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/* ../SRC/dseigt.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"
/* Common Block Declarations */
struct {
integer logfil, ndigit, mgetv0, msaupd, msaup2, msaitr, mseigt, msapps,
msgets, mseupd, mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets,
mneupd, mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd;
} debug_;
#define debug_1 debug_
struct {
integer nopx, nbx, nrorth, nitref, nrstrt;
real tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv, tnaupd,
tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv, tcaupd, tcaup2,
tcaitr, tceigh, tcgets, tcapps, tcconv, tmvopx, tmvbx, tgetv0,
titref, trvec;
} timing_;
#define timing_1 timing_
/* Table of constant values */
static integer c__1 = 1;
/* ----------------------------------------------------------------------- */
/* \BeginDoc */
/* \Name: dseigt */
/* \Description: */
/* Compute the eigenvalues of the current symmetric tridiagonal matrix */
/* and the corresponding error bounds given the current residual norm. */
/* \Usage: */
/* call dseigt */
/* ( RNORM, N, H, LDH, EIG, BOUNDS, WORKL, IERR ) */
/* \Arguments */
/* RNORM Double precision scalar. (INPUT) */
/* RNORM contains the residual norm corresponding to the current */
/* symmetric tridiagonal matrix H. */
/* N Integer. (INPUT) */
/* Size of the symmetric tridiagonal matrix H. */
/* H Double precision N by 2 array. (INPUT) */
/* H contains the symmetric tridiagonal matrix with the */
/* subdiagonal in the first column starting at H(2,1) and the */
/* main diagonal in second column. */
/* LDH Integer. (INPUT) */
/* Leading dimension of H exactly as declared in the calling */
/* program. */
/* EIG Double precision array of length N. (OUTPUT) */
/* On output, EIG contains the N eigenvalues of H possibly */
/* unsorted. The BOUNDS arrays are returned in the */
/* same sorted order as EIG. */
/* BOUNDS Double precision array of length N. (OUTPUT) */
/* On output, BOUNDS contains the error estimates corresponding */
/* to the eigenvalues EIG. This is equal to RNORM times the */
/* last components of the eigenvectors corresponding to the */
/* eigenvalues in EIG. */
/* WORKL Double precision work array of length 3*N. (WORKSPACE) */
/* Private (replicated) array on each PE or array allocated on */
/* the front end. */
/* IERR Integer. (OUTPUT) */
/* Error exit flag from dstqrb. */
/* \EndDoc */
/* ----------------------------------------------------------------------- */
/* \BeginLib */
/* \Local variables: */
/* xxxxxx real */
/* \Routines called: */
/* dstqrb ARPACK routine that computes the eigenvalues and the */
/* last components of the eigenvectors of a symmetric */
/* and tridiagonal matrix. */
/* second ARPACK utility routine for timing. */
/* dvout ARPACK utility routine that prints vectors. */
/* dcopy Level 1 BLAS that copies one vector to another. */
/* \Author */
/* Danny Sorensen Phuong Vu */
/* Richard Lehoucq CRPC / Rice University */
/* Dept. of Computational & Houston, Texas */
/* Applied Mathematics */
/* Rice University */
/* Houston, Texas */
/* \Revision history: */
/* xx/xx/92: Version ' 2.4' */
/* \SCCS Information: @(#) */
/* FILE: seigt.F SID: 2.4 DATE OF SID: 8/27/96 RELEASE: 2 */
/* \Remarks */
/* None */
/* \EndLib */
/* ----------------------------------------------------------------------- */
/* Subroutine */ int dseigt_(doublereal *rnorm, integer *n, doublereal *h__,
integer *ldh, doublereal *eig, doublereal *bounds, doublereal *workl,
integer *ierr)
{
/* System generated locals */
integer h_dim1, h_offset, i__1;
doublereal d__1;
/* Local variables */
static integer k;
static real t0, t1;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *), dvout_(integer *, integer *, doublereal
*, integer *, char *, ftnlen), second_(real *);
static integer msglvl;
extern /* Subroutine */ int dstqrb_(integer *, doublereal *, doublereal *,
doublereal *, doublereal *, integer *);
/* %----------------------------------------------------% */
/* | Include files for debugging and timing information | */
/* %----------------------------------------------------% */
/* \SCCS Information: @(#) */
/* FILE: debug.h SID: 2.3 DATE OF SID: 11/16/95 RELEASE: 2 */
/* %---------------------------------% */
/* | See debug.doc for documentation | */
/* %---------------------------------% */
/* %------------------% */
/* | Scalar Arguments | */
/* %------------------% */
/* %--------------------------------% */
/* | See stat.doc for documentation | */
/* %--------------------------------% */
/* \SCCS Information: @(#) */
/* FILE: stat.h SID: 2.2 DATE OF SID: 11/16/95 RELEASE: 2 */
/* %-----------------% */
/* | Array Arguments | */
/* %-----------------% */
/* %------------% */
/* | Parameters | */
/* %------------% */
/* %---------------% */
/* | Local Scalars | */
/* %---------------% */
/* %----------------------% */
/* | External Subroutines | */
/* %----------------------% */
/* %-----------------------% */
/* | Executable Statements | */
/* %-----------------------% */
/* %-------------------------------% */
/* | Initialize timing statistics | */
/* | & message level for debugging | */
/* %-------------------------------% */
/* Parameter adjustments */
--workl;
--bounds;
--eig;
h_dim1 = *ldh;
h_offset = 1 + h_dim1;
h__ -= h_offset;
/* Function Body */
second_(&t0);
msglvl = debug_1.mseigt;
if (msglvl > 0) {
dvout_(&debug_1.logfil, n, &h__[(h_dim1 << 1) + 1], &debug_1.ndigit,
"_seigt: main diagonal of matrix H", (ftnlen)33);
if (*n > 1) {
i__1 = *n - 1;
dvout_(&debug_1.logfil, &i__1, &h__[h_dim1 + 2], &debug_1.ndigit,
"_seigt: sub diagonal of matrix H", (ftnlen)32);
}
}
dcopy_(n, &h__[(h_dim1 << 1) + 1], &c__1, &eig[1], &c__1);
i__1 = *n - 1;
dcopy_(&i__1, &h__[h_dim1 + 2], &c__1, &workl[1], &c__1);
dstqrb_(n, &eig[1], &workl[1], &bounds[1], &workl[*n + 1], ierr);
if (*ierr != 0) {
goto L9000;
}
if (msglvl > 1) {
dvout_(&debug_1.logfil, n, &bounds[1], &debug_1.ndigit, "_seigt: las"
"t row of the eigenvector matrix for H", (ftnlen)48);
}
/* %-----------------------------------------------% */
/* | Finally determine the error bounds associated | */
/* | with the n Ritz values of H. | */
/* %-----------------------------------------------% */
i__1 = *n;
for (k = 1; k <= i__1; ++k) {
bounds[k] = *rnorm * (d__1 = bounds[k], abs(d__1));
/* L30: */
}
second_(&t1);
timing_1.tseigt += t1 - t0;
L9000:
return 0;
/* %---------------% */
/* | End of dseigt | */
/* %---------------% */
} /* dseigt_ */
|
