ezp::pgesv< DT, IT, ODER > Class Template Reference

Inheritance diagram for ezp::pgesv< DT, IT, ODER >:

Collaboration diagram for ezp::pgesv< DT, IT, ODER >:

Public Member Functions
	pgesv (const IT rows, const IT cols)
auto	det (full_mat< DT, IT > &&A)
	Computes the determinant of a matrix. More...
IT	solve (full_mat< DT, IT > &&A, full_mat< DT, IT > &&B) override
IT	solve (full_mat< DT, IT > &&B) override
template<full_container_t AT, full_container_t BT>
IT	solve (AT &&A, BT &&B)
template<full_container_t AT>
IT	solve (AT &&A, full_mat< DT, IT > &&B)
template<full_container_t BT>
IT	solve (full_mat< DT, IT > &&A, BT &&B)
Public Member Functions inherited from ezp::detail::full_solver< DT, IT, 'R' >
	full_solver (const IT rows, const IT cols)
IT	solve (AT &&A, BT &&B)
IT	solve (AT &&A, full_mat< DT, IT > &&B)
IT	solve (full_mat< DT, IT > &&A, BT &&B)
Public Member Functions inherited from ezp::detail::abstract_solver< DT, IT, full_mat< DT, IT > >
IT	solve (CT &&B)
virtual IT	solve (WT &&, full_mat< DT, IT > &&)=0

Additional Inherited Members
Protected Member Functions inherited from ezp::detail::full_solver< DT, IT, 'R' >
auto	init_storage (const IT n)
auto	gather_pivot ()
Protected Member Functions inherited from ezp::detail::abstract_solver< DT, IT, full_mat< DT, IT > >
auto	to_full (CT &&custom)
Protected Attributes inherited from ezp::detail::full_solver< DT, IT, 'R' >
full_system	loc
blacs_context< IT >	ctx
Static Protected Attributes inherited from ezp::detail::abstract_solver< DT, IT, full_mat< DT, IT > >
static constexpr IT	ZERO
static constexpr IT	ONE

Member Function Documentation

det()

template<data_t DT, index_t IT, char ODER = 'R'>

auto ezp::pgesv< DT, IT, ODER >::det ( full_mat< DT, IT > &&  A )

inline

Computes the determinant of a matrix.

This function calculates the determinant of a given matrix A using LU decomposition. The matrix is gathered from distributed memory into a global matrix on the root process. The determinant is computed by multiplying the diagonal elements of the LU-decomposed matrix and adjusting the sign based on the number of row swaps performed during the decomposition.

Template Parameters

DT	The data type of the matrix elements.
IT	The integer type used for indexing and pivoting.

Parameters

A	A rvalue reference to a full_mat object representing the matrix.

Returns

The determinant of the matrix as a value of type DT.

Note

If the context (ctx) is invalid, the function returns 0 as the determinant by default.

This function assumes that the matrix A is square.

The computation is performed on the root process (rank 0), and the result is returned to all processes.

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The documentation for this class was generated from the following file:

• ezp/pgesv.hpp