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/* lapack/complex16/zgecon.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"
/* Table of constant values */
static integer c__1 = 1;
/*< >*/
/* Subroutine */ int zgecon_(char *norm, integer *n, doublecomplex *a,
integer *lda, doublereal *anorm, doublereal *rcond, doublecomplex *
work, doublereal *rwork, integer *info, ftnlen norm_len)
{
/* System generated locals */
integer a_dim1, a_offset, i__1;
doublereal d__1, d__2;
/* Builtin functions */
double d_imag(doublecomplex *);
/* Local variables */
doublereal sl;
integer ix;
doublereal su;
integer kase, kase1;
doublereal scale;
extern logical lsame_(const char *, const char *, ftnlen, ftnlen);
integer isave[3];
extern /* Subroutine */ int zlacn2_(integer *, doublecomplex *,
doublecomplex *, doublereal *, integer *, integer *);
extern doublereal dlamch_(char *, ftnlen);
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
doublereal ainvnm;
extern integer izamax_(integer *, doublecomplex *, integer *);
logical onenrm;
extern /* Subroutine */ int zdrscl_(integer *, doublereal *,
doublecomplex *, integer *);
char normin[1];
doublereal smlnum;
extern /* Subroutine */ int zlatrs_(char *, char *, char *, char *,
integer *, doublecomplex *, integer *, doublecomplex *,
doublereal *, doublereal *, integer *, ftnlen, ftnlen, ftnlen,
ftnlen);
(void)norm_len;
/* -- LAPACK routine (version 3.2) -- */
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* November 2006 */
/* Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH. */
/* .. Scalar Arguments .. */
/*< CHARACTER NORM >*/
/*< INTEGER INFO, LDA, N >*/
/*< DOUBLE PRECISION ANORM, RCOND >*/
/* .. */
/* .. Array Arguments .. */
/*< DOUBLE PRECISION RWORK( * ) >*/
/*< COMPLEX*16 A( LDA, * ), WORK( * ) >*/
/* .. */
/* Purpose */
/* ======= */
/* ZGECON estimates the reciprocal of the condition number of a general */
/* complex matrix A, in either the 1-norm or the infinity-norm, using */
/* the LU factorization computed by ZGETRF. */
/* An estimate is obtained for norm(inv(A)), and the reciprocal of the */
/* condition number is computed as */
/* RCOND = 1 / ( norm(A) * norm(inv(A)) ). */
/* Arguments */
/* ========= */
/* NORM (input) CHARACTER*1 */
/* Specifies whether the 1-norm condition number or the */
/* infinity-norm condition number is required: */
/* = '1' or 'O': 1-norm; */
/* = 'I': Infinity-norm. */
/* N (input) INTEGER */
/* The order of the matrix A. N >= 0. */
/* A (input) COMPLEX*16 array, dimension (LDA,N) */
/* The factors L and U from the factorization A = P*L*U */
/* as computed by ZGETRF. */
/* LDA (input) INTEGER */
/* The leading dimension of the array A. LDA >= max(1,N). */
/* ANORM (input) DOUBLE PRECISION */
/* If NORM = '1' or 'O', the 1-norm of the original matrix A. */
/* If NORM = 'I', the infinity-norm of the original matrix A. */
/* RCOND (output) DOUBLE PRECISION */
/* The reciprocal of the condition number of the matrix A, */
/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */
/* WORK (workspace) COMPLEX*16 array, dimension (2*N) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (2*N) */
/* INFO (output) INTEGER */
/* = 0: successful exit */
/* < 0: if INFO = -i, the i-th argument had an illegal value */
/* ===================================================================== */
/* .. Parameters .. */
/*< DOUBLE PRECISION ONE, ZERO >*/
/*< PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 ) >*/
/* .. */
/* .. Local Scalars .. */
/*< LOGICAL ONENRM >*/
/*< CHARACTER NORMIN >*/
/*< INTEGER IX, KASE, KASE1 >*/
/*< DOUBLE PRECISION AINVNM, SCALE, SL, SMLNUM, SU >*/
/*< COMPLEX*16 ZDUM >*/
/* .. */
/* .. Local Arrays .. */
/*< INTEGER ISAVE( 3 ) >*/
/* .. */
/* .. External Functions .. */
/*< LOGICAL LSAME >*/
/*< INTEGER IZAMAX >*/
/*< DOUBLE PRECISION DLAMCH >*/
/*< EXTERNAL LSAME, IZAMAX, DLAMCH >*/
/* .. */
/* .. External Subroutines .. */
/*< EXTERNAL XERBLA, ZDRSCL, ZLACN2, ZLATRS >*/
/* .. */
/* .. Intrinsic Functions .. */
/*< INTRINSIC ABS, DBLE, DIMAG, MAX >*/
/* .. */
/* .. Statement Functions .. */
/*< DOUBLE PRECISION CABS1 >*/
/* .. */
/* .. Statement Function definitions .. */
/*< CABS1( ZDUM ) = ABS( DBLE( ZDUM ) ) + ABS( DIMAG( ZDUM ) ) >*/
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/*< INFO = 0 >*/
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--work;
--rwork;
/* Function Body */
*info = 0;
/*< ONENRM = NORM.EQ.'1' .OR. LSAME( NORM, 'O' ) >*/
onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O", (ftnlen)1, (
ftnlen)1);
/*< IF( .NOT.ONENRM .AND. .NOT.LSAME( NORM, 'I' ) ) THEN >*/
if (! onenrm && ! lsame_(norm, "I", (ftnlen)1, (ftnlen)1)) {
/*< INFO = -1 >*/
*info = -1;
/*< ELSE IF( N.LT.0 ) THEN >*/
} else if (*n < 0) {
/*< INFO = -2 >*/
*info = -2;
/*< ELSE IF( LDA.LT.MAX( 1, N ) ) THEN >*/
} else if (*lda < max(1,*n)) {
/*< INFO = -4 >*/
*info = -4;
/*< ELSE IF( ANORM.LT.ZERO ) THEN >*/
} else if (*anorm < 0.) {
/*< INFO = -5 >*/
*info = -5;
/*< END IF >*/
}
/*< IF( INFO.NE.0 ) THEN >*/
if (*info != 0) {
/*< CALL XERBLA( 'ZGECON', -INFO ) >*/
i__1 = -(*info);
xerbla_("ZGECON", &i__1, (ftnlen)6);
/*< RETURN >*/
return 0;
/*< END IF >*/
}
/* Quick return if possible */
/*< RCOND = ZERO >*/
*rcond = 0.;
/*< IF( N.EQ.0 ) THEN >*/
if (*n == 0) {
/*< RCOND = ONE >*/
*rcond = 1.;
/*< RETURN >*/
return 0;
/*< ELSE IF( ANORM.EQ.ZERO ) THEN >*/
} else if (*anorm == 0.) {
/*< RETURN >*/
return 0;
/*< END IF >*/
}
/*< SMLNUM = DLAMCH( 'Safe minimum' ) >*/
smlnum = dlamch_("Safe minimum", (ftnlen)12);
/* Estimate the norm of inv(A). */
/*< AINVNM = ZERO >*/
ainvnm = 0.;
/*< NORMIN = 'N' >*/
*(unsigned char *)normin = 'N';
/*< IF( ONENRM ) THEN >*/
if (onenrm) {
/*< KASE1 = 1 >*/
kase1 = 1;
/*< ELSE >*/
} else {
/*< KASE1 = 2 >*/
kase1 = 2;
/*< END IF >*/
}
/*< KASE = 0 >*/
kase = 0;
/*< 10 CONTINUE >*/
L10:
/*< CALL ZLACN2( N, WORK( N+1 ), WORK, AINVNM, KASE, ISAVE ) >*/
zlacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
/*< IF( KASE.NE.0 ) THEN >*/
if (kase != 0) {
/*< IF( KASE.EQ.KASE1 ) THEN >*/
if (kase == kase1) {
/* Multiply by inv(L). */
/*< >*/
zlatrs_("Lower", "No transpose", "Unit", normin, n, &a[a_offset],
lda, &work[1], &sl, &rwork[1], info, (ftnlen)5, (ftnlen)
12, (ftnlen)4, (ftnlen)1);
/* Multiply by inv(U). */
/*< >*/
zlatrs_("Upper", "No transpose", "Non-unit", normin, n, &a[
a_offset], lda, &work[1], &su, &rwork[*n + 1], info, (
ftnlen)5, (ftnlen)12, (ftnlen)8, (ftnlen)1);
/*< ELSE >*/
} else {
/* Multiply by inv(U'). */
/*< >*/
zlatrs_("Upper", "Conjugate transpose", "Non-unit", normin, n, &a[
a_offset], lda, &work[1], &su, &rwork[*n + 1], info, (
ftnlen)5, (ftnlen)19, (ftnlen)8, (ftnlen)1);
/* Multiply by inv(L'). */
/*< >*/
zlatrs_("Lower", "Conjugate transpose", "Unit", normin, n, &a[
a_offset], lda, &work[1], &sl, &rwork[1], info, (ftnlen)5,
(ftnlen)19, (ftnlen)4, (ftnlen)1);
/*< END IF >*/
}
/* Divide X by 1/(SL*SU) if doing so will not cause overflow. */
/*< SCALE = SL*SU >*/
scale = sl * su;
/*< NORMIN = 'Y' >*/
*(unsigned char *)normin = 'Y';
/*< IF( SCALE.NE.ONE ) THEN >*/
if (scale != 1.) {
/*< IX = IZAMAX( N, WORK, 1 ) >*/
ix = izamax_(n, &work[1], &c__1);
/*< >*/
i__1 = ix;
if (scale < ((d__1 = work[i__1].r, abs(d__1)) + (d__2 = d_imag(&
work[ix]), abs(d__2))) * smlnum || scale == 0.) {
goto L20;
}
/*< CALL ZDRSCL( N, SCALE, WORK, 1 ) >*/
zdrscl_(n, &scale, &work[1], &c__1);
/*< END IF >*/
}
/*< GO TO 10 >*/
goto L10;
/*< END IF >*/
}
/* Compute the estimate of the reciprocal condition number. */
/*< >*/
if (ainvnm != 0.) {
*rcond = 1. / ainvnm / *anorm;
}
/*< 20 CONTINUE >*/
L20:
/*< RETURN >*/
return 0;
/* End of ZGECON */
/*< END >*/
} /* zgecon_ */
#ifdef __cplusplus
}
#endif
|
