492 SUBROUTINE dposvxx( FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, EQUED,
493 $ s, b, ldb, x, ldx, rcond, rpvgrw, berr,
494 $ n_err_bnds, err_bnds_norm, err_bnds_comp,
495 $ nparams, params, work, iwork, info )
503 CHARACTER EQUED, FACT, UPLO
504 INTEGER INFO, LDA, LDAF, LDB, LDX, N, NRHS, NPARAMS,
506 DOUBLE PRECISION RCOND, RPVGRW
510 DOUBLE PRECISION A( lda, * ), AF( ldaf, * ), B( ldb, * ),
511 $ x( ldx, * ), work( * )
512 DOUBLE PRECISION S( * ), PARAMS( * ), BERR( * ),
513 $ err_bnds_norm( nrhs, * ),
514 $ err_bnds_comp( nrhs, * )
520 DOUBLE PRECISION ZERO, ONE
521 parameter( zero = 0.0d+0, one = 1.0d+0 )
522 INTEGER FINAL_NRM_ERR_I, FINAL_CMP_ERR_I, BERR_I
523 INTEGER RCOND_I, NRM_RCOND_I, NRM_ERR_I, CMP_RCOND_I
524 INTEGER CMP_ERR_I, PIV_GROWTH_I
525 parameter( final_nrm_err_i = 1, final_cmp_err_i = 2,
527 parameter( rcond_i = 4, nrm_rcond_i = 5, nrm_err_i = 6 )
528 parameter( cmp_rcond_i = 7, cmp_err_i = 8,
532 LOGICAL EQUIL, NOFACT, RCEQU
534 DOUBLE PRECISION AMAX, BIGNUM, SMIN, SMAX,
540 DOUBLE PRECISION DLAMCH, DLA_PORPVGRW
552 nofact = lsame( fact,
'N' )
553 equil = lsame( fact,
'E' )
554 smlnum = dlamch(
'Safe minimum' )
555 bignum = one / smlnum
556 IF( nofact .OR. equil )
THEN
560 rcequ = lsame( equed,
'Y' )
571 IF( .NOT.nofact .AND. .NOT.equil .AND. .NOT.
572 $ lsame( fact,
'F' ) )
THEN
574 ELSE IF( .NOT.lsame( uplo,
'U' ) .AND.
575 $ .NOT.lsame( uplo,
'L' ) )
THEN
577 ELSE IF( n.LT.0 )
THEN
579 ELSE IF( nrhs.LT.0 )
THEN
581 ELSE IF( lda.LT.max( 1, n ) )
THEN
583 ELSE IF( ldaf.LT.max( 1, n ) )
THEN
585 ELSE IF( lsame( fact,
'F' ) .AND. .NOT.
586 $ ( rcequ .OR. lsame( equed,
'N' ) ) )
THEN
593 smin = min( smin, s( j ) )
594 smax = max( smax, s( j ) )
596 IF( smin.LE.zero )
THEN
598 ELSE IF( n.GT.0 )
THEN
599 scond = max( smin, smlnum ) / min( smax, bignum )
605 IF( ldb.LT.max( 1, n ) )
THEN
607 ELSE IF( ldx.LT.max( 1, n ) )
THEN
614 CALL
xerbla(
'DPOSVXX', -info )
622 CALL
dpoequb( n, a, lda, s, scond, amax, infequ )
623 IF( infequ.EQ.0 )
THEN
627 CALL
dlaqsy( uplo, n, a, lda, s, scond, amax, equed )
628 rcequ = lsame( equed,
'Y' )
634 IF( rcequ ) CALL
dlascl2( n, nrhs, s, b, ldb )
636 IF( nofact .OR. equil )
THEN
640 CALL
dlacpy( uplo, n, n, a, lda, af, ldaf )
641 CALL
dpotrf( uplo, n, af, ldaf, info )
651 rpvgrw = dla_porpvgrw( uplo, info, a, lda, af, ldaf, work )
658 rpvgrw = dla_porpvgrw( uplo, n, a, lda, af, ldaf, work )
662 CALL
dlacpy(
'Full', n, nrhs, b, ldb, x, ldx )
663 CALL
dpotrs( uplo, n, nrhs, af, ldaf, x, ldx, info )
668 CALL
dporfsx( uplo, equed, n, nrhs, a, lda, af, ldaf,
669 $ s, b, ldb, x, ldx, rcond, berr, n_err_bnds, err_bnds_norm,
670 $ err_bnds_comp, nparams, params, work, iwork, info )
676 CALL
dlascl2( n, nrhs, s, x, ldx )
subroutine dpotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
DPOTRS
subroutine dporfsx(UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO)
DPORFSX
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine dlascl2(M, N, D, X, LDX)
DLASCL2 performs diagonal scaling on a vector.
subroutine dlaqsy(UPLO, N, A, LDA, S, SCOND, AMAX, EQUED)
DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ.
subroutine dposvxx(FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, EQUED, S, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO)
DPOSVXX computes the solution to system of linear equations A * X = B for PO matrices ...
double precision function dla_porpvgrw(UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian...
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
subroutine dpotrf(UPLO, N, A, LDA, INFO)
DPOTRF
subroutine dpoequb(N, A, LDA, S, SCOND, AMAX, INFO)
DPOEQUB