GaussSeidel.h File Reference

#include "types.h"
#include "mangling.h"

Include dependency graph for GaussSeidel.h:

Go to the source code of this file.

Functions
void	API_cgegssv (fortran_int *N, fortran_complex *A, fortran_complex *B, fortran_complex *X, fortran_int *MAX_ITER, fortran_real *TOL, fortran_real *OMEGA, fortran_int *STATUS)
void	API_dgegssv (fortran_int *N, fortran_double *A, fortran_double *B, fortran_double *X, fortran_int *MAX_ITER, fortran_double *TOL, fortran_double *OMEGA, fortran_int *STATUS)
void	API_sgegssv (fortran_int *N, fortran_real *A, fortran_real *B, fortran_real *X, fortran_int *MAX_ITER, fortran_real *TOL, fortran_real *OMEGA, fortran_int *STATUS)
void	API_zgegssv (fortran_int *N, fortran_double_complex *A, fortran_double_complex *B, fortran_double_complex *X, fortran_int *MAX_ITER, fortran_double *TOL, fortran_double *OMEGA, fortran_int *STATUS)
void	gaussSeidel (fortran_int *N, fortran_real *A, fortran_real *B, fortran_real *X, fortran_int *MAX_ITER, fortran_real *TOL, fortran_int *STATUS, fortran_real OMEGA=1.0)
	Gauss-Seidel iterative solver for A * X = B.
void	gaussSeidel (fortran_int *N, fortran_double *A, fortran_double *B, fortran_double *X, fortran_int *MAX_ITER, fortran_double *TOL, fortran_int *STATUS, fortran_double OMEGA=1.0)
	Gauss-Seidel iterative solver (double-precision).
void	gaussSeidel (fortran_int *N, fortran_complex *A, fortran_complex *B, fortran_complex *X, fortran_int *MAX_ITER, fortran_real *TOL, fortran_int *STATUS, fortran_real OMEGA=1.0)
	Gauss-Seidel iterative solver (single-precision complex).
void	gaussSeidel (fortran_int *N, fortran_double_complex *A, fortran_double_complex *B, fortran_double_complex *X, fortran_int *MAX_ITER, fortran_double *TOL, fortran_int *STATUS, fortran_double OMEGA=1.0)
	Gauss-Seidel iterative solver (double-precision complex).

Function Documentation

API_cgegssv()

void API_cgegssv	(	fortran_int *	N,
		fortran_complex *	A,
		fortran_complex *	B,
		fortran_complex *	X,
		fortran_int *	MAX_ITER,
		fortran_real *	TOL,
		fortran_real *	OMEGA,
		fortran_int *	STATUS
	)

API_dgegssv()

void API_dgegssv	(	fortran_int *	N,
		fortran_double *	A,
		fortran_double *	B,
		fortran_double *	X,
		fortran_int *	MAX_ITER,
		fortran_double *	TOL,
		fortran_double *	OMEGA,
		fortran_int *	STATUS
	)

API_sgegssv()

void API_sgegssv	(	fortran_int *	N,
		fortran_real *	A,
		fortran_real *	B,
		fortran_real *	X,
		fortran_int *	MAX_ITER,
		fortran_real *	TOL,
		fortran_real *	OMEGA,
		fortran_int *	STATUS
	)

API_zgegssv()

void API_zgegssv	(	fortran_int *	N,
		fortran_double_complex *	A,
		fortran_double_complex *	B,
		fortran_double_complex *	X,
		fortran_int *	MAX_ITER,
		fortran_double *	TOL,
		fortran_double *	OMEGA,
		fortran_int *	STATUS
	)

gaussSeidel() [1/4]

void gaussSeidel	(	fortran_int *	N,
		fortran_complex *	A,
		fortran_complex *	B,
		fortran_complex *	X,
		fortran_int *	MAX_ITER,
		fortran_real *	TOL,
		fortran_int *	STATUS,
		fortran_real	OMEGA = 1.0
	)

Gauss-Seidel iterative solver (single-precision complex).

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Parameters

[in]	N	Pointer to the size of the matrix (N x N).
[in]	A	Flat row-major input matrix of size N*N.
[in]	B	Right-hand side vector of size N.
[in,out]	X	On input: initial guess. On output: solution vector.
[in]	MAX_ITER	Pointer to the maximum number of iterations.
[in]	TOL	Pointer to the convergence tolerance (REAL).
[out]	STATUS	Pointer to the return code.
[in]	OMEGA	Relaxation factor (default = 1.0).

Definition at line 121 of file GaussSeidel.h.

gaussSeidel() [2/4]

void gaussSeidel	(	fortran_int *	N,
		fortran_double *	A,
		fortran_double *	B,
		fortran_double *	X,
		fortran_int *	MAX_ITER,
		fortran_double *	TOL,
		fortran_int *	STATUS,
		fortran_double	OMEGA = 1.0
	)

Gauss-Seidel iterative solver (double-precision).

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Parameters

[in]	N	Pointer to the size of the matrix (N x N).
[in]	A	Flat row-major input matrix of size N*N.
[in]	B	Right-hand side vector of size N.
[in,out]	X	On input: initial guess. On output: solution vector.
[in]	MAX_ITER	Pointer to the maximum number of iterations.
[in]	TOL	Pointer to the convergence tolerance.
[out]	STATUS	Pointer to the return code.
[in]	OMEGA	Relaxation factor (default = 1.0).

Definition at line 103 of file GaussSeidel.h.

gaussSeidel() [3/4]

void gaussSeidel	(	fortran_int *	N,
		fortran_double_complex *	A,
		fortran_double_complex *	B,
		fortran_double_complex *	X,
		fortran_int *	MAX_ITER,
		fortran_double *	TOL,
		fortran_int *	STATUS,
		fortran_double	OMEGA = 1.0
	)

Gauss-Seidel iterative solver (double-precision complex).

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Parameters

[in]	N	Pointer to the size of the matrix (N x N).
[in]	A	Flat row-major input matrix of size N*N.
[in]	B	Right-hand side vector of size N.
[in,out]	X	On input: initial guess. On output: solution vector.
[in]	MAX_ITER	Pointer to the maximum number of iterations.
[in]	TOL	Pointer to the convergence tolerance (DOUBLE).
[out]	STATUS	Pointer to the return code.
[in]	OMEGA	Relaxation factor (default = 1.0).

Definition at line 139 of file GaussSeidel.h.

gaussSeidel() [4/4]

void gaussSeidel	(	fortran_int *	N,
		fortran_real *	A,
		fortran_real *	B,
		fortran_real *	X,
		fortran_int *	MAX_ITER,
		fortran_real *	TOL,
		fortran_int *	STATUS,
		fortran_real	OMEGA = 1.0
	)

Gauss-Seidel iterative solver for A * X = B.

Solves the linear system A * X = B using the iterative Gauss-Seidel method with optional successive over-relaxation (SOR). A is a square N x N matrix in flat row-major array format.

On input, X contains the initial guess. On output, X contains the computed solution. Convergence is based on maximum absolute difference per iteration.

Parameters

[in]	N	Pointer to the size of the matrix (N x N).
[in]	A	Flat row-major input matrix of size N*N.
[in]	B	Right-hand side vector of size N.
[in,out]	X	On input: initial guess. On output: solution vector.
[in]	MAX_ITER	Pointer to the maximum number of iterations.
[in]	TOL	Pointer to the convergence tolerance.
[out]	STATUS	Pointer to the return code: 0: success (converged) > 0: did not converge within MAX_ITER iterations < 0: zero diagonal element detected at row |STATUS|
[in]	OMEGA	Relaxation factor (default = 1.0, i.e. standard Gauss-Seidel).

Definition at line 85 of file GaussSeidel.h.