/* cposv.f -- translated by f2c (version 20061008). 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 */ #include "f2c.h" #include "blaswrap.h" /* Subroutine */ int cposv_(char *uplo, integer *n, integer *nrhs, complex *a, integer *lda, complex *b, integer *ldb, integer *info) { /* System generated locals */ integer a_dim1, a_offset, b_dim1, b_offset, i__1; /* Local variables */ extern logical lsame_(char *, char *); extern /* Subroutine */ int xerbla_(char *, integer *), cpotrf_( char *, integer *, complex *, integer *, integer *), cpotrs_(char *, integer *, integer *, complex *, integer *, complex *, integer *, integer *); /* -- LAPACK driver routine (version 3.2) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CPOSV computes the solution to a complex system of linear equations */ /* A * X = B, */ /* where A is an N-by-N Hermitian positive definite matrix and X and B */ /* are N-by-NRHS matrices. */ /* The Cholesky decomposition is used to factor A as */ /* A = U**H* U, if UPLO = 'U', or */ /* A = L * L**H, if UPLO = 'L', */ /* where U is an upper triangular matrix and L is a lower triangular */ /* matrix. The factored form of A is then used to solve the system of */ /* equations A * X = B. */ /* Arguments */ /* ========= */ /* UPLO (input) CHARACTER*1 */ /* = 'U': Upper triangle of A is stored; */ /* = 'L': Lower triangle of A is stored. */ /* N (input) INTEGER */ /* The number of linear equations, i.e., 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/output) COMPLEX array, dimension (LDA,N) */ /* On entry, the Hermitian matrix A. If UPLO = 'U', the leading */ /* N-by-N upper triangular part of A contains the upper */ /* triangular part of the matrix A, and the strictly lower */ /* triangular part of A is not referenced. If UPLO = 'L', the */ /* leading N-by-N lower triangular part of A contains the lower */ /* triangular part of the matrix A, and the strictly upper */ /* triangular part of A is not referenced. */ /* On exit, if INFO = 0, the factor U or L from the Cholesky */ /* factorization A = U**H*U or A = L*L**H. */ /* LDA (input) INTEGER */ /* The leading dimension of the array A. LDA >= max(1,N). */ /* B (input/output) COMPLEX array, dimension (LDB,NRHS) */ /* On entry, the N-by-NRHS right hand side matrix B. */ /* On exit, if INFO = 0, the N-by-NRHS 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 */ /* > 0: if INFO = i, the leading minor of order i of A is not */ /* positive definite, so the factorization could not be */ /* completed, and the solution has not been computed. */ /* ===================================================================== */ /* .. 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; if (! lsame_(uplo, "U") && ! 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_("CPOSV ", &i__1); return 0; } /* Compute the Cholesky factorization A = U'*U or A = L*L'. */ cpotrf_(uplo, n, &a[a_offset], lda, info); if (*info == 0) { /* Solve the system A*X = B, overwriting B with X. */ cpotrs_(uplo, n, nrhs, &a[a_offset], lda, &b[b_offset], ldb, info); } return 0; /* End of CPOSV */ } /* cposv_ */