dmat-lu-inplace.hpp File Reference

DMatLUinPlace<RT> — the LU worker that DMatLinAlg<RT> delegates to, with RR / CC / GF specialisations. More...

#include "dmat.hpp"
#include "mat-elem-ops.hpp"
#include "mat-util.hpp"
#include <M2/gc-include.h>
#include <flint/fq_nmod_mat.h>
#include <flint/perm.h>

Go to the source code of this file.

Classes
class	LUUtil< RT >
class	DMatLUinPlace< RT >

Functions
std::vector< double >	make_lapack_array (const DMatRR &mat)
std::vector< double >	make_lapack_array (const DMatCC &mat)
void	fill_from_lapack_array (const std::vector< double > &doubles, DMatRR &mat)
void	fill_from_lapack_array (const std::vector< double > &doubles, DMatCC &mat)

Detailed Description

DMatLUinPlace<RT> — the LU worker that DMatLinAlg<RT> delegates to, with RR / CC / GF specialisations.

Note

AI-generated documentation. Verify against the source before relying on it.

Declares DMatLUinPlace<RingType>, the worker class DMatLinAlg<RingType>::mLUObject is built from. Its constructor copies the caller's matrix into the private mLU field (FLINT's "in-place" routines and the LAPACK routines below mutate that internal copy, not the user's original), runs computeLU() lazily on first access via LUinPlace(), and exposes permutation(), pivotColumns(), and signOfPermutation(). The generic computeLU() body in this file implements partial-pivot LU using MatElementaryOps<Mat>::interchange_rows and findPivot (with absolute-value-pivot findPivot specialisations for ARingRRR / ARingCCC).

Four computeLU specialisations route to native back ends: ARingGFFlintBig via fq_nmod_mat_lu, ARingGFFlint via fq_zech_mat_lu (<flint/perm.h>::_perm_parity reads off the sign), and ARingRR / ARingCC via LAPACK's dgetrf_ / zgetrf_ — marshalled in and out by the free helpers make_lapack_array / fill_from_lapack_array declared at the top of the header. The shared LUUtil<RT> template carries setUpperLower (splits an in-place LU back into separate L / U) and computePivotColumns.

See also

dmat-lu.hpp

dmat.hpp

aring-gf-flint.hpp

aring-gf-flint-big.hpp

Definition in file dmat-lu-inplace.hpp.