#include "blaswrap.h" /* dgtt02.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" /* Table of constant values */ static doublereal c_b6 = -1.; static doublereal c_b7 = 1.; static integer c__1 = 1; /* Subroutine */ int dgtt02_(char *trans, integer *n, integer *nrhs, doublereal *dl, doublereal *d__, doublereal *du, doublereal *x, integer *ldx, doublereal *b, integer *ldb, doublereal *rwork, doublereal *resid) { /* System generated locals */ integer b_dim1, b_offset, x_dim1, x_offset, i__1; doublereal d__1, d__2; /* Local variables */ static integer j; static doublereal eps; extern logical lsame_(char *, char *); extern doublereal dasum_(integer *, doublereal *, integer *); static doublereal anorm, bnorm, xnorm; extern doublereal dlamch_(char *); extern /* Subroutine */ int dlagtm_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *); extern doublereal dlangt_(char *, integer *, doublereal *, doublereal *, doublereal *); /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= DGTT02 computes the residual for the solution to a tridiagonal system of equations: RESID = norm(B - op(A)*X) / (norm(A) * norm(X) * EPS), where EPS is the machine epsilon. Arguments ========= TRANS (input) CHARACTER Specifies the form of the residual. = 'N': B - A * X (No transpose) = 'T': B - A'* X (Transpose) = 'C': B - A'* X (Conjugate transpose = Transpose) N (input) INTEGTER 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. DL (input) DOUBLE PRECISION array, dimension (N-1) The (n-1) sub-diagonal elements of A. D (input) DOUBLE PRECISION array, dimension (N) The diagonal elements of A. DU (input) DOUBLE PRECISION array, dimension (N-1) The (n-1) super-diagonal elements of A. X (input) DOUBLE PRECISION array, dimension (LDX,NRHS) The computed solution vectors X. LDX (input) INTEGER The leading dimension of the array X. LDX >= max(1,N). B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side vectors for the system of linear equations. On exit, B is overwritten with the difference B - op(A)*X. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). RWORK (workspace) DOUBLE PRECISION array, dimension (N) RESID (output) DOUBLE PRECISION norm(B - op(A)*X) / (norm(A) * norm(X) * EPS) ===================================================================== Quick exit if N = 0 or NRHS = 0 Parameter adjustments */ --dl; --d__; --du; x_dim1 = *ldx; x_offset = 1 + x_dim1; x -= x_offset; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; --rwork; /* Function Body */ *resid = 0.; if (*n <= 0 || *nrhs == 0) { return 0; } /* Compute the maximum over the number of right hand sides of norm(B - op(A)*X) / ( norm(A) * norm(X) * EPS ). */ if (lsame_(trans, "N")) { anorm = dlangt_("1", n, &dl[1], &d__[1], &du[1]); } else { anorm = dlangt_("I", n, &dl[1], &d__[1], &du[1]); } /* Exit with RESID = 1/EPS if ANORM = 0. */ eps = dlamch_("Epsilon"); if (anorm <= 0.) { *resid = 1. / eps; return 0; } /* Compute B - op(A)*X. */ dlagtm_(trans, n, nrhs, &c_b6, &dl[1], &d__[1], &du[1], &x[x_offset], ldx, &c_b7, &b[b_offset], ldb); i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { bnorm = dasum_(n, &b[j * b_dim1 + 1], &c__1); xnorm = dasum_(n, &x[j * x_dim1 + 1], &c__1); if (xnorm <= 0.) { *resid = 1. / eps; } else { /* Computing MAX */ d__1 = *resid, d__2 = bnorm / anorm / xnorm / eps; *resid = max(d__1,d__2); } /* L10: */ } return 0; /* End of DGTT02 */ } /* dgtt02_ */