KmlDss(Spd/Hpd)Solve?I

Solve LL^T x = b or LL^H x = b.

Interface Definition

C interfaces:

int KmlDssSpdSolveSI(KmlSolverTask **pHandle, int nb, float *x, int ldx, float *b, int ldb);

int KmlDssSpdSolveDI(KmlSolverTask **pHandle, int nb, double *x, int ldx, double *b, int ldb);

int KmlDssHpdSolveCI(KmlSolverTask **pHandle, int nb, kml_complex_float *x, int ldx, kml_complex_float *b, int ldb);

int KmlDssHpdSolveZI(KmlSolverTask **pHandle, int nb, kml_complex_double *x, int ldx, kml_complex_double *b, int ldb);

Parameters

Parameter	Type	Description	Input/Output
pHandle	KmlSolverTask **	Solver handle, which is a variable passed from a previous step.	Input
nb	int	Number of RHS vectors.	Input
x	float * in KmlDssSpdSolveSI double * in KmlDssSpdSolveDI kml_complex_float * in KmlDssHpdSolveCI. kml_complex_double * in KmlDssHpdSolveZI	Dense vector that stores the solution result. The number of elements is ldxnb. The i-th element of the k-th vector is stored at x[i + k ldx]**.	Output
ldx	int	Leading dimension of x. ldx ≥ max(1, n).	Input
b	float * in KmlDssSpdSolveSI double * in KmlDssSpdSolveDI kml_complex_float * in KmlDssHpdSolveCI. kml_complex_double * in KmlDssHpdSolveZI	Dense vector that stores the RHS. The quantity of elements is ldbnb. The i-th element of the k-th vector is stored at b[i + k ldb]**.	Input
ldb	int	Leading dimension of b. ldb ≥ max(1, n).	Input

Return Value

Return Value	Type	Description
KMLSS_NO_ERROR	int	The execution is successful.
KMLSS_NULL_ARGUMENT	int	A null parameter exists in {pHandle, x, b}.
KMLSS_BAD_NB	int	The value of nb is less than or equal to 0.
KMLSS_BAD_HANDLE	int	The format of pHandle is incorrect.
KMLSS_BAD_LDX	int	The value of ldx is out of the valid range.
KMLSS_BAD_LDB	int	The value of ldb is out of the valid range.
KMLSS_INVALID_CALL_ORDER	int	Incorrect function execution sequence: The solution function is executed without prior factorization.
KMLSS_NO_MEMORY	int	Memory allocation failed.

Dependencies

#include "kml_dss.h" or #include "kml_solver.h"

Examples

C interface:

int n = 2;
int ia[3] = {0,2,4};
int ja[4] = {0,1,0,1};
double a[4] = {2,1,1,2};
double b[2] = {3,1};
double x[2];

int nrhs = 1;
int ldx = n, ldb = n;

KmlSolverTask *handle;
int ierr = KmlDssSpdInitDI(&handle, n, a, ja, ia);
if (ierr != 0) {
        printf("\nERROR in KmlDssSpdInitDI: %d", ierr);
}
ierr = KmlDssSpdAnalyzeDI(&handle);
if (ierr != 0) {
        printf("\nERROR in KmlDssSpdAnalyzeDI: %d", ierr);
}
ierr = KmlDssSpdFactorizeDI(&handle);
if (ierr != 0) {
        printf("\nERROR in KmlDssSpdFactorizeDI: %d", ierr);
}
ierr = KmlDssSpdSolveDI(&handle, nrhs, x, ldx, b, ldb);
if (ierr != 0) {
        printf("\nERROR in KmlDssSpdSolveDI: %d", ierr);
}
for (int i = 0; i < n; i++) {
        printf("%lf ", x[i]);
}
printf("\n");

Output:

1.666667 -0.333333

Parent topic: LLT/LLH (DEPRECATED)