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|
/* arpack/dseupd.f -- translated by f2c (version 20090411).
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
*/
#ifdef __cplusplus
extern "C" {
#endif
#include "v3p_netlib.h"
/* Common Block Declarations */
/*Extern 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_ */
/* Table of constant values */
static doublereal c_b21 = .66666666666666663;
static integer c__1 = 1;
static logical c_true = TRUE_;
static doublereal c_b103 = 1.;
/* \BeginDoc */
/* \Name: dseupd */
/* \Description: */
/* This subroutine returns the converged approximations to eigenvalues */
/* of A*z = lambda*B*z and (optionally): */
/* (1) the corresponding approximate eigenvectors, */
/* (2) an orthonormal (Lanczos) basis for the associated approximate */
/* invariant subspace, */
/* (3) Both. */
/* There is negligible additional cost to obtain eigenvectors. An orthonormal */
/* (Lanczos) basis is always computed. There is an additional storage cost */
/* of n*nev if both are requested (in this case a separate array Z must be */
/* supplied). */
/* These quantities are obtained from the Lanczos factorization computed */
/* by DSAUPD for the linear operator OP prescribed by the MODE selection */
/* (see IPARAM(7) in DSAUPD documentation.) DSAUPD must be called before */
/* this routine is called. These approximate eigenvalues and vectors are */
/* commonly called Ritz values and Ritz vectors respectively. They are */
/* referred to as such in the comments that follow. The computed orthonormal */
/* basis for the invariant subspace corresponding to these Ritz values is */
/* referred to as a Lanczos basis. */
/* See documentation in the header of the subroutine DSAUPD for a definition */
/* of OP as well as other terms and the relation of computed Ritz values */
/* and vectors of OP with respect to the given problem A*z = lambda*B*z. */
/* The approximate eigenvalues of the original problem are returned in */
/* ascending algebraic order. The user may elect to call this routine */
/* once for each desired Ritz vector and store it peripherally if desired. */
/* There is also the option of computing a selected set of these vectors */
/* with a single call. */
/* \Usage: */
/* call dseupd */
/* ( RVEC, HOWMNY, SELECT, D, Z, LDZ, SIGMA, BMAT, N, WHICH, NEV, TOL, */
/* RESID, NCV, V, LDV, IPARAM, IPNTR, WORKD, WORKL, LWORKL, INFO ) */
/* RVEC LOGICAL (INPUT) */
/* Specifies whether Ritz vectors corresponding to the Ritz value */
/* approximations to the eigenproblem A*z = lambda*B*z are computed. */
/* RVEC = .FALSE. Compute Ritz values only. */
/* RVEC = .TRUE. Compute Ritz vectors. */
/* HOWMNY Character*1 (INPUT) */
/* Specifies how many Ritz vectors are wanted and the form of Z */
/* the matrix of Ritz vectors. See remark 1 below. */
/* = 'A': compute NEV Ritz vectors; */
/* = 'S': compute some of the Ritz vectors, specified */
/* by the logical array SELECT. */
/* SELECT Logical array of dimension NEV. (INPUT) */
/* If HOWMNY = 'S', SELECT specifies the Ritz vectors to be */
/* computed. To select the Ritz vector corresponding to a */
/* Ritz value D(j), SELECT(j) must be set to .TRUE.. */
/* If HOWMNY = 'A' , SELECT is not referenced. */
/* D Double precision array of dimension NEV. (OUTPUT) */
/* On exit, D contains the Ritz value approximations to the */
/* eigenvalues of A*z = lambda*B*z. The values are returned */
/* in ascending order. If IPARAM(7) = 3,4,5 then D represents */
/* the Ritz values of OP computed by dsaupd transformed to */
/* those of the original eigensystem A*z = lambda*B*z. If */
/* IPARAM(7) = 1,2 then the Ritz values of OP are the same */
/* as the those of A*z = lambda*B*z. */
/* Z Double precision N by NEV array if HOWMNY = 'A'. (OUTPUT) */
/* On exit, Z contains the B-orthonormal Ritz vectors of the */
/* eigensystem A*z = lambda*B*z corresponding to the Ritz */
/* value approximations. */
/* If RVEC = .FALSE. then Z is not referenced. */
/* NOTE: The array Z may be set equal to first NEV columns of the */
/* Arnoldi/Lanczos basis array V computed by DSAUPD. */
/* LDZ Integer. (INPUT) */
/* The leading dimension of the array Z. If Ritz vectors are */
/* desired, then LDZ .ge. max( 1, N ). In any case, LDZ .ge. 1. */
/* SIGMA Double precision (INPUT) */
/* If IPARAM(7) = 3,4,5 represents the shift. Not referenced if */
/* IPARAM(7) = 1 or 2. */
/* **** The remaining arguments MUST be the same as for the **** */
/* **** call to DNAUPD that was just completed. **** */
/* NOTE: The remaining arguments */
/* BMAT, N, WHICH, NEV, TOL, RESID, NCV, V, LDV, IPARAM, IPNTR, */
/* WORKD, WORKL, LWORKL, INFO */
/* must be passed directly to DSEUPD following the last call */
/* to DSAUPD. These arguments MUST NOT BE MODIFIED between */
/* the the last call to DSAUPD and the call to DSEUPD. */
/* Two of these parameters (WORKL, INFO) are also output parameters: */
/* WORKL Double precision work array of length LWORKL. (OUTPUT/WORKSPACE) */
/* WORKL(1:4*ncv) contains information obtained in */
/* dsaupd. They are not changed by dseupd. */
/* WORKL(4*ncv+1:ncv*ncv+8*ncv) holds the */
/* untransformed Ritz values, the computed error estimates, */
/* and the associated eigenvector matrix of H. */
/* Note: IPNTR(8:10) contains the pointer into WORKL for addresses */
/* of the above information computed by dseupd. */
/* ------------------------------------------------------------- */
/* IPNTR(8): pointer to the NCV RITZ values of the original system. */
/* IPNTR(9): pointer to the NCV corresponding error bounds. */
/* IPNTR(10): pointer to the NCV by NCV matrix of eigenvectors */
/* of the tridiagonal matrix T. Only referenced by */
/* dseupd if RVEC = .TRUE. See Remarks. */
/* ------------------------------------------------------------- */
/* INFO Integer. (OUTPUT) */
/* Error flag on output. */
/* = 0: Normal exit. */
/* = -1: N must be positive. */
/* = -2: NEV must be positive. */
/* = -3: NCV must be greater than NEV and less than or equal to N. */
/* = -5: WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'. */
/* = -6: BMAT must be one of 'I' or 'G'. */
/* = -7: Length of private work WORKL array is not sufficient. */
/* = -8: Error return from trid. eigenvalue calculation; */
/* Information error from LAPACK routine dsteqr. */
/* = -9: Starting vector is zero. */
/* = -10: IPARAM(7) must be 1,2,3,4,5. */
/* = -11: IPARAM(7) = 1 and BMAT = 'G' are incompatible. */
/* = -12: NEV and WHICH = 'BE' are incompatible. */
/* = -14: DSAUPD did not find any eigenvalues to sufficient */
/* accuracy. */
/* = -15: HOWMNY must be one of 'A' or 'S' if RVEC = .true. */
/* = -16: HOWMNY = 'S' not yet implemented */
/* \BeginLib */
/* \References: */
/* 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in */
/* a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992), */
/* pp 357-385. */
/* 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly */
/* Restarted Arnoldi Iteration", Rice University Technical Report */
/* TR95-13, Department of Computational and Applied Mathematics. */
/* 3. B.N. Parlett, "The Symmetric Eigenvalue Problem". Prentice-Hall, */
/* 1980. */
/* 4. B.N. Parlett, B. Nour-Omid, "Towards a Black Box Lanczos Program", */
/* Computer Physics Communications, 53 (1989), pp 169-179. */
/* 5. B. Nour-Omid, B.N. Parlett, T. Ericson, P.S. Jensen, "How to */
/* Implement the Spectral Transformation", Math. Comp., 48 (1987), */
/* pp 663-673. */
/* 6. R.G. Grimes, J.G. Lewis and H.D. Simon, "A Shifted Block Lanczos */
/* Algorithm for Solving Sparse Symmetric Generalized Eigenproblems", */
/* SIAM J. Matr. Anal. Apps., January (1993). */
/* 7. L. Reichel, W.B. Gragg, "Algorithm 686: FORTRAN Subroutines */
/* for Updating the QR decomposition", ACM TOMS, December 1990, */
/* Volume 16 Number 4, pp 369-377. */
/* \Remarks */
/* 1. The converged Ritz values are always returned in increasing */
/* (algebraic) order. */
/* 2. Currently only HOWMNY = 'A' is implemented. It is included at this */
/* stage for the user who wants to incorporate it. */
/* \Routines called: */
/* dsesrt ARPACK routine that sorts an array X, and applies the */
/* corresponding permutation to a matrix A. */
/* dsortr dsortr ARPACK sorting routine. */
/* dgeqr2 LAPACK routine that computes the QR factorization of */
/* a matrix. */
/* dlacpy LAPACK matrix copy routine. */
/* dlamch LAPACK routine that determines machine constants. */
/* dorm2r LAPACK routine that applies an orthogonal matrix in */
/* factored form. */
/* dsteqr LAPACK routine that computes eigenvalues and eigenvectors */
/* of a tridiagonal matrix. */
/* dger Level 2 BLAS rank one update to a matrix. */
/* dcopy Level 1 BLAS that copies one vector to another . */
/* dnrm2 Level 1 BLAS that computes the norm of a vector. */
/* dscal Level 1 BLAS that scales a vector. */
/* dswap Level 1 BLAS that swaps the contents of two vectors. */
/* \Authors */
/* Danny Sorensen Phuong Vu */
/* Richard Lehoucq CRPC / Rice University */
/* Chao Yang Houston, Texas */
/* Dept. of Computational & */
/* Applied Mathematics */
/* Rice University */
/* Houston, Texas */
/* \Revision history: */
/* 12/15/93: Version ' 2.1' */
/* \SCCS Information: @(#) */
/* FILE: seupd.F SID: 2.7 DATE OF SID: 8/27/96 RELEASE: 2 */
/* \EndLib */
/* ----------------------------------------------------------------------- */
/*< >*/
/* Subroutine */ int dseupd_(logical *rvec, char *howmny, logical *select,
doublereal *d__, doublereal *z__, integer *ldz, doublereal *sigma,
char *bmat, integer *n, char *which, integer *nev, doublereal *tol,
doublereal *resid, integer *ncv, doublereal *v, integer *ldv, integer
*iparam, integer *ipntr, doublereal *workd, doublereal *workl,
integer *lworkl, integer *info, ftnlen howmny_len, ftnlen bmat_len,
ftnlen which_len)
{
/* System generated locals */
integer v_dim1, v_offset, z_dim1, z_offset, i__1;
doublereal d__1, d__2, d__3;
/* Builtin functions */
integer s_cmp(char *, char *, ftnlen, ftnlen);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
double pow_dd(doublereal *, doublereal *);
/* Local variables */
integer j, k, ih, iq, iw;
/* doublereal kv[2]; */
integer ibd, ihb, ihd, ldh, ilg, ldq, ism, irz;
extern /* Subroutine */ int dger_(integer *, integer *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *);
integer mode;
doublereal eps23;
integer ierr;
doublereal temp;
integer next;
char type__[6];
integer ritz;
extern doublereal dnrm2_(integer *, doublereal *, integer *);
extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *,
integer *);
logical reord;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *);
integer nconv;
doublereal rnorm;
extern /* Subroutine */ int dgeqr2_(integer *, integer *, doublereal *,
integer *, doublereal *, doublereal *, integer *);
doublereal bnorm2;
extern /* Subroutine */ int dorm2r_(char *, char *, integer *, integer *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, ftnlen, ftnlen);
doublereal thres1, thres2;
extern doublereal dlamch_(char *, ftnlen);
integer bounds, /* msglvl, */ ktrord;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, ftnlen),
dsesrt_(char *, logical *, integer *, doublereal *, integer *,
doublereal *, integer *, ftnlen), dsteqr_(char *, integer *,
doublereal *, doublereal *, doublereal *, integer *, doublereal *,
integer *, ftnlen), dsortr_(char *, logical *, integer *,
doublereal *, doublereal *, ftnlen);
doublereal tempbnd;
integer leftptr, rghtptr;
/* %----------------------------------------------------% */
/* | Include files for debugging and timing information | */
/* %----------------------------------------------------% */
/*< include 'debug.h' >*/
/*< include 'stat.h' >*/
/* \SCCS Information: @(#) */
/* FILE: debug.h SID: 2.3 DATE OF SID: 11/16/95 RELEASE: 2 */
/* %---------------------------------% */
/* | See debug.doc for documentation | */
/* %---------------------------------% */
/*< >*/
/*< character bmat, howmny, which*2 >*/
/* %------------------% */
/* | Scalar Arguments | */
/* %------------------% */
/* %--------------------------------% */
/* | See stat.doc for documentation | */
/* %--------------------------------% */
/* \SCCS Information: @(#) */
/* FILE: stat.h SID: 2.2 DATE OF SID: 11/16/95 RELEASE: 2 */
/*< save t0, t1, t2, t3, t4, t5 >*/
/*< integer nopx, nbx, nrorth, nitref, nrstrt >*/
/*< >*/
/*< >*/
/*< logical rvec, select(ncv) >*/
/*< integer info, ldz, ldv, lworkl, n, ncv, nev >*/
/*< >*/
/* %-----------------% */
/* | Array Arguments | */
/* %-----------------% */
/*< integer iparam(7), ipntr(11) >*/
/*< >*/
/* %------------% */
/* | Parameters | */
/* %------------% */
/*< >*/
/*< parameter (one = 1.0D+0, zero = 0.0D+0) >*/
/* %---------------% */
/* | Local Scalars | */
/* %---------------% */
/*< character type*6 >*/
/*< >*/
/*< >*/
/*< logical reord >*/
/* %--------------% */
/* | Local Arrays | */
/* %--------------% */
/*< >*/
/* %----------------------% */
/* | External Subroutines | */
/* %----------------------% */
/*< >*/
/* %--------------------% */
/* | External Functions | */
/* %--------------------% */
/*< >*/
/*< external dnrm2, dlamch >*/
/* %---------------------% */
/* | Intrinsic Functions | */
/* %---------------------% */
/*< intrinsic min >*/
/* %-----------------------% */
/* | Executable Statements | */
/* %-----------------------% */
/* %------------------------% */
/* | Set default parameters | */
/* %------------------------% */
/*< msglvl = mseupd >*/
/* Parameter adjustments */
--workd;
--resid;
z_dim1 = *ldz;
z_offset = 1 + z_dim1;
z__ -= z_offset;
--d__;
--select;
v_dim1 = *ldv;
v_offset = 1 + v_dim1;
v -= v_offset;
--iparam;
--ipntr;
--workl;
/* Function Body */
/* msglvl = debug_1.mseupd; */
/*< mode = iparam(7) >*/
mode = iparam[7];
/*< nconv = iparam(5) >*/
nconv = iparam[5];
/*< info = 0 >*/
*info = 0;
/* %--------------% */
/* | Quick return | */
/* %--------------% */
/*< if (nconv .eq. 0) go to 9000 >*/
if (nconv == 0) {
goto L9000;
}
/*< ierr = 0 >*/
ierr = 0;
/*< if (nconv .le. 0) ierr = -14 >*/
if (nconv <= 0) {
ierr = -14;
}
/*< if (n .le. 0) ierr = -1 >*/
if (*n <= 0) {
ierr = -1;
}
/*< if (nev .le. 0) ierr = -2 >*/
if (*nev <= 0) {
ierr = -2;
}
/*< if (ncv .le. nev .or. ncv .gt. n) ierr = -3 >*/
if (*ncv <= *nev || *ncv > *n) {
ierr = -3;
}
/*< >*/
if (s_cmp(which, "LM", (ftnlen)2, (ftnlen)2) != 0 && s_cmp(which, "SM", (
ftnlen)2, (ftnlen)2) != 0 && s_cmp(which, "LA", (ftnlen)2, (
ftnlen)2) != 0 && s_cmp(which, "SA", (ftnlen)2, (ftnlen)2) != 0 &&
s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) != 0) {
ierr = -5;
}
/*< if (bmat .ne. 'I' .and. bmat .ne. 'G') ierr = -6 >*/
if (*(unsigned char *)bmat != 'I' && *(unsigned char *)bmat != 'G') {
ierr = -6;
}
/*< >*/
if (*(unsigned char *)howmny != 'A' && *(unsigned char *)howmny != 'P' &&
*(unsigned char *)howmny != 'S' && *rvec) {
ierr = -15;
}
/*< if (rvec .and. howmny .eq. 'S') ierr = -16 >*/
if (*rvec && *(unsigned char *)howmny == 'S') {
ierr = -16;
}
/*< if (rvec .and. lworkl .lt. ncv**2+8*ncv) ierr = -7 >*/
/* Computing 2nd power */
i__1 = *ncv;
if (*rvec && *lworkl < i__1 * i__1 + (*ncv << 3)) {
ierr = -7;
}
/*< if (mode .eq. 1 .or. mode .eq. 2) then >*/
if (mode == 1 || mode == 2) {
/*< type = 'REGULR' >*/
s_copy(type__, "REGULR", (ftnlen)6, (ftnlen)6);
/*< else if (mode .eq. 3 ) then >*/
} else if (mode == 3) {
/*< type = 'SHIFTI' >*/
s_copy(type__, "SHIFTI", (ftnlen)6, (ftnlen)6);
/*< else if (mode .eq. 4 ) then >*/
} else if (mode == 4) {
/*< type = 'BUCKLE' >*/
s_copy(type__, "BUCKLE", (ftnlen)6, (ftnlen)6);
/*< else if (mode .eq. 5 ) then >*/
} else if (mode == 5) {
/*< type = 'CAYLEY' >*/
s_copy(type__, "CAYLEY", (ftnlen)6, (ftnlen)6);
/*< else >*/
} else {
/*< ierr = -10 >*/
ierr = -10;
/*< end if >*/
}
/*< if (mode .eq. 1 .and. bmat .eq. 'G') ierr = -11 >*/
if (mode == 1 && *(unsigned char *)bmat == 'G') {
ierr = -11;
}
/*< if (nev .eq. 1 .and. which .eq. 'BE') ierr = -12 >*/
if (*nev == 1 && s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {
ierr = -12;
}
/* %------------% */
/* | Error Exit | */
/* %------------% */
/*< if (ierr .ne. 0) then >*/
if (ierr != 0) {
/*< info = ierr >*/
*info = ierr;
/*< go to 9000 >*/
goto L9000;
/*< end if >*/
}
/* %-------------------------------------------------------% */
/* | Pointer into WORKL for address of H, RITZ, BOUNDS, Q | */
/* | etc... and the remaining workspace. | */
/* | Also update pointer to be used on output. | */
/* | Memory is laid out as follows: | */
/* | workl(1:2*ncv) := generated tridiagonal matrix H | */
/* | The subdiagonal is stored in workl(2:ncv). | */
/* | The dead spot is workl(1) but upon exiting | */
/* | dsaupd stores the B-norm of the last residual | */
/* | vector in workl(1). We use this !!! | */
/* | workl(2*ncv+1:2*ncv+ncv) := ritz values | */
/* | The wanted values are in the first NCONV spots. | */
/* | workl(3*ncv+1:3*ncv+ncv) := computed Ritz estimates | */
/* | The wanted values are in the first NCONV spots. | */
/* | NOTE: workl(1:4*ncv) is set by dsaupd and is not | */
/* | modified by dseupd. | */
/* %-------------------------------------------------------% */
/* %-------------------------------------------------------% */
/* | The following is used and set by dseupd. | */
/* | workl(4*ncv+1:4*ncv+ncv) := used as workspace during | */
/* | computation of the eigenvectors of H. Stores | */
/* | the diagonal of H. Upon EXIT contains the NCV | */
/* | Ritz values of the original system. The first | */
/* | NCONV spots have the wanted values. If MODE = | */
/* | 1 or 2 then will equal workl(2*ncv+1:3*ncv). | */
/* | workl(5*ncv+1:5*ncv+ncv) := used as workspace during | */
/* | computation of the eigenvectors of H. Stores | */
/* | the subdiagonal of H. Upon EXIT contains the | */
/* | NCV corresponding Ritz estimates of the | */
/* | original system. The first NCONV spots have the | */
/* | wanted values. If MODE = 1,2 then will equal | */
/* | workl(3*ncv+1:4*ncv). | */
/* | workl(6*ncv+1:6*ncv+ncv*ncv) := orthogonal Q that is | */
/* | the eigenvector matrix for H as returned by | */
/* | dsteqr. Not referenced if RVEC = .False. | */
/* | Ordering follows that of workl(4*ncv+1:5*ncv) | */
/* | workl(6*ncv+ncv*ncv+1:6*ncv+ncv*ncv+2*ncv) := | */
/* | Workspace. Needed by dsteqr and by dseupd. | */
/* | GRAND total of NCV*(NCV+8) locations. | */
/* %-------------------------------------------------------% */
/*< ih = ipntr(5) >*/
ih = ipntr[5];
/*< ritz = ipntr(6) >*/
ritz = ipntr[6];
/*< bounds = ipntr(7) >*/
bounds = ipntr[7];
/*< ldh = ncv >*/
ldh = *ncv;
/*< ldq = ncv >*/
ldq = *ncv;
/*< ihd = bounds + ldh >*/
ihd = bounds + ldh;
/*< ihb = ihd + ldh >*/
ihb = ihd + ldh;
/*< iq = ihb + ldh >*/
iq = ihb + ldh;
/*< iw = iq + ldh*ncv >*/
iw = iq + ldh * *ncv;
/*< next = iw + 2*ncv >*/
next = iw + (*ncv << 1);
/*< ipntr(4) = next >*/
ipntr[4] = next;
/*< ipntr(8) = ihd >*/
ipntr[8] = ihd;
/*< ipntr(9) = ihb >*/
ipntr[9] = ihb;
/*< ipntr(10) = iq >*/
ipntr[10] = iq;
/* %----------------------------------------% */
/* | irz points to the Ritz values computed | */
/* | by _seigt before exiting _saup2. | */
/* | ibd points to the Ritz estimates | */
/* | computed by _seigt before exiting | */
/* | _saup2. | */
/* %----------------------------------------% */
/*< irz = ipntr(11)+ncv >*/
irz = ipntr[11] + *ncv;
/*< ibd = irz+ncv >*/
ibd = irz + *ncv;
/* %---------------------------------% */
/* | Set machine dependent constant. | */
/* %---------------------------------% */
/*< eps23 = dlamch('Epsilon-Machine') >*/
eps23 = dlamch_("Epsilon-Machine", (ftnlen)15);
/*< eps23 = eps23**(2.0D+0 / 3.0D+0) >*/
eps23 = pow_dd(&eps23, &c_b21);
/* %---------------------------------------% */
/* | RNORM is B-norm of the RESID(1:N). | */
/* | BNORM2 is the 2 norm of B*RESID(1:N). | */
/* | Upon exit of dsaupd WORKD(1:N) has | */
/* | B*RESID(1:N). | */
/* %---------------------------------------% */
/*< rnorm = workl(ih) >*/
rnorm = workl[ih];
/*< if (bmat .eq. 'I') then >*/
if (*(unsigned char *)bmat == 'I') {
/*< bnorm2 = rnorm >*/
bnorm2 = rnorm;
/*< else if (bmat .eq. 'G') then >*/
} else if (*(unsigned char *)bmat == 'G') {
/*< bnorm2 = dnrm2(n, workd, 1) >*/
bnorm2 = dnrm2_(n, &workd[1], &c__1);
/*< end if >*/
}
/*< if (rvec) then >*/
if (*rvec) {
/* %------------------------------------------------% */
/* | Get the converged Ritz value on the boundary. | */
/* | This value will be used to dermine whether we | */
/* | need to reorder the eigenvalues and | */
/* | eigenvectors comupted by _steqr, and is | */
/* | referred to as the "threshold" value. | */
/* | | */
/* | A Ritz value gamma is said to be a wanted | */
/* | one, if | */
/* | abs(gamma) .ge. threshold, when WHICH = 'LM'; | */
/* | abs(gamma) .le. threshold, when WHICH = 'SM'; | */
/* | gamma .ge. threshold, when WHICH = 'LA'; | */
/* | gamma .le. threshold, when WHICH = 'SA'; | */
/* | gamma .le. thres1 .or. gamma .ge. thres2 | */
/* | when WHICH = 'BE'; | */
/* | | */
/* | Note: converged Ritz values and associated | */
/* | Ritz estimates have been placed in the first | */
/* | NCONV locations in workl(ritz) and | */
/* | workl(bounds) respectively. They have been | */
/* | sorted (in _saup2) according to the WHICH | */
/* | selection criterion. (Except in the case | */
/* | WHICH = 'BE', they are sorted in an increasing | */
/* | order.) | */
/* %------------------------------------------------% */
/*< >*/
if (s_cmp(which, "LM", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(which,
"SM", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(which, "LA", (
ftnlen)2, (ftnlen)2) == 0 || s_cmp(which, "SA", (ftnlen)2, (
ftnlen)2) == 0) {
/*< thres1 = workl(ritz) >*/
thres1 = workl[ritz];
/* if (msglvl .gt. 2) then */
/* call dvout(logfil, 1, thres1, ndigit, */
/* & '_seupd: Threshold eigenvalue used for re-ordering') */
/* end if */
/*< else if (which .eq. 'BE') then >*/
} else if (s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {
/* %------------------------------------------------% */
/* | Ritz values returned from _saup2 have been | */
/* | sorted in increasing order. Thus two | */
/* | "threshold" values (one for the small end, one | */
/* | for the large end) are in the middle. | */
/* %------------------------------------------------% */
/*< ism = max(nev,nconv) / 2 >*/
ism = max(*nev,nconv) / 2;
/*< ilg = ism + 1 >*/
ilg = ism + 1;
/*< thres1 = workl(ism) >*/
thres1 = workl[ism];
/*< thres2 = workl(ilg) >*/
thres2 = workl[ilg];
/*< if (msglvl .gt. 2) then >*/
/* if (msglvl > 2) { */
/*< kv(1) = thres1 >*/
/* kv[0] = thres1; */
/*< kv(2) = thres2 >*/
/* kv[1] = thres2; */
/* call dvout(logfil, 2, kv, ndigit, */
/* & '_seupd: Threshold eigenvalues used for re-ordering') */
/*< end if >*/
/* } */
/*< end if >*/
}
/* %----------------------------------------------------------% */
/* | Check to see if all converged Ritz values appear within | */
/* | the first NCONV diagonal elements returned from _seigt. | */
/* | This is done in the following way: | */
/* | | */
/* | 1) For each Ritz value obtained from _seigt, compare it | */
/* | with the threshold Ritz value computed above to | */
/* | determine whether it is a wanted one. | */
/* | | */
/* | 2) If it is wanted, then check the corresponding Ritz | */
/* | estimate to see if it has converged. If it has, set | */
/* | corresponding entry in the logical array SELECT to | */
/* | .TRUE.. | */
/* | | */
/* | If SELECT(j) = .TRUE. and j > NCONV, then there is a | */
/* | converged Ritz value that does not appear at the top of | */
/* | the diagonal matrix computed by _seigt in _saup2. | */
/* | Reordering is needed. | */
/* %----------------------------------------------------------% */
/*< reord = .false. >*/
reord = FALSE_;
/*< ktrord = 0 >*/
ktrord = 0;
/*< do 10 j = 0, ncv-1 >*/
i__1 = *ncv - 1;
for (j = 0; j <= i__1; ++j) {
/*< select(j+1) = .false. >*/
select[j + 1] = FALSE_;
/*< if (which .eq. 'LM') then >*/
if (s_cmp(which, "LM", (ftnlen)2, (ftnlen)2) == 0) {
/*< if (abs(workl(irz+j)) .ge. abs(thres1)) then >*/
if ((d__1 = workl[irz + j], abs(d__1)) >= abs(thres1)) {
/*< tempbnd = max( eps23, abs(workl(irz+j)) ) >*/
/* Computing MAX */
d__2 = eps23, d__3 = (d__1 = workl[irz + j], abs(d__1));
tempbnd = max(d__2,d__3);
/*< if (workl(ibd+j) .le. tol*tempbnd) then >*/
if (workl[ibd + j] <= *tol * tempbnd) {
/*< select(j+1) = .true. >*/
select[j + 1] = TRUE_;
/*< end if >*/
}
/*< end if >*/
}
/*< else if (which .eq. 'SM') then >*/
} else if (s_cmp(which, "SM", (ftnlen)2, (ftnlen)2) == 0) {
/*< if (abs(workl(irz+j)) .le. abs(thres1)) then >*/
if ((d__1 = workl[irz + j], abs(d__1)) <= abs(thres1)) {
/*< tempbnd = max( eps23, abs(workl(irz+j)) ) >*/
/* Computing MAX */
d__2 = eps23, d__3 = (d__1 = workl[irz + j], abs(d__1));
tempbnd = max(d__2,d__3);
/*< if (workl(ibd+j) .le. tol*tempbnd) then >*/
if (workl[ibd + j] <= *tol * tempbnd) {
/*< select(j+1) = .true. >*/
select[j + 1] = TRUE_;
/*< end if >*/
}
/*< end if >*/
}
/*< else if (which .eq. 'LA') then >*/
} else if (s_cmp(which, "LA", (ftnlen)2, (ftnlen)2) == 0) {
/*< if (workl(irz+j) .ge. thres1) then >*/
if (workl[irz + j] >= thres1) {
/*< tempbnd = max( eps23, abs(workl(irz+j)) ) >*/
/* Computing MAX */
d__2 = eps23, d__3 = (d__1 = workl[irz + j], abs(d__1));
tempbnd = max(d__2,d__3);
/*< if (workl(ibd+j) .le. tol*tempbnd) then >*/
if (workl[ibd + j] <= *tol * tempbnd) {
/*< select(j+1) = .true. >*/
select[j + 1] = TRUE_;
/*< end if >*/
}
/*< end if >*/
}
/*< else if (which .eq. 'SA') then >*/
} else if (s_cmp(which, "SA", (ftnlen)2, (ftnlen)2) == 0) {
/*< if (workl(irz+j) .le. thres1) then >*/
if (workl[irz + j] <= thres1) {
/*< tempbnd = max( eps23, abs(workl(irz+j)) ) >*/
/* Computing MAX */
d__2 = eps23, d__3 = (d__1 = workl[irz + j], abs(d__1));
tempbnd = max(d__2,d__3);
/*< if (workl(ibd+j) .le. tol*tempbnd) then >*/
if (workl[ibd + j] <= *tol * tempbnd) {
/*< select(j+1) = .true. >*/
select[j + 1] = TRUE_;
/*< end if >*/
}
/*< end if >*/
}
/*< else if (which .eq. 'BE') then >*/
} else if (s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {
/*< >*/
if (workl[irz + j] <= thres1 || workl[irz + j] >= thres2) {
/*< tempbnd = max( eps23, abs(workl(irz+j)) ) >*/
/* Computing MAX */
d__2 = eps23, d__3 = (d__1 = workl[irz + j], abs(d__1));
tempbnd = max(d__2,d__3);
/*< if (workl(ibd+j) .le. tol*tempbnd) then >*/
if (workl[ibd + j] <= *tol * tempbnd) {
/*< select(j+1) = .true. >*/
select[j + 1] = TRUE_;
/*< end if >*/
}
/*< end if >*/
}
/*< end if >*/
}
/*< if (j+1 .gt. nconv ) reord = select(j+1) .or. reord >*/
if (j + 1 > nconv) {
reord = select[j + 1] || reord;
}
/*< if (select(j+1)) ktrord = ktrord + 1 >*/
if (select[j + 1]) {
++ktrord;
}
/*< 10 continue >*/
/* L10: */
}
/* %-------------------------------------------% */
/* | If KTRORD .ne. NCONV, something is wrong. | */
/* %-------------------------------------------% */
/* if (msglvl .gt. 2) then */
/* call ivout(logfil, 1, ktrord, ndigit, */
/* & '_seupd: Number of specified eigenvalues') */
/* call ivout(logfil, 1, nconv, ndigit, */
/* & '_seupd: Number of "converged" eigenvalues') */
/* end if */
/* %-----------------------------------------------------------% */
/* | Call LAPACK routine _steqr to compute the eigenvalues and | */
/* | eigenvectors of the final symmetric tridiagonal matrix H. | */
/* | Initialize the eigenvector matrix Q to the identity. | */
/* %-----------------------------------------------------------% */
/*< call dcopy (ncv-1, workl(ih+1), 1, workl(ihb), 1) >*/
i__1 = *ncv - 1;
dcopy_(&i__1, &workl[ih + 1], &c__1, &workl[ihb], &c__1);
/*< call dcopy (ncv, workl(ih+ldh), 1, workl(ihd), 1) >*/
dcopy_(ncv, &workl[ih + ldh], &c__1, &workl[ihd], &c__1);
/*< >*/
dsteqr_("Identity", ncv, &workl[ihd], &workl[ihb], &workl[iq], &ldq, &
workl[iw], &ierr, (ftnlen)8);
/*< if (ierr .ne. 0) then >*/
if (ierr != 0) {
/*< info = -8 >*/
*info = -8;
/*< go to 9000 >*/
goto L9000;
/*< end if >*/
}
/*< if (msglvl .gt. 1) then >*/
/* if (msglvl > 1) { */
/*< call dcopy (ncv, workl(iq+ncv-1), ldq, workl(iw), 1) >*/
/* dcopy_(ncv, &workl[iq + *ncv - 1], &ldq, &workl[iw], &c__1); */
/* call dvout (logfil, ncv, workl(ihd), ndigit, */
/* & '_seupd: NCV Ritz values of the final H matrix') */
/* call dvout (logfil, ncv, workl(iw), ndigit, */
/* & '_seupd: last row of the eigenvector matrix for H') */
/*< end if >*/
/* } */
/*< if (reord) then >*/
if (reord) {
/* %---------------------------------------------% */
/* | Reordered the eigenvalues and eigenvectors | */
/* | computed by _steqr so that the "converged" | */
/* | eigenvalues appear in the first NCONV | */
/* | positions of workl(ihd), and the associated | */
/* | eigenvectors appear in the first NCONV | */
/* | columns. | */
/* %---------------------------------------------% */
/*< leftptr = 1 >*/
leftptr = 1;
/*< rghtptr = ncv >*/
rghtptr = *ncv;
/*< if (ncv .eq. 1) go to 30 >*/
if (*ncv == 1) {
goto L30;
}
/*< 20 if (select(leftptr)) then >*/
L20:
if (select[leftptr]) {
/* %-------------------------------------------% */
/* | Search, from the left, for the first Ritz | */
/* | value that has not converged. | */
/* %-------------------------------------------% */
/*< leftptr = leftptr + 1 >*/
++leftptr;
/*< else if ( .not. select(rghtptr)) then >*/
} else if (! select[rghtptr]) {
/* %----------------------------------------------% */
/* | Search, from the right, the first Ritz value | */
/* | that has converged. | */
/* %----------------------------------------------% */
/*< rghtptr = rghtptr - 1 >*/
--rghtptr;
/*< else >*/
} else {
/* %----------------------------------------------% */
/* | Swap the Ritz value on the left that has not | */
/* | converged with the Ritz value on the right | */
/* | that has converged. Swap the associated | */
/* | eigenvector of the tridiagonal matrix H as | */
/* | well. | */
/* %----------------------------------------------% */
/*< temp = workl(ihd+leftptr-1) >*/
temp = workl[ihd + leftptr - 1];
/*< workl(ihd+leftptr-1) = workl(ihd+rghtptr-1) >*/
workl[ihd + leftptr - 1] = workl[ihd + rghtptr - 1];
/*< workl(ihd+rghtptr-1) = temp >*/
workl[ihd + rghtptr - 1] = temp;
/*< >*/
dcopy_(ncv, &workl[iq + *ncv * (leftptr - 1)], &c__1, &workl[
iw], &c__1);
/*< >*/
dcopy_(ncv, &workl[iq + *ncv * (rghtptr - 1)], &c__1, &workl[
iq + *ncv * (leftptr - 1)], &c__1);
/*< >*/
dcopy_(ncv, &workl[iw], &c__1, &workl[iq + *ncv * (rghtptr -
1)], &c__1);
/*< leftptr = leftptr + 1 >*/
++leftptr;
/*< rghtptr = rghtptr - 1 >*/
--rghtptr;
/*< end if >*/
}
/*< if (leftptr .lt. rghtptr) go to 20 >*/
if (leftptr < rghtptr) {
goto L20;
}
/*< 30 end if >*/
L30:
;
}
/* if (msglvl .gt. 2) then */
/* call dvout (logfil, ncv, workl(ihd), ndigit, */
/* & '_seupd: The eigenvalues of H--reordered') */
/* end if */
/* %----------------------------------------% */
/* | Load the converged Ritz values into D. | */
/* %----------------------------------------% */
/*< call dcopy(nconv, workl(ihd), 1, d, 1) >*/
dcopy_(&nconv, &workl[ihd], &c__1, &d__[1], &c__1);
/*< else >*/
} else {
/* %-----------------------------------------------------% */
/* | Ritz vectors not required. Load Ritz values into D. | */
/* %-----------------------------------------------------% */
/*< call dcopy (nconv, workl(ritz), 1, d, 1) >*/
dcopy_(&nconv, &workl[ritz], &c__1, &d__[1], &c__1);
/*< call dcopy (ncv, workl(ritz), 1, workl(ihd), 1) >*/
dcopy_(ncv, &workl[ritz], &c__1, &workl[ihd], &c__1);
/*< end if >*/
}
/* %------------------------------------------------------------------% */
/* | Transform the Ritz values and possibly vectors and corresponding | */
/* | Ritz estimates of OP to those of A*x=lambda*B*x. The Ritz values | */
/* | (and corresponding data) are returned in ascending order. | */
/* %------------------------------------------------------------------% */
/*< if (type .eq. 'REGULR') then >*/
if (s_cmp(type__, "REGULR", (ftnlen)6, (ftnlen)6) == 0) {
/* %---------------------------------------------------------% */
/* | Ascending sort of wanted Ritz values, vectors and error | */
/* | bounds. Not necessary if only Ritz values are desired. | */
/* %---------------------------------------------------------% */
/*< if (rvec) then >*/
if (*rvec) {
/*< call dsesrt ('LA', rvec , nconv, d, ncv, workl(iq), ldq) >*/
dsesrt_("LA", rvec, &nconv, &d__[1], ncv, &workl[iq], &ldq, (
ftnlen)2);
/*< else >*/
} else {
/*< call dcopy (ncv, workl(bounds), 1, workl(ihb), 1) >*/
dcopy_(ncv, &workl[bounds], &c__1, &workl[ihb], &c__1);
/*< end if >*/
}
/*< else >*/
} else {
/* %-------------------------------------------------------------% */
/* | * Make a copy of all the Ritz values. | */
/* | * Transform the Ritz values back to the original system. | */
/* | For TYPE = 'SHIFTI' the transformation is | */
/* | lambda = 1/theta + sigma | */
/* | For TYPE = 'BUCKLE' the transformation is | */
/* | lambda = sigma * theta / ( theta - 1 ) | */
/* | For TYPE = 'CAYLEY' the transformation is | */
/* | lambda = sigma * (theta + 1) / (theta - 1 ) | */
/* | where the theta are the Ritz values returned by dsaupd. | */
/* | NOTES: | */
/* | *The Ritz vectors are not affected by the transformation. | */
/* | They are only reordered. | */
/* %-------------------------------------------------------------% */
/*< call dcopy (ncv, workl(ihd), 1, workl(iw), 1) >*/
dcopy_(ncv, &workl[ihd], &c__1, &workl[iw], &c__1);
/*< if (type .eq. 'SHIFTI') then >*/
if (s_cmp(type__, "SHIFTI", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 40 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< workl(ihd+k-1) = one / workl(ihd+k-1) + sigma >*/
workl[ihd + k - 1] = 1. / workl[ihd + k - 1] + *sigma;
/*< 40 continue >*/
/* L40: */
}
/*< else if (type .eq. 'BUCKLE') then >*/
} else if (s_cmp(type__, "BUCKLE", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 50 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< >*/
workl[ihd + k - 1] = *sigma * workl[ihd + k - 1] / (workl[ihd
+ k - 1] - 1.);
/*< 50 continue >*/
/* L50: */
}
/*< else if (type .eq. 'CAYLEY') then >*/
} else if (s_cmp(type__, "CAYLEY", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 60 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< >*/
workl[ihd + k - 1] = *sigma * (workl[ihd + k - 1] + 1.) / (
workl[ihd + k - 1] - 1.);
/*< 60 continue >*/
/* L60: */
}
/*< end if >*/
}
/* %-------------------------------------------------------------% */
/* | * Store the wanted NCONV lambda values into D. | */
/* | * Sort the NCONV wanted lambda in WORKL(IHD:IHD+NCONV-1) | */
/* | into ascending order and apply sort to the NCONV theta | */
/* | values in the transformed system. We'll need this to | */
/* | compute Ritz estimates in the original system. | */
/* | * Finally sort the lambda's into ascending order and apply | */
/* | to Ritz vectors if wanted. Else just sort lambda's into | */
/* | ascending order. | */
/* | NOTES: | */
/* | *workl(iw:iw+ncv-1) contain the theta ordered so that they | */
/* | match the ordering of the lambda. We'll use them again for | */
/* | Ritz vector purification. | */
/* %-------------------------------------------------------------% */
/*< call dcopy (nconv, workl(ihd), 1, d, 1) >*/
dcopy_(&nconv, &workl[ihd], &c__1, &d__[1], &c__1);
/*< call dsortr ('LA', .true., nconv, workl(ihd), workl(iw)) >*/
dsortr_("LA", &c_true, &nconv, &workl[ihd], &workl[iw], (ftnlen)2);
/*< if (rvec) then >*/
if (*rvec) {
/*< call dsesrt ('LA', rvec , nconv, d, ncv, workl(iq), ldq) >*/
dsesrt_("LA", rvec, &nconv, &d__[1], ncv, &workl[iq], &ldq, (
ftnlen)2);
/*< else >*/
} else {
/*< call dcopy (ncv, workl(bounds), 1, workl(ihb), 1) >*/
dcopy_(ncv, &workl[bounds], &c__1, &workl[ihb], &c__1);
/*< call dscal (ncv, bnorm2/rnorm, workl(ihb), 1) >*/
d__1 = bnorm2 / rnorm;
dscal_(ncv, &d__1, &workl[ihb], &c__1);
/*< call dsortr ('LA', .true., nconv, d, workl(ihb)) >*/
dsortr_("LA", &c_true, &nconv, &d__[1], &workl[ihb], (ftnlen)2);
/*< end if >*/
}
/*< end if >*/
}
/* %------------------------------------------------% */
/* | Compute the Ritz vectors. Transform the wanted | */
/* | eigenvectors of the symmetric tridiagonal H by | */
/* | the Lanczos basis matrix V. | */
/* %------------------------------------------------% */
/*< if (rvec .and. howmny .eq. 'A') then >*/
if (*rvec && *(unsigned char *)howmny == 'A') {
/* %----------------------------------------------------------% */
/* | Compute the QR factorization of the matrix representing | */
/* | the wanted invariant subspace located in the first NCONV | */
/* | columns of workl(iq,ldq). | */
/* %----------------------------------------------------------% */
/*< >*/
dgeqr2_(ncv, &nconv, &workl[iq], &ldq, &workl[iw + *ncv], &workl[ihb],
&ierr);
/* %--------------------------------------------------------% */
/* | * Postmultiply V by Q. | */
/* | * Copy the first NCONV columns of VQ into Z. | */
/* | The N by NCONV matrix Z is now a matrix representation | */
/* | of the approximate invariant subspace associated with | */
/* | the Ritz values in workl(ihd). | */
/* %--------------------------------------------------------% */
/*< >*/
dorm2r_("Right", "Notranspose", n, ncv, &nconv, &workl[iq], &ldq, &
workl[iw + *ncv], &v[v_offset], ldv, &workd[*n + 1], &ierr, (
ftnlen)5, (ftnlen)11);
/*< call dlacpy ('All', n, nconv, v, ldv, z, ldz) >*/
dlacpy_("All", n, &nconv, &v[v_offset], ldv, &z__[z_offset], ldz, (
ftnlen)3);
/* %-----------------------------------------------------% */
/* | In order to compute the Ritz estimates for the Ritz | */
/* | values in both systems, need the last row of the | */
/* | eigenvector matrix. Remember, it's in factored form | */
/* %-----------------------------------------------------% */
/*< do 65 j = 1, ncv-1 >*/
i__1 = *ncv - 1;
for (j = 1; j <= i__1; ++j) {
/*< workl(ihb+j-1) = zero >*/
workl[ihb + j - 1] = 0.;
/*< 65 continue >*/
/* L65: */
}
/*< workl(ihb+ncv-1) = one >*/
workl[ihb + *ncv - 1] = 1.;
/*< >*/
dorm2r_("Left", "Transpose", ncv, &c__1, &nconv, &workl[iq], &ldq, &
workl[iw + *ncv], &workl[ihb], ncv, &temp, &ierr, (ftnlen)4, (
ftnlen)9);
/*< else if (rvec .and. howmny .eq. 'S') then >*/
} else if (*rvec && *(unsigned char *)howmny == 'S') {
/* Not yet implemented. See remark 2 above. */
/*< end if >*/
}
/*< if (type .eq. 'REGULR' .and. rvec) then >*/
if (s_cmp(type__, "REGULR", (ftnlen)6, (ftnlen)6) == 0 && *rvec) {
/*< do 70 j=1, ncv >*/
i__1 = *ncv;
for (j = 1; j <= i__1; ++j) {
/*< workl(ihb+j-1) = rnorm * abs( workl(ihb+j-1) ) >*/
workl[ihb + j - 1] = rnorm * (d__1 = workl[ihb + j - 1], abs(d__1)
);
/*< 70 continue >*/
/* L70: */
}
/*< else if (type .ne. 'REGULR' .and. rvec) then >*/
} else if (s_cmp(type__, "REGULR", (ftnlen)6, (ftnlen)6) != 0 && *rvec) {
/* %-------------------------------------------------% */
/* | * Determine Ritz estimates of the theta. | */
/* | If RVEC = .true. then compute Ritz estimates | */
/* | of the theta. | */
/* | If RVEC = .false. then copy Ritz estimates | */
/* | as computed by dsaupd. | */
/* | * Determine Ritz estimates of the lambda. | */
/* %-------------------------------------------------% */
/*< call dscal (ncv, bnorm2, workl(ihb), 1) >*/
dscal_(ncv, &bnorm2, &workl[ihb], &c__1);
/*< if (type .eq. 'SHIFTI') then >*/
if (s_cmp(type__, "SHIFTI", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 80 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< workl(ihb+k-1) = abs( workl(ihb+k-1) ) / workl(iw+k-1)**2 >*/
/* Computing 2nd power */
d__2 = workl[iw + k - 1];
workl[ihb + k - 1] = (d__1 = workl[ihb + k - 1], abs(d__1)) /
(d__2 * d__2);
/*< 80 continue >*/
/* L80: */
}
/*< else if (type .eq. 'BUCKLE') then >*/
} else if (s_cmp(type__, "BUCKLE", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 90 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< >*/
/* Computing 2nd power */
d__2 = workl[iw + k - 1] - 1.;
workl[ihb + k - 1] = *sigma * (d__1 = workl[ihb + k - 1], abs(
d__1)) / (d__2 * d__2);
/*< 90 continue >*/
/* L90: */
}
/*< else if (type .eq. 'CAYLEY') then >*/
} else if (s_cmp(type__, "CAYLEY", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 100 k=1, ncv >*/
i__1 = *ncv;
for (k = 1; k <= i__1; ++k) {
/*< >*/
workl[ihb + k - 1] = (d__1 = workl[ihb + k - 1] / workl[iw +
k - 1] * (workl[iw + k - 1] - 1.), abs(d__1));
/*< 100 continue >*/
/* L100: */
}
/*< end if >*/
}
/*< end if >*/
}
/* if (type .ne. 'REGULR' .and. msglvl .gt. 1) then */
/* call dvout (logfil, nconv, d, ndigit, */
/* & '_seupd: Untransformed converged Ritz values') */
/* call dvout (logfil, nconv, workl(ihb), ndigit, */
/* & '_seupd: Ritz estimates of the untransformed Ritz values') */
/* else if (msglvl .gt. 1) then */
/* call dvout (logfil, nconv, d, ndigit, */
/* & '_seupd: Converged Ritz values') */
/* call dvout (logfil, nconv, workl(ihb), ndigit, */
/* & '_seupd: Associated Ritz estimates') */
/* end if */
/* %-------------------------------------------------% */
/* | Ritz vector purification step. Formally perform | */
/* | one of inverse subspace iteration. Only used | */
/* | for MODE = 3,4,5. See reference 7 | */
/* %-------------------------------------------------% */
/*< if (rvec .and. (type .eq. 'SHIFTI' .or. type .eq. 'CAYLEY')) then >*/
if (*rvec && (s_cmp(type__, "SHIFTI", (ftnlen)6, (ftnlen)6) == 0 || s_cmp(
type__, "CAYLEY", (ftnlen)6, (ftnlen)6) == 0)) {
/*< do 110 k=0, nconv-1 >*/
i__1 = nconv - 1;
for (k = 0; k <= i__1; ++k) {
/*< workl(iw+k) = workl(iq+k*ldq+ncv-1) / workl(iw+k) >*/
workl[iw + k] = workl[iq + k * ldq + *ncv - 1] / workl[iw + k];
/*< 110 continue >*/
/* L110: */
}
/*< else if (rvec .and. type .eq. 'BUCKLE') then >*/
} else if (*rvec && s_cmp(type__, "BUCKLE", (ftnlen)6, (ftnlen)6) == 0) {
/*< do 120 k=0, nconv-1 >*/
i__1 = nconv - 1;
for (k = 0; k <= i__1; ++k) {
/*< workl(iw+k) = workl(iq+k*ldq+ncv-1) / (workl(iw+k)-one) >*/
workl[iw + k] = workl[iq + k * ldq + *ncv - 1] / (workl[iw + k] -
1.);
/*< 120 continue >*/
/* L120: */
}
/*< end if >*/
}
/*< >*/
if (s_cmp(type__, "REGULR", (ftnlen)6, (ftnlen)6) != 0) {
dger_(n, &nconv, &c_b103, &resid[1], &c__1, &workl[iw], &c__1, &z__[
z_offset], ldz);
}
/*< 9000 continue >*/
L9000:
/*< return >*/
return 0;
/* %---------------% */
/* | End of dseupd | */
/* %---------------% */
/*< end >*/
} /* dseupd_ */
#ifdef __cplusplus
}
#endif
|
