det.hpp

#include "../basic_array.hpp"
#include "../basic_functions.hpp"
#include "../concepts.hpp"
#include "../exceptions.hpp"
#include "../lapack/getrf.hpp"
#include "../matrix_functions.hpp"
#include "../mem/address_space.hpp"
#include "../mem/policies.hpp"
#include "../traits.hpp"

Detailed Description

Provides functions to compute the determinant of a matrix.

Definition in file det.hpp.

Go to the source code of this file.

Functions
template<typename... A> requires (nda::clef::is_any_lazy<A...>)
auto	nda::clef::det (A &&...__a)
	Lazy version of nda::linalg::det.
template<Matrix M> requires (get_algebra<M> == 'M' and nda::mem::have_host_compatible_addr_space<M> and is_blas_lapack_v<get_value_t<M>>)
auto	nda::clef::det (M const &m)
	Compute the determinant of an \( n \times n \) matrix \( \mathbf{M} \).
template<Matrix M> requires (get_algebra<M> == 'M' and nda::mem::have_host_compatible_addr_space<M> and is_blas_lapack_v<get_value_t<M>>)
auto	nda::linalg::det (M const &m)
	Compute the determinant of an \( n \times n \) matrix \( \mathbf{M} \).
template<Matrix M> requires (get_algebra<M> == 'M' and nda::mem::have_host_compatible_addr_space<M> and is_blas_lapack_v<get_value_t<M>>)
auto	nda::linalg::det_in_place (M &&m)
	Compute the determinant of an \( n \times n \) matrix \( \mathbf{M} \).

Function Documentation

det()

template<Matrix M>
requires (get_algebra<M> == 'M' and nda::mem::have_host_compatible_addr_space<M> and is_blas_lapack_v<get_value_t<M>>)

auto nda::linalg::det

(

M const &

m

)

Compute the determinant of an \( n \times n \) matrix \( \mathbf{M} \).

The given matrix/view is not modified. It first makes a copy of the matrix/view and then calls nda::linalg::det_in_place.

Template Parameters

M	nda::MemoryMatrix type.

Parameters

m	Input matrix. The matrix \( \mathbf{M} \).

Returns

The determinant \( \det(\mathbf{M}) \).

Definition at line 95 of file det.hpp.