dpptrs.c

Go to the documentation of this file.

/* dpptrs.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"

/* Table of constant values */

static integer c__1 = 1;

/* Subroutine */ int dpptrs_(char *uplo, integer *n, integer *nrhs, 
        doublereal *ap, doublereal *b, integer *ldb, integer *info)
{
    /* System generated locals */
    integer b_dim1, b_offset, i__1;

    /* Local variables */
    integer i__;
    extern logical lsame_(char *, char *);
    logical upper;
    extern /* Subroutine */ int dtpsv_(char *, char *, char *, integer *, 
            doublereal *, doublereal *, integer *), 
            xerbla_(char *, integer *);


/*  -- LAPACK routine (version 3.2) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  DPPTRS solves a system of linear equations A*X = B with a symmetric */
/*  positive definite matrix A in packed storage using the Cholesky */
/*  factorization A = U**T*U or A = L*L**T computed by DPPTRF. */

/*  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. */

/*  AP      (input) DOUBLE PRECISION array, dimension (N*(N+1)/2) */
/*          The triangular factor U or L from the Cholesky factorization */
/*          A = U**T*U or A = L*L**T, packed columnwise in a linear */
/*          array.  The j-th column of U or L is stored in the array AP */
/*          as follows: */
/*          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; */
/*          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. */

/*  B       (input/output) DOUBLE PRECISION 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 */

/*  ===================================================================== */

/*     .. Local Scalars .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Executable Statements .. */

/*     Test the input parameters. */

    /* Parameter adjustments */
    --ap;
    b_dim1 = *ldb;
    b_offset = 1 + b_dim1;
    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 (*ldb < max(1,*n)) {
        *info = -6;
    }
    if (*info != 0) {
        i__1 = -(*info);
        xerbla_("DPPTRS", &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. */

        i__1 = *nrhs;
        for (i__ = 1; i__ <= i__1; ++i__) {

/*           Solve U'*X = B, overwriting B with X. */

            dtpsv_("Upper", "Transpose", "Non-unit", n, &ap[1], &b[i__ * 
                    b_dim1 + 1], &c__1);

/*           Solve U*X = B, overwriting B with X. */

            dtpsv_("Upper", "No transpose", "Non-unit", n, &ap[1], &b[i__ * 
                    b_dim1 + 1], &c__1);
/* L10: */
        }
    } else {

/*        Solve A*X = B where A = L*L'. */

        i__1 = *nrhs;
        for (i__ = 1; i__ <= i__1; ++i__) {

/*           Solve L*Y = B, overwriting B with X. */

            dtpsv_("Lower", "No transpose", "Non-unit", n, &ap[1], &b[i__ * 
                    b_dim1 + 1], &c__1);

/*           Solve L'*X = Y, overwriting B with X. */

            dtpsv_("Lower", "Transpose", "Non-unit", n, &ap[1], &b[i__ * 
                    b_dim1 + 1], &c__1);
/* L20: */
        }
    }

    return 0;

/*     End of DPPTRS */

} /* dpptrs_ */