Пример #1
0
/* Subroutine */ int dspsvx_(char *fact, char *uplo, integer *n, integer *
	nrhs, doublereal *ap, doublereal *afp, integer *ipiv, doublereal *b, 
	integer *ldb, doublereal *x, integer *ldx, doublereal *rcond, 
	doublereal *ferr, doublereal *berr, doublereal *work, integer *iwork, 
	integer *info)
{
    /* System generated locals */
    integer b_dim1, b_offset, x_dim1, x_offset, i__1;

    /* Local variables */
    extern logical lsame_(char *, char *);
    doublereal anorm;
    extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, 
	    doublereal *, integer *);
    extern doublereal dlamch_(char *);
    logical nofact;
    extern /* Subroutine */ int dlacpy_(char *, integer *, integer *, 
	    doublereal *, integer *, doublereal *, integer *), 
	    xerbla_(char *, integer *);
    extern doublereal dlansp_(char *, char *, integer *, doublereal *, 
	    doublereal *);
    extern /* Subroutine */ int dspcon_(char *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, doublereal *, integer *, 
	    integer *), dsprfs_(char *, integer *, integer *, 
	    doublereal *, doublereal *, integer *, doublereal *, integer *, 
	    doublereal *, integer *, doublereal *, doublereal *, doublereal *, 
	     integer *, integer *), dsptrf_(char *, integer *, 
	    doublereal *, integer *, integer *), dsptrs_(char *, 
	    integer *, integer *, doublereal *, integer *, doublereal *, 
	    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 */
/*  ======= */

/*  DSPSVX uses the diagonal pivoting factorization A = U*D*U**T or */
/*  A = L*D*L**T to compute the solution to a real system of linear */
/*  equations A * X = B, where A is an N-by-N symmetric matrix stored */
/*  in packed format and X and B are N-by-NRHS matrices. */

/*  Error bounds on the solution and a condition estimate are also */
/*  provided. */

/*  Description */
/*  =========== */

/*  The following steps are performed: */

/*  1. If FACT = 'N', the diagonal pivoting method is used to factor A as */
/*        A = U * D * U**T,  if UPLO = 'U', or */
/*        A = L * D * L**T,  if UPLO = 'L', */
/*     where U (or L) is a product of permutation and unit upper (lower) */
/*     triangular matrices and D is symmetric and block diagonal with */
/*     1-by-1 and 2-by-2 diagonal blocks. */

/*  2. If some D(i,i)=0, so that D is exactly singular, then the routine */
/*     returns with INFO = i. Otherwise, the factored form of A is used */
/*     to estimate the condition number of the matrix A.  If the */
/*     reciprocal of the condition number is less than machine precision, */
/*     INFO = N+1 is returned as a warning, but the routine still goes on */
/*     to solve for X and compute error bounds as described below. */

/*  3. The system of equations is solved for X using the factored form */
/*     of A. */

/*  4. Iterative refinement is applied to improve the computed solution */
/*     matrix and calculate error bounds and backward error estimates */
/*     for it. */

/*  Arguments */
/*  ========= */

/*  FACT    (input) CHARACTER*1 */
/*          Specifies whether or not the factored form of A has been */
/*          supplied on entry. */
/*          = 'F':  On entry, AFP and IPIV contain the factored form of */
/*                  A.  AP, AFP and IPIV will not be modified. */
/*          = 'N':  The matrix A will be copied to AFP and factored. */

/*  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 matrices B and X.  NRHS >= 0. */

/*  AP      (input) DOUBLE PRECISION array, dimension (N*(N+1)/2) */
/*          The upper or lower triangle of the symmetric matrix A, packed */
/*          columnwise in a linear array.  The j-th column of A is stored */
/*          in the array AP as follows: */
/*          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
/*          if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n. */
/*          See below for further details. */

/*  AFP     (input or output) DOUBLE PRECISION array, dimension */
/*                            (N*(N+1)/2) */
/*          If FACT = 'F', then AFP is an input argument and on entry */
/*          contains the block diagonal matrix D and the multipliers used */
/*          to obtain the factor U or L from the factorization */
/*          A = U*D*U**T or A = L*D*L**T as computed by DSPTRF, stored as */
/*          a packed triangular matrix in the same storage format as A. */

/*          If FACT = 'N', then AFP is an output argument and on exit */
/*          contains the block diagonal matrix D and the multipliers used */
/*          to obtain the factor U or L from the factorization */
/*          A = U*D*U**T or A = L*D*L**T as computed by DSPTRF, stored as */
/*          a packed triangular matrix in the same storage format as A. */

/*  IPIV    (input or output) INTEGER array, dimension (N) */
/*          If FACT = 'F', then IPIV is an input argument and on entry */
/*          contains details of the interchanges and the block structure */
/*          of D, as determined by DSPTRF. */
/*          If IPIV(k) > 0, then rows and columns k and IPIV(k) were */
/*          interchanged and D(k,k) is a 1-by-1 diagonal block. */
/*          If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0, then rows and */
/*          columns k-1 and -IPIV(k) were interchanged and D(k-1:k,k-1:k) */
/*          is a 2-by-2 diagonal block.  If UPLO = 'L' and IPIV(k) = */
/*          IPIV(k+1) < 0, then rows and columns k+1 and -IPIV(k) were */
/*          interchanged and D(k:k+1,k:k+1) is a 2-by-2 diagonal block. */

/*          If FACT = 'N', then IPIV is an output argument and on exit */
/*          contains details of the interchanges and the block structure */
/*          of D, as determined by DSPTRF. */

/*  B       (input) DOUBLE PRECISION array, dimension (LDB,NRHS) */
/*          The N-by-NRHS right hand side matrix B. */

/*  LDB     (input) INTEGER */
/*          The leading dimension of the array B.  LDB >= max(1,N). */

/*  X       (output) DOUBLE PRECISION array, dimension (LDX,NRHS) */
/*          If INFO = 0 or INFO = N+1, the N-by-NRHS solution matrix X. */

/*  LDX     (input) INTEGER */
/*          The leading dimension of the array X.  LDX >= max(1,N). */

/*  RCOND   (output) DOUBLE PRECISION */
/*          The estimate of the reciprocal condition number of the matrix */
/*          A.  If RCOND is less than the machine precision (in */
/*          particular, if RCOND = 0), the matrix is singular to working */
/*          precision.  This condition is indicated by a return code of */
/*          INFO > 0. */

/*  FERR    (output) DOUBLE PRECISION array, dimension (NRHS) */
/*          The estimated forward error bound for each solution vector */
/*          X(j) (the j-th column of the solution matrix X). */
/*          If XTRUE is the true solution corresponding to X(j), FERR(j) */
/*          is an estimated upper bound for the magnitude of the largest */
/*          element in (X(j) - XTRUE) divided by the magnitude of the */
/*          largest element in X(j).  The estimate is as reliable as */
/*          the estimate for RCOND, and is almost always a slight */
/*          overestimate of the true error. */

/*  BERR    (output) DOUBLE PRECISION array, dimension (NRHS) */
/*          The componentwise relative backward error of each solution */
/*          vector X(j) (i.e., the smallest relative change in */
/*          any element of A or B that makes X(j) an exact solution). */

/*  WORK    (workspace) DOUBLE PRECISION array, dimension (3*N) */

/*  IWORK   (workspace) INTEGER array, dimension (N) */

/*  INFO    (output) INTEGER */
/*          = 0: successful exit */
/*          < 0: if INFO = -i, the i-th argument had an illegal value */
/*          > 0:  if INFO = i, and i is */
/*                <= N:  D(i,i) is exactly zero.  The factorization */
/*                       has been completed but the factor D is exactly */
/*                       singular, so the solution and error bounds could */
/*                       not be computed. RCOND = 0 is returned. */
/*                = N+1: D is nonsingular, but RCOND is less than machine */
/*                       precision, meaning that the matrix is singular */
/*                       to working precision.  Nevertheless, the */
/*                       solution and error bounds are computed because */
/*                       there are a number of situations where the */
/*                       computed solution can be more accurate than the */
/*                       value of RCOND would suggest. */

/*  Further Details */
/*  =============== */

/*  The packed storage scheme is illustrated by the following example */
/*  when N = 4, UPLO = 'U': */

/*  Two-dimensional storage of the symmetric matrix A: */

/*     a11 a12 a13 a14 */
/*         a22 a23 a24 */
/*             a33 a34     (aij = aji) */
/*                 a44 */

/*  Packed storage of the upper triangle of A: */

/*  AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ] */

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

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

/*     Test the input parameters. */

    /* Parameter adjustments */
    --ap;
    --afp;
    --ipiv;
    b_dim1 = *ldb;
    b_offset = 1 + b_dim1;
    b -= b_offset;
    x_dim1 = *ldx;
    x_offset = 1 + x_dim1;
    x -= x_offset;
    --ferr;
    --berr;
    --work;
    --iwork;

    /* Function Body */
    *info = 0;
    nofact = lsame_(fact, "N");
    if (! nofact && ! lsame_(fact, "F")) {
	*info = -1;
    } else if (! lsame_(uplo, "U") && ! lsame_(uplo, 
	    "L")) {
	*info = -2;
    } else if (*n < 0) {
	*info = -3;
    } else if (*nrhs < 0) {
	*info = -4;
    } else if (*ldb < max(1,*n)) {
	*info = -9;
    } else if (*ldx < max(1,*n)) {
	*info = -11;
    }
    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("DSPSVX", &i__1);
	return 0;
    }

    if (nofact) {

/*        Compute the factorization A = U*D*U' or A = L*D*L'. */

	i__1 = *n * (*n + 1) / 2;
	dcopy_(&i__1, &ap[1], &c__1, &afp[1], &c__1);
	dsptrf_(uplo, n, &afp[1], &ipiv[1], info);

/*        Return if INFO is non-zero. */

	if (*info > 0) {
	    *rcond = 0.;
	    return 0;
	}
    }

/*     Compute the norm of the matrix A. */

    anorm = dlansp_("I", uplo, n, &ap[1], &work[1]);

/*     Compute the reciprocal of the condition number of A. */

    dspcon_(uplo, n, &afp[1], &ipiv[1], &anorm, rcond, &work[1], &iwork[1], 
	    info);

/*     Compute the solution vectors X. */

    dlacpy_("Full", n, nrhs, &b[b_offset], ldb, &x[x_offset], ldx);
    dsptrs_(uplo, n, nrhs, &afp[1], &ipiv[1], &x[x_offset], ldx, info);

/*     Use iterative refinement to improve the computed solutions and */
/*     compute error bounds and backward error estimates for them. */

    dsprfs_(uplo, n, nrhs, &ap[1], &afp[1], &ipiv[1], &b[b_offset], ldb, &x[
	    x_offset], ldx, &ferr[1], &berr[1], &work[1], &iwork[1], info);

/*     Set INFO = N+1 if the matrix is singular to working precision. */

    if (*rcond < dlamch_("Epsilon")) {
	*info = *n + 1;
    }

    return 0;

/*     End of DSPSVX */

} /* dspsvx_ */
Пример #2
0
/* Subroutine */ int derrsy_(char *path, integer *nunit)
{
    /* Builtin functions */
    integer s_wsle(cilist *), e_wsle(void);
    /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);

    /* Local variables */
    static integer info;
    static doublereal anrm, a[16]	/* was [4][4] */, b[4];
    static integer i__, j;
    static doublereal w[12], x[4], rcond;
    static char c2[2];
    static doublereal r1[4], r2[4], af[16]	/* was [4][4] */;
    extern /* Subroutine */ int dsytf2_(char *, integer *, doublereal *, 
	    integer *, integer *, integer *);
    static integer ip[4], iw[4];
    extern /* Subroutine */ int alaesm_(char *, logical *, integer *);
    extern logical lsamen_(integer *, char *, char *);
    extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical 
	    *, logical *), dspcon_(char *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, doublereal *, integer *, 
	    integer *), dsycon_(char *, integer *, doublereal *, 
	    integer *, integer *, doublereal *, doublereal *, doublereal *, 
	    integer *, integer *), dsprfs_(char *, integer *, integer 
	    *, doublereal *, doublereal *, integer *, doublereal *, integer *,
	     doublereal *, integer *, doublereal *, doublereal *, doublereal *
	    , integer *, integer *), dsptrf_(char *, integer *, 
	    doublereal *, integer *, integer *), dsptri_(char *, 
	    integer *, doublereal *, integer *, doublereal *, integer *), dsyrfs_(char *, integer *, integer *, doublereal *, 
	    integer *, doublereal *, integer *, integer *, doublereal *, 
	    integer *, doublereal *, integer *, doublereal *, doublereal *, 
	    doublereal *, integer *, integer *), dsytrf_(char *, 
	    integer *, doublereal *, integer *, integer *, doublereal *, 
	    integer *, integer *), dsytri_(char *, integer *, 
	    doublereal *, integer *, integer *, doublereal *, integer *), dsptrs_(char *, integer *, integer *, doublereal *, 
	    integer *, doublereal *, integer *, integer *), dsytrs_(
	    char *, integer *, integer *, doublereal *, integer *, integer *, 
	    doublereal *, integer *, integer *);

    /* Fortran I/O blocks */
    static cilist io___1 = { 0, 0, 0, 0, 0 };



#define a_ref(a_1,a_2) a[(a_2)*4 + a_1 - 5]
#define af_ref(a_1,a_2) af[(a_2)*4 + a_1 - 5]


/*  -- LAPACK test routine (version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       February 29, 1992   


    Purpose   
    =======   

    DERRSY tests the error exits for the DOUBLE PRECISION routines   
    for symmetric indefinite matrices.   

    Arguments   
    =========   

    PATH    (input) CHARACTER*3   
            The LAPACK path name for the routines to be tested.   

    NUNIT   (input) INTEGER   
            The unit number for output.   

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


    infoc_1.nout = *nunit;
    io___1.ciunit = infoc_1.nout;
    s_wsle(&io___1);
    e_wsle();
    s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2);

/*     Set the variables to innocuous values. */

    for (j = 1; j <= 4; ++j) {
	for (i__ = 1; i__ <= 4; ++i__) {
	    a_ref(i__, j) = 1. / (doublereal) (i__ + j);
	    af_ref(i__, j) = 1. / (doublereal) (i__ + j);
/* L10: */
	}
	b[j - 1] = 0.;
	r1[j - 1] = 0.;
	r2[j - 1] = 0.;
	w[j - 1] = 0.;
	x[j - 1] = 0.;
	ip[j - 1] = j;
	iw[j - 1] = j;
/* L20: */
    }
    anrm = 1.;
    rcond = 1.;
    infoc_1.ok = TRUE_;

    if (lsamen_(&c__2, c2, "SY")) {

/*        Test error exits of the routines that use the Bunch-Kaufman   
          factorization of a symmetric indefinite matrix.   

          DSYTRF */

	s_copy(srnamc_1.srnamt, "DSYTRF", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsytrf_("/", &c__0, a, &c__1, ip, w, &c__1, &info);
	chkxer_("DSYTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsytrf_("U", &c_n1, a, &c__1, ip, w, &c__1, &info);
	chkxer_("DSYTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 4;
	dsytrf_("U", &c__2, a, &c__1, ip, w, &c__4, &info);
	chkxer_("DSYTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSYTF2 */

	s_copy(srnamc_1.srnamt, "DSYTF2", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsytf2_("/", &c__0, a, &c__1, ip, &info);
	chkxer_("DSYTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsytf2_("U", &c_n1, a, &c__1, ip, &info);
	chkxer_("DSYTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 4;
	dsytf2_("U", &c__2, a, &c__1, ip, &info);
	chkxer_("DSYTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSYTRI */

	s_copy(srnamc_1.srnamt, "DSYTRI", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsytri_("/", &c__0, a, &c__1, ip, w, &info);
	chkxer_("DSYTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsytri_("U", &c_n1, a, &c__1, ip, w, &info);
	chkxer_("DSYTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 4;
	dsytri_("U", &c__2, a, &c__1, ip, w, &info);
	chkxer_("DSYTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSYTRS */

	s_copy(srnamc_1.srnamt, "DSYTRS", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsytrs_("/", &c__0, &c__0, a, &c__1, ip, b, &c__1, &info);
	chkxer_("DSYTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsytrs_("U", &c_n1, &c__0, a, &c__1, ip, b, &c__1, &info);
	chkxer_("DSYTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 3;
	dsytrs_("U", &c__0, &c_n1, a, &c__1, ip, b, &c__1, &info);
	chkxer_("DSYTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 5;
	dsytrs_("U", &c__2, &c__1, a, &c__1, ip, b, &c__2, &info);
	chkxer_("DSYTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 8;
	dsytrs_("U", &c__2, &c__1, a, &c__2, ip, b, &c__1, &info);
	chkxer_("DSYTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSYRFS */

	s_copy(srnamc_1.srnamt, "DSYRFS", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsyrfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, ip, b, &c__1, x, &
		c__1, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsyrfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, ip, b, &c__1, x, &
		c__1, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 3;
	dsyrfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, ip, b, &c__1, x, &
		c__1, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 5;
	dsyrfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, ip, b, &c__2, x, &
		c__2, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 7;
	dsyrfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, ip, b, &c__2, x, &
		c__2, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 10;
	dsyrfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, ip, b, &c__1, x, &
		c__2, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 12;
	dsyrfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, ip, b, &c__2, x, &
		c__1, r1, r2, w, iw, &info);
	chkxer_("DSYRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSYCON */

	s_copy(srnamc_1.srnamt, "DSYCON", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsycon_("/", &c__0, a, &c__1, ip, &anrm, &rcond, w, iw, &info);
	chkxer_("DSYCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsycon_("U", &c_n1, a, &c__1, ip, &anrm, &rcond, w, iw, &info);
	chkxer_("DSYCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 4;
	dsycon_("U", &c__2, a, &c__1, ip, &anrm, &rcond, w, iw, &info);
	chkxer_("DSYCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 6;
	dsycon_("U", &c__1, a, &c__1, ip, &c_b152, &rcond, w, iw, &info);
	chkxer_("DSYCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

    } else if (lsamen_(&c__2, c2, "SP")) {

/*        Test error exits of the routines that use the Bunch-Kaufman   
          factorization of a symmetric indefinite packed matrix.   

          DSPTRF */

	s_copy(srnamc_1.srnamt, "DSPTRF", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsptrf_("/", &c__0, a, ip, &info);
	chkxer_("DSPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsptrf_("U", &c_n1, a, ip, &info);
	chkxer_("DSPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSPTRI */

	s_copy(srnamc_1.srnamt, "DSPTRI", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsptri_("/", &c__0, a, ip, w, &info);
	chkxer_("DSPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsptri_("U", &c_n1, a, ip, w, &info);
	chkxer_("DSPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSPTRS */

	s_copy(srnamc_1.srnamt, "DSPTRS", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsptrs_("/", &c__0, &c__0, a, ip, b, &c__1, &info);
	chkxer_("DSPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsptrs_("U", &c_n1, &c__0, a, ip, b, &c__1, &info);
	chkxer_("DSPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 3;
	dsptrs_("U", &c__0, &c_n1, a, ip, b, &c__1, &info);
	chkxer_("DSPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 7;
	dsptrs_("U", &c__2, &c__1, a, ip, b, &c__1, &info);
	chkxer_("DSPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSPRFS */

	s_copy(srnamc_1.srnamt, "DSPRFS", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dsprfs_("/", &c__0, &c__0, a, af, ip, b, &c__1, x, &c__1, r1, r2, w, 
		iw, &info);
	chkxer_("DSPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dsprfs_("U", &c_n1, &c__0, a, af, ip, b, &c__1, x, &c__1, r1, r2, w, 
		iw, &info);
	chkxer_("DSPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 3;
	dsprfs_("U", &c__0, &c_n1, a, af, ip, b, &c__1, x, &c__1, r1, r2, w, 
		iw, &info);
	chkxer_("DSPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 8;
	dsprfs_("U", &c__2, &c__1, a, af, ip, b, &c__1, x, &c__2, r1, r2, w, 
		iw, &info);
	chkxer_("DSPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 10;
	dsprfs_("U", &c__2, &c__1, a, af, ip, b, &c__2, x, &c__1, r1, r2, w, 
		iw, &info);
	chkxer_("DSPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);

/*        DSPCON */

	s_copy(srnamc_1.srnamt, "DSPCON", (ftnlen)6, (ftnlen)6);
	infoc_1.infot = 1;
	dspcon_("/", &c__0, a, ip, &anrm, &rcond, w, iw, &info);
	chkxer_("DSPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 2;
	dspcon_("U", &c_n1, a, ip, &anrm, &rcond, w, iw, &info);
	chkxer_("DSPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
	infoc_1.infot = 5;
	dspcon_("U", &c__1, a, ip, &c_b152, &rcond, w, iw, &info);
	chkxer_("DSPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
		infoc_1.ok);
    }

/*     Print a summary line. */

    alaesm_(path, &infoc_1.ok, &infoc_1.nout);

    return 0;

/*     End of DERRSY */

} /* derrsy_ */