echelon.h File Reference

#include <iostream>
#include <linbox/field/field-traits.h>
#include <linbox/solutions/methods.h>
#include "./echelon/echelon-auto.h"
#include "./echelon/echelon-dense-elimination.h"

Namespaces
namespace	LinBox
	Namespace in which all linbox code resides.

Functions
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	rowEchelon (Matrix &E, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the row echelon form of a matrix, not reduced.
template<class Matrix, class EchelonMethod>
size_t	rowEchelon (Matrix &E, const Matrix &A, const EchelonMethod &m)
	rowEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	rowEchelon (Matrix &E, const Matrix &A)
	rowEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	rowEchelon (Matrix &E, Matrix &T, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the row echelon form of a matrix, not reduced, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	rowEchelon (Matrix &E, Matrix &T, const Matrix &A, const EchelonMethod &m)
	rowEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	rowEchelon (Matrix &E, Matrix &T, const Matrix &A)
	rowEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	rowEchelonize (Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Replace the input matrix by its row echelon form, not reduced.
template<class Matrix, class EchelonMethod>
size_t	rowEchelonize (Matrix &A, const EchelonMethod &m)
	rowEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	rowEchelonize (Matrix &A)
	rowEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	rowEchelonize (Matrix &A, Matrix &T, const CategoryTag &tag, const EchelonMethod &m)
	Compute the row echelon form of a matrix, not reduced, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	rowEchelonize (Matrix &A, Matrix &T, const EchelonMethod &m)
	rowEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	rowEchelonize (Matrix &A, Matrix &T)
	rowEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedRowEchelon (Matrix &E, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced row echelon form of a matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedRowEchelon (Matrix &E, const Matrix &A, const EchelonMethod &m)
	reducedRowEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	reducedRowEchelon (Matrix &E, const Matrix &A)
	reducedRowEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedRowEchelon (Matrix &E, Matrix &T, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced row echelon form of a matrix, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedRowEchelon (Matrix &E, Matrix &T, const Matrix &A, const EchelonMethod &m)
	reducedRowEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	reducedRowEchelon (Matrix &E, Matrix &T, const Matrix &A)
	reducedRowEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedRowEchelonize (Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Replace the input matrix by its reduced row echelon form.
template<class Matrix, class EchelonMethod>
size_t	reducedRowEchelonize (Matrix &A, const EchelonMethod &m)
	reducedRowEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	reducedRowEchelonize (Matrix &A)
	reducedRowEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedRowEchelonize (Matrix &A, Matrix &T, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced row echelon form of a matrix, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedRowEchelonize (Matrix &A, Matrix &T, const EchelonMethod &m)
	reducedRowEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	reducedRowEchelonize (Matrix &A, Matrix &T)
	reducedRowEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	colEchelon (Matrix &E, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the column echelon form of a matrix, not reduced.
template<class Matrix, class EchelonMethod>
size_t	colEchelon (Matrix &E, const Matrix &A, const EchelonMethod &m)
	colEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	colEchelon (Matrix &E, const Matrix &A)
	colEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	colEchelon (Matrix &E, Matrix &T, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the column echelon form of a matrix, not reduced, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	colEchelon (Matrix &E, Matrix &T, const Matrix &A, const EchelonMethod &m)
	colEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	colEchelon (Matrix &E, Matrix &T, const Matrix &A)
	colEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	colEchelonize (Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Replace the input matrix by its column echelon form, not reduced.
template<class Matrix, class EchelonMethod>
size_t	colEchelonize (Matrix &A, const EchelonMethod &m)
	colEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	colEchelonize (Matrix &A)
	colEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	colEchelonize (Matrix &A, Matrix &T, const CategoryTag &tag, const EchelonMethod &m)
	Compute the column echelon form of a matrix, not reduced, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	colEchelonize (Matrix &A, Matrix &T, const EchelonMethod &m)
	colEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	colEchelonize (Matrix &A, Matrix &T)
	colEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedColEchelon (Matrix &E, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced column echelon form of a matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedColEchelon (Matrix &E, const Matrix &A, const EchelonMethod &m)
	reducedColEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	reducedColEchelon (Matrix &E, const Matrix &A)
	reducedColEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedColEchelon (Matrix &E, Matrix &T, const Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced column echelon form of a matrix, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedColEchelon (Matrix &E, Matrix &T, const Matrix &A, const EchelonMethod &m)
	reducedColEchelon dispatcher for automated category tag.
template<class Matrix>
size_t	reducedColEchelon (Matrix &E, Matrix &T, const Matrix &A)
	reducedColEchelon dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedColEchelonize (Matrix &A, const CategoryTag &tag, const EchelonMethod &m)
	Replace the input matrix by its reduced column echelon form.
template<class Matrix, class EchelonMethod>
size_t	reducedColEchelonize (Matrix &A, const EchelonMethod &m)
	reducedColEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	reducedColEchelonize (Matrix &A)
	reducedColEchelonize dispatcher for automated method.
template<class Matrix, class CategoryTag, class EchelonMethod>
size_t	reducedColEchelonize (Matrix &A, Matrix &T, const CategoryTag &tag, const EchelonMethod &m)
	Compute the reduced column echelon form of a matrix, and the related transformation matrix.
template<class Matrix, class EchelonMethod>
size_t	reducedColEchelonize (Matrix &A, Matrix &T, const EchelonMethod &m)
	reducedColEchelonize dispatcher for automated category tag.
template<class Matrix>
size_t	reducedColEchelonize (Matrix &A, Matrix &T)
	reducedColEchelonize dispatcher for automated method.