#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int spotrs_(char *uplo, integer *n, integer *nrhs, real *a, integer *lda, real *b, integer *ldb, integer *info) { /* -- LAPACK routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University March 31, 1993 Purpose ======= SPOTRS 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 SPOTRF. Arguments ========= UPLO (input) CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. N (input) INTEGER The order of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) REAL 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 SPOTRF. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). B (input/output) REAL array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value ===================================================================== Test the input parameters. Parameter adjustments */ /* Table of constant values */ static real c_b9 = 1.f; /* System generated locals */ integer a_dim1, a_offset, b_dim1, b_offset, i__1; /* Local variables */ extern logical lsame_(char *, char *); static logical upper; extern /* Subroutine */ int strsm_(char *, char *, char *, char *, integer *, integer *, real *, real *, integer *, real *, integer * ), xerbla_(char *, integer *); a_dim1 = *lda; a_offset = 1 + a_dim1 * 1; a -= a_offset; b_dim1 = *ldb; b_offset = 1 + b_dim1 * 1; b -= b_offset; /* Function Body */ *info = 0; upper = lsame_(uplo, "U"); if (! upper && ! lsame_(uplo, "L")) { *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_("SPOTRS", &i__1); return 0; } /* Quick return if possible */ if (*n == 0 || *nrhs == 0) { return 0; } if (upper) { /* Solve A*X = B where A = U'*U. Solve U'*X = B, overwriting B with X. */ strsm_("Left", "Upper", "Transpose", "Non-unit", n, nrhs, &c_b9, &a[ a_offset], lda, &b[b_offset], ldb); /* Solve U*X = B, overwriting B with X. */ strsm_("Left", "Upper", "No transpose", "Non-unit", n, nrhs, &c_b9, & a[a_offset], lda, &b[b_offset], ldb); } else { /* Solve A*X = B where A = L*L'. Solve L*X = B, overwriting B with X. */ strsm_("Left", "Lower", "No transpose", "Non-unit", n, nrhs, &c_b9, & a[a_offset], lda, &b[b_offset], ldb); /* Solve L'*X = B, overwriting B with X. */ strsm_("Left", "Lower", "Transpose", "Non-unit", n, nrhs, &c_b9, &a[ a_offset], lda, &b[b_offset], ldb); } return 0; /* End of SPOTRS */ } /* spotrs_ */