linalg

Basic linear algebra algorithms. More...

Concepts
concept	etl::linalg::in_vector
concept	etl::linalg::out_vector
concept	etl::linalg::inout_vector
concept	etl::linalg::in_matrix
concept	etl::linalg::out_matrix
concept	etl::linalg::inout_matrix
concept	etl::linalg::in_object
concept	etl::linalg::out_object
concept	etl::linalg::inout_object

Classes
struct	accessor_conjugate< Accessor >
struct	accessor_scaled< ScalingFactor, Accessor >
struct	column_major_t
struct	explicit_diagonal_t
struct	implicit_unit_diagonal_t
struct	layout_transpose< Layout >
struct	lower_triangle_t
struct	row_major_t
struct	upper_triangle_t

Functions
template<in_object InObj1, in_object InObj2, out_object OutObj> requires (InObj1::rank() == OutObj::rank() and InObj2::rank() == OutObj::rank())
constexpr auto	add (InObj1 x, InObj2 y, OutObj z) -> void
template<typename ElementType, typename Extents, typename Layout, typename Accessor>
constexpr auto	conjugated (mdspan< ElementType, Extents, Layout, Accessor > a)
template<typename ElementType, typename Extents, typename Layout, typename NestedAccessor>
constexpr auto	conjugated (mdspan< ElementType, Extents, Layout, accessor_conjugate< NestedAccessor > > a)
template<in_object InObj, out_object OutObj> requires (InObj::rank() == OutObj::rank())
constexpr auto	copy (InObj x, OutObj y) -> void
template<in_vector InVec>
constexpr auto	idx_abs_max (InVec v) -> typename InVec::size_type
template<in_matrix InMat>
constexpr auto	matrix_frob_norm (InMat a)
template<in_matrix InMat, typename Scalar>
constexpr auto	matrix_frob_norm (InMat a, Scalar init) -> Scalar
template<in_matrix InMat, in_vector InVec, out_vector OutVec>
constexpr auto	matrix_vector_product (InMat a, InVec x, OutVec y) noexcept -> void
template<typename Scalar, inout_object InOutObj>
constexpr auto	scale (Scalar alpha, InOutObj x) -> void
template<typename ScalingFactor, typename ElementType, typename Extents, typename Layout, typename Accessor>
constexpr auto	scaled (ScalingFactor alpha, mdspan< ElementType, Extents, Layout, Accessor > x)
template<inout_object InOutObj1, inout_object InOutObj2> requires (InOutObj1::rank() == InOutObj1::rank())
constexpr auto	swap_elements (InOutObj1 x, InOutObj2 y) -> void
template<in_vector InVec>
constexpr auto	vector_abs_sum (InVec v) noexcept -> typename InVec::value_type
template<in_vector InVec, typename Scalar>
constexpr auto	vector_abs_sum (InVec v, Scalar init) noexcept -> Scalar
template<in_vector InVec>
constexpr auto	vector_two_norm (InVec v) noexcept -> typename InVec::value_type
template<in_vector InVec, typename Scalar>
constexpr auto	vector_two_norm (InVec v, Scalar init) noexcept -> Scalar

Detailed Description

Basic linear algebra algorithms.

#include <etl/linalg.hpp>

Function Documentation

add()

template<in_object InObj1, in_object InObj2, out_object OutObj>
requires (InObj1::rank() == OutObj::rank() and InObj2::rank() == OutObj::rank())

auto add ( InObj1 x, InObj2 y, OutObj z ) -> void

constexpr

conjugated() [1/2]

template<typename ElementType, typename Extents, typename Layout, typename Accessor>

auto conjugated ( mdspan< ElementType, Extents, Layout, Accessor > a )

nodiscardconstexpr

conjugated() [2/2]

template<typename ElementType, typename Extents, typename Layout, typename NestedAccessor>

auto conjugated ( mdspan< ElementType, Extents, Layout, accessor_conjugate< NestedAccessor > > a )

nodiscardconstexpr

copy()

template<in_object InObj, out_object OutObj>
requires (InObj::rank() == OutObj::rank())

auto copy ( InObj x, OutObj y ) -> void

constexpr

idx_abs_max()

template<in_vector InVec>

auto idx_abs_max ( InVec v ) -> typename InVec::size_type

constexpr

matrix_frob_norm() [1/2]

template<in_matrix InMat>

auto matrix_frob_norm ( InMat a )

nodiscardconstexpr

matrix_frob_norm() [2/2]

template<in_matrix InMat, typename Scalar>

auto matrix_frob_norm ( InMat a, Scalar init ) -> Scalar

nodiscardconstexpr

matrix_vector_product()

template<in_matrix InMat, in_vector InVec, out_vector OutVec>

auto matrix_vector_product ( InMat a, InVec x, OutVec y ) -> void

constexprnoexcept

scale()

template<typename Scalar, inout_object InOutObj>

auto scale ( Scalar alpha, InOutObj x ) -> void

constexpr

scaled()

template<typename ScalingFactor, typename ElementType, typename Extents, typename Layout, typename Accessor>

auto scaled ( ScalingFactor alpha, mdspan< ElementType, Extents, Layout, Accessor > x )

nodiscardconstexpr

swap_elements()

template<inout_object InOutObj1, inout_object InOutObj2>
requires (InOutObj1::rank() == InOutObj1::rank())

auto swap_elements ( InOutObj1 x, InOutObj2 y ) -> void

constexpr

vector_abs_sum() [1/2]

template<in_vector InVec>

auto vector_abs_sum ( InVec v ) -> typename InVec::value_type

constexprnoexcept

vector_abs_sum() [2/2]

template<in_vector InVec, typename Scalar>

auto vector_abs_sum ( InVec v, Scalar init ) -> Scalar

constexprnoexcept

vector_two_norm() [1/2]

template<in_vector InVec>

auto vector_two_norm ( InVec v ) -> typename InVec::value_type

constexprnoexcept

vector_two_norm() [2/2]

template<in_vector InVec, typename Scalar>

auto vector_two_norm ( InVec v, Scalar init ) -> Scalar

constexprnoexcept