/* fortran/dpotrs.f -- translated by f2c (version 20200916).
You must link the resulting object file with libf2c:
on Microsoft Windows system, link with libf2c.lib;
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
or, if you install libf2c.a in a standard place, with -lf2c -lm
-- in that order, at the end of the command line, as in
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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*/
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
/* Table of constant values */
static doublereal c_b9 = 1.;
/* > \brief \b DPOTRS */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* > \htmlonly */
/* > Download DPOTRS + dependencies */
/* > */
/* > [TGZ] */
/* > */
/* > [ZIP] */
/* > */
/* > [TXT] */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE DPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO ) */
/* .. Scalar Arguments .. */
/* CHARACTER UPLO */
/* INTEGER INFO, LDA, LDB, N, NRHS */
/* .. */
/* .. Array Arguments .. */
/* DOUBLE PRECISION A( LDA, * ), B( LDB, * ) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > DPOTRS solves a system of linear equations A*X = B with a symmetric */
/* > positive definite matrix A using the Cholesky factorization */
/* > A = U**T*U or A = L*L**T computed by DPOTRF. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] UPLO */
/* > \verbatim */
/* > UPLO is CHARACTER*1 */
/* > = 'U': Upper triangle of A is stored; */
/* > = 'L': Lower triangle of A is stored. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The order of the matrix A. N >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in] NRHS */
/* > \verbatim */
/* > NRHS is INTEGER */
/* > The number of right hand sides, i.e., the number of columns */
/* > of the matrix B. NRHS >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in] A */
/* > \verbatim */
/* > A is DOUBLE PRECISION array, dimension (LDA,N) */
/* > The triangular factor U or L from the Cholesky factorization */
/* > A = U**T*U or A = L*L**T, as computed by DPOTRF. */
/* > \endverbatim */
/* > */
/* > \param[in] LDA */
/* > \verbatim */
/* > LDA is INTEGER */
/* > The leading dimension of the array A. LDA >= max(1,N). */
/* > \endverbatim */
/* > */
/* > \param[in,out] B */
/* > \verbatim */
/* > B is DOUBLE PRECISION array, dimension (LDB,NRHS) */
/* > On entry, the right hand side matrix B. */
/* > On exit, the solution matrix X. */
/* > \endverbatim */
/* > */
/* > \param[in] LDB */
/* > \verbatim */
/* > LDB is INTEGER */
/* > The leading dimension of the array B. LDB >= max(1,N). */
/* > \endverbatim */
/* > */
/* > \param[out] INFO */
/* > \verbatim */
/* > INFO is INTEGER */
/* > = 0: successful exit */
/* > < 0: if INFO = -i, the i-th argument had an illegal value */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \ingroup doublePOcomputational */
/* ===================================================================== */
/* Subroutine */ int dpotrs_(char *uplo, integer *n, integer *nrhs,
doublereal *a, integer *lda, doublereal *b, integer *ldb, integer *
info, ftnlen uplo_len)
{
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, i__1;
/* Local variables */
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern /* Subroutine */ int dtrsm_(char *, char *, char *, char *,
integer *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, ftnlen, ftnlen, ftnlen, ftnlen);
logical upper;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* -- LAPACK computational routine -- */
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
/* Function Body */
*info = 0;
upper = lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1);
if (! upper && ! lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1)) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*nrhs < 0) {
*info = -3;
} else if (*lda < max(1,*n)) {
*info = -5;
} else if (*ldb < max(1,*n)) {
*info = -7;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"DPOTRS", &i__1, (ftnlen)6);
return 0;
}
/* Quick return if possible */
if (*n == 0 || *nrhs == 0) {
return 0;
}
if (upper) {
/* Solve A*X = B where A = U**T *U. */
/* Solve U**T *X = B, overwriting B with X. */
dtrsm_((char *)"Left", (char *)"Upper", (char *)"Transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[
a_offset], lda, &b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (
ftnlen)9, (ftnlen)8);
/* Solve U*X = B, overwriting B with X. */
dtrsm_((char *)"Left", (char *)"Upper", (char *)"No transpose", (char *)"Non-unit", n, nrhs, &c_b9, &
a[a_offset], lda, &b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (
ftnlen)12, (ftnlen)8);
} else {
/* Solve A*X = B where A = L*L**T. */
/* Solve L*X = B, overwriting B with X. */
dtrsm_((char *)"Left", (char *)"Lower", (char *)"No transpose", (char *)"Non-unit", n, nrhs, &c_b9, &
a[a_offset], lda, &b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (
ftnlen)12, (ftnlen)8);
/* Solve L**T *X = B, overwriting B with X. */
dtrsm_((char *)"Left", (char *)"Lower", (char *)"Transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[
a_offset], lda, &b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (
ftnlen)9, (ftnlen)8);
}
return 0;
/* End of DPOTRS */
} /* dpotrs_ */
#ifdef __cplusplus
}
#endif