/Users/mourrain/Devel/mmx/algebramix/include/algebramix/matrix_bareiss.hpp File Reference

#include <algebramix/matrix.hpp>

Go to the source code of this file.

Namespaces

• namespace mmx

Defines

• #define TMPL   template<typename Scalar, typename V>
• #define Matrix   matrix<Scalar,V>
• #define nbrow   rows
• #define nbcol   cols

Functions

• template<typename Scalar , typename V > Scalar bareiss_pivoting (matrix< Scalar, V > &A, unsigned &r)
• template<typename Scalar , typename V > Scalar bareiss_pivoting (matrix< Scalar, V > &A)
• template<typename Scalar , typename V > void bareiss_extended_pivoting (matrix< Scalar, V > &A, matrix< Scalar, V > &P, unsigned &r)
• template<typename Scalar , typename V > Scalar bareiss_extended_pivoting (matrix< Scalar, V > &A, matrix< Scalar, V > &P)
• template<typename Scalar , typename V > unsigned bareiss_rank (const matrix< Scalar, V > &m)
• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_triangulate (const matrix< Scalar, V > &m)

  Triangulate the matrix @ using Bareiss pivoting.
  

• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_cokernel (const matrix< Scalar, V > &m)

  Compute the cokernel of the matrix @ using Bareiss pivoting.
  

• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_kernel (const matrix< Scalar, V > &m)
• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_image (const matrix< Scalar, V > &m)
• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_coimage (const matrix< Scalar, V > &m)
• template<typename Scalar , typename V > Scalar bareiss_det (const matrix< Scalar, V > &m)
• template<typename Scalar , typename V > matrix< Scalar, V > bareiss_krylov (const matrix< Scalar, V > &m, const matrix< Scalar, V > &v)

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Detailed Description

Definition in file matrix_bareiss.hpp.

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Define Documentation

#define Matrix   matrix<Scalar,V>

Definition at line 20 of file matrix_bareiss.hpp.

Referenced by mmx::bareiss_coimage(), mmx::bareiss_cokernel(), mmx::bareiss_det(), mmx::bareiss_image(), mmx::bareiss_kernel(), mmx::bareiss_krylov(), mmx::bareiss_rank(), and mmx::bareiss_triangulate().

#define nbcol   cols

Definition at line 22 of file matrix_bareiss.hpp.

#define nbrow   rows

Definition at line 21 of file matrix_bareiss.hpp.

#define TMPL   template<typename Scalar, typename V>

Definition at line 19 of file matrix_bareiss.hpp.