GRASS GIS 8 Programmer's Manual
8.2.2dev(2023)-3d2c704037
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#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <grass/gis.h>
#include <grass/gmath.h>
#include <grass/glocale.h>
Go to the source code of this file.
Functions | |
void | G_math_cholesky_sband_decomposition (double **A, double **T, int rows, int bandwidth) |
Cholesky decomposition of a symmetric band matrix. More... | |
void | G_math_solver_cholesky_sband (double **A, double *x, double *b, int rows, int bandwidth) |
Cholesky symmetric band matrix solver for linear equation systems of type Ax = b. More... | |
void | G_math_cholesky_sband_substitution (double **T, double *x, double *b, int rows, int bandwidth) |
Forward and backward substitution of a lower tringular symmetric band matrix of A from system Ax = b. More... | |
void | G_math_cholesky_sband_invert (double **A, double *invAdiag, int rows, int bandwidth) |
void | G_math_solver_cholesky_sband_invert (double **A, double *x, double *b, double *invAdiag, int rows, int bandwidth) |
void G_math_cholesky_sband_decomposition | ( | double ** | A, |
double ** | T, | ||
int | rows, | ||
int | bandwidth | ||
) |
Cholesky decomposition of a symmetric band matrix.
A | (double**) the input symmetric band matrix |
T | (double**) the resulting lower tringular symmetric band matrix |
rows | (int) number of rows |
bandwidth | (int) the bandwidth of the symmetric band matrix |
Definition at line 18 of file solvers_direct_cholesky_band.c.
void G_math_cholesky_sband_invert | ( | double ** | A, |
double * | invAdiag, | ||
int | rows, | ||
int | bandwidth | ||
) |
Definition at line 121 of file solvers_direct_cholesky_band.c.
void G_math_cholesky_sband_substitution | ( | double ** | T, |
double * | x, | ||
double * | b, | ||
int | rows, | ||
int | bandwidth | ||
) |
Forward and backward substitution of a lower tringular symmetric band matrix of A from system Ax = b.
T | (double**) the lower triangle symmetric band matrix |
x | (double*) the resulting vector |
b | (double*) the right hand side of Ax = b |
rows | (int) number of rows |
bandwidth | (int) the bandwidth of the symmetric band matrix |
Definition at line 87 of file solvers_direct_cholesky_band.c.
void G_math_solver_cholesky_sband | ( | double ** | A, |
double * | x, | ||
double * | b, | ||
int | rows, | ||
int | bandwidth | ||
) |
Cholesky symmetric band matrix solver for linear equation systems of type Ax = b.
A | (double**) the input symmetric band matrix |
x | (double*) the resulting vector, result is written in here |
b | (double*) the right hand side of Ax = b |
rows | (int) number of rows |
bandwidth | (int) the bandwidth of the symmetric band matrix |
Definition at line 61 of file solvers_direct_cholesky_band.c.
void G_math_solver_cholesky_sband_invert | ( | double ** | A, |
double * | x, | ||
double * | b, | ||
double * | invAdiag, | ||
int | rows, | ||
int | bandwidth | ||
) |
Definition at line 165 of file solvers_direct_cholesky_band.c.