RangeTest::constructConversion() {
     CORRADE_VERIFY(!(std::is_convertible<Range1D, Range1Di>::value));
     CORRADE_VERIFY(!(std::is_convertible<Range2D, Range2Di>::value));
     CORRADE_VERIFY(!(std::is_convertible<Range3D, Range3Di>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range1D, Range1Di>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range2D, Range2Di>::value));
+    CORRADE_VERIFY((std::is_nothrow_constructible<Range3D, Range3Di>::value));
 }
 
 void RangeTest::constructCopy() {
@@ -249,6 +268,13 @@ void RangeTest::constructCopy() {
     CORRADE_COMPARE(d, Range1Di(3, 23));
     CORRADE_COMPARE(e, Range2Di({3, 5}, {23, 78}));
     CORRADE_COMPARE(f, Range3Di({3, 5, -7}, {23, 78, 2}));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Range1Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Range2Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Range3Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Range1Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Range2Di>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Range3Di>::value);
 }
 
 void RangeTest::convert() {
diff --git a/src/Magnum/Math/Test/RectangularMatrixTest.cpp b/src/Magnum/Math/Test/RectangularMatrixTest.cpp
index 964e8f961..7deb7e198 100644
--- a/src/Magnum/Math/Test/RectangularMatrixTest.cpp
+++ b/src/Magnum/Math/Test/RectangularMatrixTest.cpp
@@ -150,6 +150,8 @@ void RectangularMatrixTest::construct() {
     CORRADE_COMPARE(a, Matrix3x4(Vector4(1.0f,  2.0f,  3.0f,  4.0f),
                                  Vector4(5.0f,  6.0f,  7.0f,  8.0f),
                                  Vector4(9.0f, 10.0f, 11.0f, 12.0f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3x4, Vector4, Vector4, Vector4>::value));
 }
 
 void RectangularMatrixTest::constructDefault() {
@@ -163,6 +165,9 @@ void RectangularMatrixTest::constructDefault() {
                                  Vector3(0.0f, 0.0f, 0.0f),
                                  Vector3(0.0f, 0.0f, 0.0f),
                                  Vector3(0.0f, 0.0f, 0.0f)));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Matrix4x3>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix4x3, ZeroInitT>::value));
 }
 
 void RectangularMatrixTest::constructNoInit() {
@@ -173,6 +178,8 @@ void RectangularMatrixTest::constructNoInit() {
     CORRADE_COMPARE(a, Matrix3x4(Vector4(1.0f,  2.0f,  3.0f,  4.0f),
                                  Vector4(5.0f,  6.0f,  7.0f,  8.0f),
                                  Vector4(9.0f, 10.0f, 11.0f, 12.0f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3x4, NoInitT>::value));
 }
 
 void RectangularMatrixTest::constructConversion() {
@@ -185,6 +192,8 @@ void RectangularMatrixTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Matrix2x2, Matrix2x2i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Matrix2x2, Matrix2x2i>::value));
 }
 
 void RectangularMatrixTest::constructFromData() {
@@ -226,6 +235,9 @@ void RectangularMatrixTest::constructCopy() {
     CORRADE_COMPARE(b, Matrix3x4(Vector4(1.0f,  2.0f,  3.0f,  4.0f),
                                  Vector4(5.0f,  6.0f,  7.0f,  8.0f),
                                  Vector4(9.0f, 10.0f, 11.0f, 12.0f)));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Matrix3x4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Matrix3x4>::value);
 }
 
 void RectangularMatrixTest::convert() {
diff --git a/src/Magnum/Math/Test/UnitTest.cpp b/src/Magnum/Math/Test/UnitTest.cpp
index 256497e90..8234958df 100644
--- a/src/Magnum/Math/Test/UnitTest.cpp
+++ b/src/Magnum/Math/Test/UnitTest.cpp
@@ -74,17 +74,23 @@ void UnitTest::construct() {
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Sec>::value));
     CORRADE_VERIFY(!(std::is_convertible<Sec, Float>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Sec, Float>::value));
 }
 
 void UnitTest::constructDefault() {
     constexpr Sec b;
     CORRADE_COMPARE(b, Sec(0.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Sec>::value);
 }
 
 void UnitTest::constructNoInit() {
     Sec a{25.0f};
     new(&a) Sec{NoInit};
     CORRADE_COMPARE(a, Sec{25.0f});
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Sec, NoInitT>::value));
 }
 
 void UnitTest::constructConversion() {
@@ -94,6 +100,8 @@ void UnitTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Sec, Seci>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Sec, Seci>::value));
 }
 
 void UnitTest::compare() {
diff --git a/src/Magnum/Math/Test/Vector2Test.cpp b/src/Magnum/Math/Test/Vector2Test.cpp
index d066d8e21..55bee65e3 100644
--- a/src/Magnum/Math/Test/Vector2Test.cpp
+++ b/src/Magnum/Math/Test/Vector2Test.cpp
@@ -104,6 +104,8 @@ Vector2Test::Vector2Test() {
 void Vector2Test::construct() {
     constexpr Vector2 a = {1.5f, 2.5f};
     CORRADE_COMPARE(a, (Vector<2, Float>(1.5f, 2.5f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector2, Float, Float>::value));
 }
 
 void Vector2Test::constructDefault() {
@@ -111,12 +113,17 @@ void Vector2Test::constructDefault() {
     constexpr Vector2 b{ZeroInit};
     CORRADE_COMPARE(a, Vector2(0.0f, 0.0f));
     CORRADE_COMPARE(b, Vector2(0.0f, 0.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Vector2>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector2, ZeroInitT>::value));
 }
 
 void Vector2Test::constructNoInit() {
     Vector2 a{1.5f, 2.5f};
     new(&a) Vector2{NoInit};
     CORRADE_COMPARE(a, (Vector2{1.5f, 2.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector2, NoInitT>::value));
 }
 
 void Vector2Test::constructOneValue() {
@@ -125,6 +132,8 @@ void Vector2Test::constructOneValue() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Vector2>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector2, Float>::value));
 }
 
 void Vector2Test::constructConversion() {
@@ -134,6 +143,8 @@ void Vector2Test::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector2, Vector2i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector2, Vector2i>::value));
 }
 
 void Vector2Test::constructCopy() {
@@ -143,6 +154,9 @@ void Vector2Test::constructCopy() {
     #endif
     Vector2 b(a);
     CORRADE_COMPARE(b, Vector2(1.5f, 2.5f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Vector2>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Vector2>::value);
 }
 
 void Vector2Test::convert() {
diff --git a/src/Magnum/Math/Test/Vector3Test.cpp b/src/Magnum/Math/Test/Vector3Test.cpp
index 8d53b8f79..72c5be4c1 100644
--- a/src/Magnum/Math/Test/Vector3Test.cpp
+++ b/src/Magnum/Math/Test/Vector3Test.cpp
@@ -102,6 +102,8 @@ Vector3Test::Vector3Test() {
 void Vector3Test::construct() {
     constexpr Vector3 a = {1.0f, 2.5f, -3.0f};
     CORRADE_COMPARE(a, (Vector<3, Float>(1.0f, 2.5f, -3.0f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, Float, Float, Float>::value));
 }
 
 void Vector3Test::constructDefault() {
@@ -109,12 +111,17 @@ void Vector3Test::constructDefault() {
     constexpr Vector3 b{ZeroInit};
     CORRADE_COMPARE(a, Vector3(0.0f, 0.0f, 0.0f));
     CORRADE_COMPARE(b, Vector3(0.0f, 0.0f, 0.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Vector3>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, ZeroInitT>::value));
 }
 
 void Vector3Test::constructNoInit() {
     Vector3 a{1.0f, 2.5f, -3.0f};
     new(&a) Vector3{NoInit};
     CORRADE_COMPARE(a, (Vector3{1.0f, 2.5f, -3.0f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, NoInitT>::value));
 }
 
 void Vector3Test::constructOneValue() {
@@ -123,12 +130,16 @@ void Vector3Test::constructOneValue() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Vector3>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, Float>::value));
 }
 
 void Vector3Test::constructParts() {
     constexpr Vector2 a(1.0f, 2.0f);
     constexpr Vector3 b = {a, 3.0f};
     CORRADE_COMPARE(b, Vector3(1.0f, 2.0f, 3.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, Vector2, Float>::value));
 }
 
 void Vector3Test::constructConversion() {
@@ -138,6 +149,8 @@ void Vector3Test::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector3, Vector3i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector3, Vector3i>::value));
 }
 
 void Vector3Test::constructCopy() {
@@ -147,6 +160,9 @@ void Vector3Test::constructCopy() {
     #endif
     Vector3 b(a);
     CORRADE_COMPARE(b, Vector3(1.0f, 2.5f, -3.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Vector3>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Vector3>::value);
 }
 
 void Vector3Test::convert() {
diff --git a/src/Magnum/Math/Test/Vector4Test.cpp b/src/Magnum/Math/Test/Vector4Test.cpp
index 5eff2562a..2dcce57b8 100644
--- a/src/Magnum/Math/Test/Vector4Test.cpp
+++ b/src/Magnum/Math/Test/Vector4Test.cpp
@@ -101,6 +101,8 @@ Vector4Test::Vector4Test() {
 void Vector4Test::construct() {
     constexpr Vector4 a = {1.0f, -2.5f, 3.0f, 4.1f};
     CORRADE_COMPARE(a, (Vector<4, Float>(1.0f, -2.5f, 3.0f, 4.1f)));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Float, Float, Float, Float>::value));
 }
 
 void Vector4Test::constructPad() {
@@ -124,12 +126,17 @@ void Vector4Test::constructDefault() {
     constexpr Vector4 b{ZeroInit};
     CORRADE_COMPARE(a, Vector4(0.0f, 0.0f, 0.0f, 0.0f));
     CORRADE_COMPARE(b, Vector4(0.0f, 0.0f, 0.0f, 0.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Vector4>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, ZeroInitT>::value));
 }
 
 void Vector4Test::constructNoInit() {
     Vector4 a{1.0f, -2.5f, 3.0f, 4.1f};
     new(&a) Vector4{NoInit};
     CORRADE_COMPARE(a, (Vector4{1.0f, -2.5f, 3.0f, 4.1f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, NoInitT>::value));
 }
 
 void Vector4Test::constructOneValue() {
@@ -138,12 +145,16 @@ void Vector4Test::constructOneValue() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Vector4>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Float>::value));
 }
 
 void Vector4Test::constructParts() {
     constexpr Vector3 a(1.0f, 2.0f, 3.0f);
     constexpr Vector4 b = {a, 4.0f};
     CORRADE_COMPARE(b, Vector4(1.0f, 2.0f, 3.0f, 4.0f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Vector3, Float>::value));
 }
 
 void Vector4Test::constructConversion() {
@@ -153,6 +164,8 @@ void Vector4Test::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector4, Vector4i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Vector4i>::value));
 }
 
 void Vector4Test::constructCopy() {
@@ -162,6 +175,9 @@ void Vector4Test::constructCopy() {
     #endif
     Vector4 b(a);
     CORRADE_COMPARE(b, Vector4(1.0f, -2.5f, 3.0f, 4.1f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Vector4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Vector4>::value);
 }
 
 void Vector4Test::convert() {
diff --git a/src/Magnum/Math/Test/VectorTest.cpp b/src/Magnum/Math/Test/VectorTest.cpp
index c525242b9..5c754a3b6 100644
--- a/src/Magnum/Math/Test/VectorTest.cpp
+++ b/src/Magnum/Math/Test/VectorTest.cpp
@@ -174,6 +174,8 @@ VectorTest::VectorTest() {
 void VectorTest::construct() {
     constexpr Vector4 a = {1.0f, 2.0f, -3.0f, 4.5f};
     CORRADE_COMPARE(a, Vector4(1.0f, 2.0f, -3.0f, 4.5f));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Float, Float, Float, Float>::value));
 }
 
 void VectorTest::constructFromData() {
@@ -198,12 +200,17 @@ void VectorTest::constructDefault() {
     constexpr Vector4 b{ZeroInit};
     CORRADE_COMPARE(a, Vector4(0.0f, 0.0f, 0.0f, 0.0f));
     CORRADE_COMPARE(b, Vector4(0.0f, 0.0f, 0.0f, 0.0f));
+
+    CORRADE_VERIFY(std::is_nothrow_default_constructible<Vector4>::value);
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, ZeroInitT>::value));
 }
 
 void VectorTest::constructNoInit() {
     Vector4 a{1.0f, 2.0f, -3.0f, 4.5f};
     new(&a) Vector4{NoInit};
     CORRADE_COMPARE(a, (Vector4{1.0f, 2.0f, -3.0f, 4.5f}));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, NoInitT>::value));
 }
 
 void VectorTest::constructOneValue() {
@@ -213,6 +220,8 @@ void VectorTest::constructOneValue() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Float, Vector4>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Float>::value));
 }
 
 void VectorTest::constructOneComponent() {
@@ -221,6 +230,8 @@ void VectorTest::constructOneComponent() {
     /* Implicit constructor must work */
     constexpr Vector1 vec = 1.0f;
     CORRADE_COMPARE(vec, Vector1(1));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector1, Float>::value));
 }
 
 void VectorTest::constructConversion() {
@@ -231,12 +242,17 @@ void VectorTest::constructConversion() {
 
     /* Implicit conversion is not allowed */
     CORRADE_VERIFY(!(std::is_convertible<Vector4, Vector4i>::value));
+
+    CORRADE_VERIFY((std::is_nothrow_constructible<Vector4, Vector4i>::value));
 }
 
 void VectorTest::constructCopy() {
     constexpr Vector4 a(1.0f, 3.5f, 4.0f, -2.7f);
     constexpr Vector4 b(a);
     CORRADE_COMPARE(b, Vector4(1.0f, 3.5f, 4.0f, -2.7f));
+
+    CORRADE_VERIFY(std::is_nothrow_copy_constructible<Vector4>::value);
+    CORRADE_VERIFY(std::is_nothrow_copy_assignable<Vector4>::value);
 }
 
 void VectorTest::convert() {
diff --git a/src/Magnum/Math/Unit.h b/src/Magnum/Math/Unit.h
index 840df7f47..571b98e22 100644
--- a/src/Magnum/Math/Unit.h
+++ b/src/Magnum/Math/Unit.h
@@ -47,16 +47,19 @@ template<template<class> class Derived, class T> class Unit {
         typedef T Type;             /**< @brief Underlying data type */
 
         /** @brief Construct zero value */
-        constexpr /*implicit*/ Unit(ZeroInitT = ZeroInit): _value(T(0)) {}
+        constexpr /*implicit*/ Unit(ZeroInitT = ZeroInit) noexcept: _value(T(0)) {}
 
         /** @brief Construct without initializing the contents */
-        explicit Unit(NoInitT) {}
+        explicit Unit(NoInitT) noexcept {}
 
         /** @brief Explicit conversion from unitless type */
-        constexpr explicit Unit(T value): _value(value) {}
+        constexpr explicit Unit(T value) noexcept: _value(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> constexpr explicit Unit(Unit<Derived, U> value): _value(T(value._value)) {}
+        template<class U> constexpr explicit Unit(Unit<Derived, U> value) noexcept: _value(T(value._value)) {}
+
+        /** @brief Copy constructor */
+        constexpr /*implicit*/ Unit(const Unit<Derived, T>& other) noexcept = default;
 
         /** @brief Explicit conversion to underlying type */
         constexpr explicit operator T() const { return _value; }
diff --git a/src/Magnum/Math/Vector.h b/src/Magnum/Math/Vector.h
index 3755feba7..7f40e1d65 100644
--- a/src/Magnum/Math/Vector.h
+++ b/src/Magnum/Math/Vector.h
@@ -173,10 +173,10 @@ template<std::size_t size, class T> class Vector {
          *      \boldsymbol v = \boldsymbol 0
          * @f]
          */
-        constexpr /*implicit*/ Vector(ZeroInitT = ZeroInit): _data{} {}
+        constexpr /*implicit*/ Vector(ZeroInitT = ZeroInit) noexcept: _data{} {}
 
         /** @brief Construct vector without initializing the contents */
-        explicit Vector(NoInitT) {}
+        explicit Vector(NoInitT) noexcept {}
 
         /** @todo Creating Vector from combination of vector and scalar types */
 
@@ -186,16 +186,16 @@ template<std::size_t size, class T> class Vector {
          * @param next  Next values
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class ...U> constexpr /*implicit*/ Vector(T first, U... next);
+        template<class ...U> constexpr /*implicit*/ Vector(T first, U... next) noexcept;
         #else
-        template<class ...U, class V = typename std::enable_if<sizeof...(U)+1 == size, T>::type> constexpr /*implicit*/ Vector(T first, U... next): _data{first, next...} {}
+        template<class ...U, class V = typename std::enable_if<sizeof...(U)+1 == size, T>::type> constexpr /*implicit*/ Vector(T first, U... next) noexcept: _data{first, next...} {}
         #endif
 
         /** @brief Construct vector with one value for all fields */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        constexpr explicit Vector(T value);
+        constexpr explicit Vector(T value) noexcept;
         #else
-        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> constexpr explicit Vector(U value): Vector(typename Implementation::GenerateSequence<size>::Type(), value) {}
+        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> constexpr explicit Vector(U value) noexcept: Vector(typename Implementation::GenerateSequence<size>::Type(), value) {}
         #endif
 
         /**
@@ -209,13 +209,13 @@ template<std::size_t size, class T> class Vector {
          * // integral == {1, 2, -15, 7}
          * @endcode
          */
-        template<class U> constexpr explicit Vector(const Vector<size, U>& other): Vector(typename Implementation::GenerateSequence<size>::Type(), other) {}
+        template<class U> constexpr explicit Vector(const Vector<size, U>& other) noexcept: Vector(typename Implementation::GenerateSequence<size>::Type(), other) {}
 
         /** @brief Construct vector from external representation */
-        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> constexpr explicit Vector(const U& other): Vector(Implementation::VectorConverter<size, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> constexpr explicit Vector(const U& other) noexcept: Vector(Implementation::VectorConverter<size, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Vector(const Vector<size, T>&) = default;
+        constexpr /*implicit*/ Vector(const Vector<size, T>&) noexcept = default;
 
         /** @brief Convert vector to external representation */
         template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::to(std::declval<Vector<size, T>>()))> constexpr explicit operator U() const {
@@ -574,10 +574,10 @@ template<std::size_t size, class T> class Vector {
 
     private:
         /* Implementation for Vector<size, T>::Vector(const Vector<size, U>&) */
-        template<class U, std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, const Vector<size, U>& vector): _data{T(vector._data[sequence])...} {}
+        template<class U, std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, const Vector<size, U>& vector) noexcept: _data{T(vector._data[sequence])...} {}
 
         /* Implementation for Vector<size, T>::Vector(U) */
-        template<std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, T value): _data{Implementation::repeat(value, sequence)...} {}
+        template<std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, T value) noexcept: _data{Implementation::repeat(value, sequence)...} {}
 
         template<std::size_t otherSize, std::size_t ...sequence> constexpr static Vector<size, T> padInternal(Implementation::Sequence<sequence...>, const Vector<otherSize, T>& a, T value) {
             return {sequence < otherSize ? a[sequence] : value...};
diff --git a/src/Magnum/Math/Vector2.h b/src/Magnum/Math/Vector2.h
index 9bd0809ff..1c6d68e2d 100644
--- a/src/Magnum/Math/Vector2.h
+++ b/src/Magnum/Math/Vector2.h
@@ -112,7 +112,7 @@ template<class T> class Vector2: public Vector<2, T> {
         #endif
 
         /** @copydoc Vector::Vector(ZeroInitT) */
-        constexpr /*implicit*/ Vector2(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Vector2(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -121,7 +121,7 @@ template<class T> class Vector2: public Vector<2, T> {
             {}
 
         /** @copydoc Vector::Vector(NoInitT) */
-        explicit Vector2(NoInitT)
+        explicit Vector2(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -130,7 +130,7 @@ template<class T> class Vector2: public Vector<2, T> {
             {}
 
         /** @copydoc Vector::Vector(T) */
-        constexpr explicit Vector2(T value): Vector<2, T>(value) {}
+        constexpr explicit Vector2(T value) noexcept: Vector<2, T>(value) {}
 
         /**
          * @brief Constructor
@@ -139,10 +139,10 @@ template<class T> class Vector2: public Vector<2, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \end{pmatrix}
          * @f]
          */
-        constexpr /*implicit*/ Vector2(T x, T y): Vector<2, T>(x, y) {}
+        constexpr /*implicit*/ Vector2(T x, T y) noexcept: Vector<2, T>(x, y) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> constexpr explicit Vector2(const Vector<2, U>& other): Vector<2, T>(other) {}
+        template<class U> constexpr explicit Vector2(const Vector<2, U>& other) noexcept: Vector<2, T>(other) {}
 
         /** @brief Construct vector from external representation */
         template<class U, class V =
@@ -155,7 +155,7 @@ template<class T> class Vector2: public Vector<2, T> {
         constexpr explicit Vector2(const U& other): Vector<2, T>(Implementation::VectorConverter<2, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Vector2(const Vector<2, T>& other): Vector<2, T>(other) {}
+        constexpr /*implicit*/ Vector2(const Vector<2, T>& other) noexcept: Vector<2, T>(other) {}
 
         T& x() { return (*this)[0]; }                   /**< @brief X component */
         constexpr T x() const { return (*this)[0]; }    /**< @overload */
diff --git a/src/Magnum/Math/Vector3.h b/src/Magnum/Math/Vector3.h
index 4302c5322..0b14ea04e 100644
--- a/src/Magnum/Math/Vector3.h
+++ b/src/Magnum/Math/Vector3.h
@@ -134,7 +134,7 @@ template<class T> class Vector3: public Vector<3, T> {
         #endif
 
         /** @copydoc Vector::Vector(ZeroInitT) */
-        constexpr /*implicit*/ Vector3(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Vector3(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -143,7 +143,7 @@ template<class T> class Vector3: public Vector<3, T> {
             {}
 
         /** @copydoc Vector::Vector(NoInitT) */
-        explicit Vector3(NoInitT)
+        explicit Vector3(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -152,7 +152,7 @@ template<class T> class Vector3: public Vector<3, T> {
             {}
 
         /** @copydoc Vector::Vector(T) */
-        constexpr explicit Vector3(T value): Vector<3, T>(value) {}
+        constexpr explicit Vector3(T value) noexcept: Vector<3, T>(value) {}
 
         /**
          * @brief Constructor
@@ -161,7 +161,7 @@ template<class T> class Vector3: public Vector<3, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \\ z \end{pmatrix}
          * @f]
          */
-        constexpr /*implicit*/ Vector3(T x, T y, T z): Vector<3, T>(x, y, z) {}
+        constexpr /*implicit*/ Vector3(T x, T y, T z) noexcept: Vector<3, T>(x, y, z) {}
 
         /**
          * @brief Constructor
@@ -170,10 +170,10 @@ template<class T> class Vector3: public Vector<3, T> {
          *      \boldsymbol v = \begin{pmatrix} v_x \\ v_y \\ z \end{pmatrix}
          * @f]
          */
-        constexpr /*implicit*/ Vector3(const Vector2<T>& xy, T z): Vector<3, T>(xy[0], xy[1], z) {}
+        constexpr /*implicit*/ Vector3(const Vector2<T>& xy, T z) noexcept: Vector<3, T>(xy[0], xy[1], z) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> constexpr explicit Vector3(const Vector<3, U>& other): Vector<3, T>(other) {}
+        template<class U> constexpr explicit Vector3(const Vector<3, U>& other) noexcept: Vector<3, T>(other) {}
 
         /** @brief Construct vector from external representation */
         template<class U, class V =
@@ -186,7 +186,7 @@ template<class T> class Vector3: public Vector<3, T> {
         constexpr explicit Vector3(const U& other): Vector<3, T>(Implementation::VectorConverter<3, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Vector3(const Vector<3, T>& other): Vector<3, T>(other) {}
+        constexpr /*implicit*/ Vector3(const Vector<3, T>& other) noexcept: Vector<3, T>(other) {}
 
         /**
          * @brief X component
diff --git a/src/Magnum/Math/Vector4.h b/src/Magnum/Math/Vector4.h
index baf4c7ee0..1323b3ee4 100644
--- a/src/Magnum/Math/Vector4.h
+++ b/src/Magnum/Math/Vector4.h
@@ -60,7 +60,7 @@ template<class T> class Vector4: public Vector<4, T> {
         }
 
         /** @copydoc Vector::Vector(ZeroInitT) */
-        constexpr /*implicit*/ Vector4(ZeroInitT = ZeroInit)
+        constexpr /*implicit*/ Vector4(ZeroInitT = ZeroInit) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -69,7 +69,7 @@ template<class T> class Vector4: public Vector<4, T> {
             {}
 
         /** @copydoc Vector::Vector(NoInitT) */
-        explicit Vector4(NoInitT)
+        explicit Vector4(NoInitT) noexcept
             /** @todoc remove workaround when doxygen is sane */
             #ifndef DOXYGEN_GENERATING_OUTPUT
             /* MSVC 2015 can't handle {} here */
@@ -78,7 +78,7 @@ template<class T> class Vector4: public Vector<4, T> {
             {}
 
         /** @copydoc Vector::Vector(T) */
-        constexpr explicit Vector4(T value): Vector<4, T>(value) {}
+        constexpr explicit Vector4(T value) noexcept: Vector<4, T>(value) {}
 
         /**
          * @brief Constructor
@@ -87,7 +87,7 @@ template<class T> class Vector4: public Vector<4, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \\ z \\ w \end{pmatrix}
          * @f]
          */
-        constexpr /*implicit*/ Vector4(T x, T y, T z, T w): Vector<4, T>(x, y, z, w) {}
+        constexpr /*implicit*/ Vector4(T x, T y, T z, T w) noexcept: Vector<4, T>(x, y, z, w) {}
 
         /**
          * @brief Constructor
@@ -96,16 +96,16 @@ template<class T> class Vector4: public Vector<4, T> {
          *      \boldsymbol v = \begin{pmatrix} v_x \\ v_y \\ v_z \\ w \end{pmatrix}
          * @f]
          */
-        constexpr /*implicit*/ Vector4(const Vector3<T>& xyz, T w): Vector<4, T>(xyz[0], xyz[1], xyz[2], w) {}
+        constexpr /*implicit*/ Vector4(const Vector3<T>& xyz, T w) noexcept: Vector<4, T>(xyz[0], xyz[1], xyz[2], w) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> constexpr explicit Vector4(const Vector<4, U>& other): Vector<4, T>(other) {}
+        template<class U> constexpr explicit Vector4(const Vector<4, U>& other) noexcept: Vector<4, T>(other) {}
 
         /** @brief Construct vector from external representation */
         template<class U, class V = decltype(Implementation::VectorConverter<4, T, U>::from(std::declval<U>()))> constexpr explicit Vector4(const U& other): Vector<4, T>(Implementation::VectorConverter<4, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        constexpr Vector4(const Vector<4, T>& other): Vector<4, T>(other) {}
+        constexpr /*implicit*/ Vector4(const Vector<4, T>& other) noexcept: Vector<4, T>(other) {}
 
         /**
          * @brief X component