/* 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 cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #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