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|
/* ../SRC/zneigh.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 doublecomplex c_b1 = {1.,0.};
static doublecomplex c_b2 = {0.,0.};
static logical c_true = TRUE_;
static integer c__1 = 1;
/* \BeginDoc */
/* \Name: zneigh */
/* \Description: */
/* Compute the eigenvalues of the current upper Hessenberg matrix */
/* and the corresponding Ritz estimates given the current residual norm. */
/* \Usage: */
/* call zneigh */
/* ( RNORM, N, H, LDH, RITZ, BOUNDS, Q, LDQ, WORKL, RWORK, IERR ) */
/* \Arguments */
/* RNORM Double precision scalar. (INPUT) */
/* Residual norm corresponding to the current upper Hessenberg */
/* matrix H. */
/* N Integer. (INPUT) */
/* Size of the matrix H. */
/* H Complex*16 N by N array. (INPUT) */
/* H contains the current upper Hessenberg matrix. */
/* LDH Integer. (INPUT) */
/* Leading dimension of H exactly as declared in the calling */
/* program. */
/* RITZ Complex*16 array of length N. (OUTPUT) */
/* On output, RITZ(1:N) contains the eigenvalues of H. */
/* BOUNDS Complex*16 array of length N. (OUTPUT) */
/* On output, BOUNDS contains the Ritz estimates associated with */
/* the eigenvalues held in RITZ. This is equal to RNORM */
/* times the last components of the eigenvectors corresponding */
/* to the eigenvalues in RITZ. */
/* Q Complex*16 N by N array. (WORKSPACE) */
/* Workspace needed to store the eigenvectors of H. */
/* LDQ Integer. (INPUT) */
/* Leading dimension of Q exactly as declared in the calling */
/* program. */
/* WORKL Complex*16 work array of length N**2 + 3*N. (WORKSPACE) */
/* Private (replicated) array on each PE or array allocated on */
/* the front end. This is needed to keep the full Schur form */
/* of H and also in the calculation of the eigenvectors of H. */
/* RWORK Double precision work array of length N (WORKSPACE) */
/* Private (replicated) array on each PE or array allocated on */
/* the front end. */
/* IERR Integer. (OUTPUT) */
/* Error exit flag from zlahqr or ztrevc. */
/* \EndDoc */
/* ----------------------------------------------------------------------- */
/* \BeginLib */
/* \Local variables: */
/* xxxxxx Complex*16 */
/* \Routines called: */
/* ivout ARPACK utility routine that prints integers. */
/* second ARPACK utility routine for timing. */
/* zmout ARPACK utility routine that prints matrices */
/* zvout ARPACK utility routine that prints vectors. */
/* dvout ARPACK utility routine that prints vectors. */
/* zlacpy LAPACK matrix copy routine. */
/* zlahqr LAPACK routine to compute the Schur form of an */
/* upper Hessenberg matrix. */
/* zlaset LAPACK matrix initialization routine. */
/* ztrevc LAPACK routine to compute the eigenvectors of a matrix */
/* in upper triangular form */
/* zcopy Level 1 BLAS that copies one vector to another. */
/* zdscal Level 1 BLAS that scales a complex vector by a real number. */
/* dznrm2 Level 1 BLAS that computes the norm of a vector. */
/* \Author */
/* Danny Sorensen Phuong Vu */
/* Richard Lehoucq CRPC / Rice University */
/* Dept. of Computational & Houston, Texas */
/* Applied Mathematics */
/* Rice University */
/* Houston, Texas */
/* \SCCS Information: @(#) */
/* FILE: neigh.F SID: 2.2 DATE OF SID: 4/20/96 RELEASE: 2 */
/* \Remarks */
/* None */
/* \EndLib */
/* ----------------------------------------------------------------------- */
/* Subroutine */ int zneigh_(doublereal *rnorm, integer *n, doublecomplex *
h__, integer *ldh, doublecomplex *ritz, doublecomplex *bounds,
doublecomplex *q, integer *ldq, doublecomplex *workl, doublereal *
rwork, integer *ierr)
{
/* System generated locals */
integer h_dim1, h_offset, q_dim1, q_offset, i__1;
doublereal d__1;
/* Local variables */
static integer j;
static real t0, t1;
static doublecomplex vl[1];
static doublereal temp;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zmout_(integer *, integer *, integer
*, doublecomplex *, integer *, integer *, char *, ftnlen), zvout_(
integer *, integer *, doublecomplex *, integer *, char *, ftnlen);
extern doublereal dznrm2_(integer *, doublecomplex *, integer *);
extern /* Subroutine */ int second_(real *);
static logical select[1];
static integer msglvl;
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *, ftnlen),
zlahqr_(logical *, logical *, integer *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *, integer *,
doublecomplex *, integer *, integer *), ztrevc_(char *, char *,
logical *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, integer *, integer *,
doublecomplex *, doublereal *, integer *, ftnlen, ftnlen),
zdscal_(integer *, doublereal *, doublecomplex *, integer *),
zlaset_(char *, integer *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *, integer *, ftnlen);
/* %----------------------------------------------------% */
/* | 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 & Arrays | */
/* %------------------------% */
/* %----------------------% */
/* | External Subroutines | */
/* %----------------------% */
/* %--------------------% */
/* | External Functions | */
/* %--------------------% */
/* %-----------------------% */
/* | Executable Statements | */
/* %-----------------------% */
/* %-------------------------------% */
/* | Initialize timing statistics | */
/* | & message level for debugging | */
/* %-------------------------------% */
/* Parameter adjustments */
--rwork;
--workl;
--bounds;
--ritz;
h_dim1 = *ldh;
h_offset = 1 + h_dim1;
h__ -= h_offset;
q_dim1 = *ldq;
q_offset = 1 + q_dim1;
q -= q_offset;
/* Function Body */
second_(&t0);
msglvl = debug_1.mceigh;
if (msglvl > 2) {
zmout_(&debug_1.logfil, n, n, &h__[h_offset], ldh, &debug_1.ndigit,
"_neigh: Entering upper Hessenberg matrix H ", (ftnlen)43);
}
/* %----------------------------------------------------------% */
/* | 1. Compute the eigenvalues, the last components of the | */
/* | corresponding Schur vectors and the full Schur form T | */
/* | of the current upper Hessenberg matrix H. | */
/* | zlahqr returns the full Schur form of H | */
/* | in WORKL(1:N**2), and the Schur vectors in q. | */
/* %----------------------------------------------------------% */
zlacpy_("All", n, n, &h__[h_offset], ldh, &workl[1], n, (ftnlen)3);
zlaset_("All", n, n, &c_b2, &c_b1, &q[q_offset], ldq, (ftnlen)3);
zlahqr_(&c_true, &c_true, n, &c__1, n, &workl[1], ldh, &ritz[1], &c__1, n,
&q[q_offset], ldq, ierr);
if (*ierr != 0) {
goto L9000;
}
zcopy_(n, &q[*n - 1 + q_dim1], ldq, &bounds[1], &c__1);
if (msglvl > 1) {
zvout_(&debug_1.logfil, n, &bounds[1], &debug_1.ndigit, "_neigh: las"
"t row of the Schur matrix for H", (ftnlen)42);
}
/* %----------------------------------------------------------% */
/* | 2. Compute the eigenvectors of the full Schur form T and | */
/* | apply the Schur vectors to get the corresponding | */
/* | eigenvectors. | */
/* %----------------------------------------------------------% */
ztrevc_("Right", "Back", select, n, &workl[1], n, vl, n, &q[q_offset],
ldq, n, n, &workl[*n * *n + 1], &rwork[1], ierr, (ftnlen)5, (
ftnlen)4);
if (*ierr != 0) {
goto L9000;
}
/* %------------------------------------------------% */
/* | Scale the returning eigenvectors so that their | */
/* | Euclidean norms are all one. LAPACK subroutine | */
/* | ztrevc returns each eigenvector normalized so | */
/* | that the element of largest magnitude has | */
/* | magnitude 1; here the magnitude of a complex | */
/* | number (x,y) is taken to be |x| + |y|. | */
/* %------------------------------------------------% */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp = dznrm2_(n, &q[j * q_dim1 + 1], &c__1);
d__1 = 1. / temp;
zdscal_(n, &d__1, &q[j * q_dim1 + 1], &c__1);
/* L10: */
}
if (msglvl > 1) {
zcopy_(n, &q[*n + q_dim1], ldq, &workl[1], &c__1);
zvout_(&debug_1.logfil, n, &workl[1], &debug_1.ndigit, "_neigh: Last"
" row of the eigenvector matrix for H", (ftnlen)48);
}
/* %----------------------------% */
/* | Compute the Ritz estimates | */
/* %----------------------------% */
zcopy_(n, &q[*n + q_dim1], n, &bounds[1], &c__1);
zdscal_(n, rnorm, &bounds[1], &c__1);
if (msglvl > 2) {
zvout_(&debug_1.logfil, n, &ritz[1], &debug_1.ndigit, "_neigh: The e"
"igenvalues of H", (ftnlen)28);
zvout_(&debug_1.logfil, n, &bounds[1], &debug_1.ndigit, "_neigh: Rit"
"z estimates for the eigenvalues of H", (ftnlen)47);
}
second_(&t1);
timing_1.tceigh += t1 - t0;
L9000:
return 0;
/* %---------------% */
/* | End of zneigh | */
/* %---------------% */
} /* zneigh_ */
|
