dense-nullspace.inl File Reference

#include "linbox/matrix/dense-matrix.h"
#include "fflas-ffpack/ffpack/ffpack.h"
#include "fflas-ffpack/fflas/fflas.h"
#include <fflas-ffpack/utils/Matio.h>
#include <iostream>
#include <cassert>

Namespaces
namespace	LinBox
	Namespace in which all linbox code resides.
namespace	LinBox::Protected
	This is the namespace all LinBox internal code is in.

Functions
template<class Field>
void	Zero (const Field &F, typename Field::Element *Z, const size_t ldZ, const size_t lig1, const size_t col1, const size_t lig2, const size_t col2)
template<class Field>
void	Identity (const Field &F, typename Field::Element *Id, const size_t ldI, const size_t lig1, const size_t col1, const size_t lig2, const size_t col2)
	Creates identity matrix in F of size dim1 x dim2.
template<class Field>
Field::Element *	RightNullspaceDirect (const Field &F, typename Field::Element *A, const size_t &M, const size_t &N, const size_t &lda, size_t &ker_dim)
	The right or left nullspace (kernel or cokernel) of a matrix A We use the LU decomposition.
template<class Field>
Field::Element *	RightNullspaceIndirect (const Field &F, typename Field::Element *A, const size_t &M, const size_t &N, const size_t &lda, size_t &ker_dim)
template<class Field>
Field::Element *	LeftNullspaceIndirect (const Field &F, typename Field::Element *A, const size_t &M, const size_t &N, const size_t &lda, size_t &coker_dim)
template<class Field>
Field::Element *	LeftNullspaceDirect (const Field &F, typename Field::Element *A, const size_t &M, const size_t &N, const size_t &lda, size_t &coker_dim)
template<class Field>
size_t	NullSpaceBasisIn (const Field &F, const Tag::Side Side, const size_t &m, const size_t &n, typename Field::Element *A, const size_t &lda, typename Field::Element *&Ker, size_t &ldk, size_t &kerdim)
	Computes the kernel of a dense matrix using LQUP.
template<class DenseMat>
size_t &	NullSpaceBasisIn (const Tag::Side Side, BlasSubmatrix< DenseMat > &A, BlasMatrix< typename DenseMat::Field > &Ker, size_t &kerdim)
template<class Field>
size_t &	NullSpaceBasisIn (const Tag::Side Side, BlasMatrix< Field > &A, BlasMatrix< Field > &Ker, size_t &kerdim)
	Nullspace of a dense matrix on a finite field.
template<class Field>
size_t &	NullSpaceBasis (const Tag::Side Side, const BlasMatrix< Field > &A, BlasMatrix< Field > &Ker, size_t &kerdim)
	Nullspace of a dense matrix on a finite field.
template<class DenseMat>
size_t &	NullSpaceBasis (const Tag::Side Side, const BlasSubmatrix< DenseMat > &A, BlasMatrix< typename DenseMat::Field > &Ker, size_t &kerdim)