num::LUResult Struct Reference

Result of an LU factorization with partial pivoting (PA = LU) More...

#include <lu.hpp>

Public Attributes
Matrix	LU
std::vector< idx >	piv
bool	singular = false

Detailed Description

Result of an LU factorization with partial pivoting (PA = LU)

L and U are stored packed in a single matrix:

• U occupies the upper triangle (including the diagonal)
• L occupies the strict lower triangle (diagonal of L is implicitly 1)

piv[k] = the row index that was swapped into position k at step k. singular is set if any diagonal of U is below the tolerance 1e-14.

Definition at line 19 of file lu.hpp.

Member Data Documentation

LU

Matrix num::LUResult::LU

Definition at line 20 of file lu.hpp.

Referenced by num::backends::lapack::lu(), num::backends::seq::lu(), num::lu_det(), num::lu_inv(), and num::lu_solve().

piv

std::vector<idx> num::LUResult::piv

Definition at line 21 of file lu.hpp.

Referenced by num::backends::lapack::lu(), num::backends::seq::lu(), num::lu_det(), and num::lu_solve().

singular

bool num::LUResult::singular = false

Definition at line 22 of file lu.hpp.

Referenced by num::backends::lapack::lu(), num::backends::seq::lu(), and num::rayleigh_iteration().

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

• /home/runner/work/numerics/numerics/include/linalg/factorization/lu.hpp