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/* pcgl.c */
#include "../Iter.h"
/*--------------------------------------------------------------------*/
/*
---------------------------------------------------------------------
purpose -- to solve a symmetric nonnegative matrix equation
Ax=b
using left preconditioned conjugate gradient method
x -- Initial guess
A -- Input matrix
M -- Front Matrix as the preconditioner
b -- Right-hand side
tol -- Convergence tolerance
type -- type of entries
SPOOLES_REAL or SPOOLES_COMPLEX
symmetryflag -- symmetry of the matrix
SPOOLES_SYMMETRIC, SPOOLES_HERMITIAN or SPOOLES_NONSYMMETRIC
nrhs -- number of right hand sides
msglvl -- message level
msgFile -- message file
created -- Oct. 27, 1998 Wei-Pai Tang
---------------------------------------------------------------------
*/
int
pcgl (
int n_matrixSize,
int type,
int symmetryflag,
InpMtx *mtxA,
FrontMtx *Precond,
DenseMtx *mtxX,
DenseMtx *mtxB,
int itermax,
double convergetol,
int msglvl,
FILE *msgFile
)
{
Chv *chv, *rootchv ;
ChvManager *chvmanager ;
DenseMtx *mtxZ ;
DenseMtx *vecP, *vecR, *vecQ ;
DenseMtx *vecX, *vecZ ;
double Alpha, Beta, Rho, Rho0, Init_norm, ratio, Res_norm, Rtmp ;
double t1, t2, cpus[9] ;
double one[2] = {1.0, 0.0}, zero[2] = {0.0, 0.0} ;
double Tiny = 0.1e-28;
int Iter, neqns;
int stats[6] ;
if (symmetryflag != SPOOLES_SYMMETRIC){
fprintf(msgFile, "\n\n Fatal Error, \n"
" Matrix is not symmetric in PCGL !!") ;
return (-1);
};
neqns = n_matrixSize;
/*
--------------------
init the vectors in bicgstab
--------------------
*/
vecP = DenseMtx_new() ;
DenseMtx_init(vecP, type, 0, 0, neqns, 1, 1, neqns) ;
vecR = DenseMtx_new() ;
DenseMtx_init(vecR, type, 0, 0, neqns, 1, 1, neqns) ;
vecX = DenseMtx_new() ;
DenseMtx_init(vecX, type, 0, 0, neqns, 1, 1, neqns) ;
vecQ = DenseMtx_new() ;
DenseMtx_init(vecQ, type, 0, 0, neqns, 1, 1, neqns) ;
vecZ = DenseMtx_new() ;
DenseMtx_init(vecZ, type, 0, 0, neqns, 1, 1, neqns) ;
/*
--------------------------
Initialize the iterations
--------------------------
*/
FrontMtx_solve(Precond, vecR, mtxB, Precond->manager,
cpus, msglvl, msgFile) ;
Init_norm = DenseMtx_twoNormOfColumn(vecR,0);
if ( Init_norm == 0.0 ){
Init_norm = 1.0; };
ratio = 1.0;
DenseMtx_zero(vecX) ;
/* DenseMtx_copy(vecR, mtxB); */
MARKTIME(t1) ;
Iter = 0;
/*
------------------------------
Main Loop of the iterations
------------------------------
*/
while ( ratio > convergetol && Iter <= itermax )
{
Iter++;
/* */
DenseMtx_colDotProduct(vecR, 0, vecR, 0, &Rho);
/* */
if ( Iter == 1 ) {
DenseMtx_colCopy(vecP, 0, vecR, 0);
} else {
Beta = Rho /(Rho0 + Tiny);
DenseMtx_colGenAxpy(&Beta, vecP, 0, one, vecR, 0);
};
InpMtx_sym_gmmm(mtxA, zero, vecZ, one, vecP) ;
FrontMtx_solve(Precond, vecQ, vecZ, Precond->manager,
cpus, msglvl, msgFile) ;
DenseMtx_colDotProduct(vecP, 0, vecQ, 0, &Rtmp);
Alpha = Rho/(Rtmp+Tiny);
DenseMtx_colGenAxpy(one, vecX, 0, &Alpha, vecP, 0);
Rtmp=-Alpha;
DenseMtx_colGenAxpy(one, vecR, 0, &Rtmp, vecQ, 0);
Rho0 = Rho;
/* */
Res_norm = DenseMtx_twoNormOfColumn(vecR,0);
ratio = Res_norm/Init_norm;
fprintf(msgFile, "\n\n At iteration %d"
" the convergence ratio is %12.4e",
Iter, ratio) ;
}
/* End of while loop */
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU : Converges in time: %8.3f ", t2 - t1) ;
fprintf(msgFile, "\n # iterations = %d", Iter) ;
fprintf(msgFile, "\n\n after PCGL") ;
DenseMtx_colCopy(mtxX, 0, vecX, 0);
/*
------------------------
free the working storage
------------------------
*/
end:
DenseMtx_free(vecP) ;
DenseMtx_free(vecR) ;
DenseMtx_free(vecX) ;
DenseMtx_free(vecQ) ;
DenseMtx_free(vecZ) ;
fprintf(msgFile, "\n") ;
return(1) ; }
/*--------------------------------------------------------------------*/
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