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clapack.h
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5081 lines (3862 loc) · 245 KB
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#ifndef __CLAPACK_H
#define __CLAPACK_H
doublereal dlange_(char *norm, integer *m, integer *n, doublereal *a, integer *lda, doublereal *work);
/* Subroutine */ int cbdsqr_(char *uplo, integer *n, integer *ncvt, integer *
nru, integer *ncc, real *d__, real *e, complex *vt, integer *ldvt,
complex *u, integer *ldu, complex *c__, integer *ldc, real *rwork,
integer *info);
/* Subroutine */ int cgbbrd_(char *vect, integer *m, integer *n, integer *ncc,
integer *kl, integer *ku, complex *ab, integer *ldab, real *d__,
real *e, complex *q, integer *ldq, complex *pt, integer *ldpt,
complex *c__, integer *ldc, complex *work, real *rwork, integer *info);
/* Subroutine */ int cgbcon_(char *norm, integer *n, integer *kl, integer *ku,
complex *ab, integer *ldab, integer *ipiv, real *anorm, real *rcond,
complex *work, real *rwork, integer *info);
/* Subroutine */ int cgbequ_(integer *m, integer *n, integer *kl, integer *ku,
complex *ab, integer *ldab, real *r__, real *c__, real *rowcnd, real
*colcnd, real *amax, integer *info);
/* Subroutine */ int cgbrfs_(char *trans, integer *n, integer *kl, integer *
ku, integer *nrhs, complex *ab, integer *ldab, complex *afb, integer *
ldafb, integer *ipiv, complex *b, integer *ldb, complex *x, integer *
ldx, real *ferr, real *berr, complex *work, real *rwork, integer *
info);
/* Subroutine */ int cgbsv_(integer *n, integer *kl, integer *ku, integer *
nrhs, complex *ab, integer *ldab, integer *ipiv, complex *b, integer *
ldb, integer *info);
/* Subroutine */ int cgbsvx_(char *fact, char *trans, integer *n, integer *kl,
integer *ku, integer *nrhs, complex *ab, integer *ldab, complex *afb,
integer *ldafb, integer *ipiv, char *equed, real *r__, real *c__,
complex *b, integer *ldb, complex *x, integer *ldx, real *rcond, real
*ferr, real *berr, complex *work, real *rwork, integer *info);
/* Subroutine */ int cgbtf2_(integer *m, integer *n, integer *kl, integer *ku,
complex *ab, integer *ldab, integer *ipiv, integer *info);
/* Subroutine */ int cgbtrf_(integer *m, integer *n, integer *kl, integer *ku,
complex *ab, integer *ldab, integer *ipiv, integer *info);
/* Subroutine */ int cgbtrs_(char *trans, integer *n, integer *kl, integer *
ku, integer *nrhs, complex *ab, integer *ldab, integer *ipiv, complex
*b, integer *ldb, integer *info);
/* Subroutine */ int cgebak_(char *job, char *side, integer *n, integer *ilo,
integer *ihi, real *scale, integer *m, complex *v, integer *ldv,
integer *info);
/* Subroutine */ int cgebal_(char *job, integer *n, complex *a, integer *lda,
integer *ilo, integer *ihi, real *scale, integer *info);
/* Subroutine */ int cgebd2_(integer *m, integer *n, complex *a, integer *lda,
real *d__, real *e, complex *tauq, complex *taup, complex *work,
integer *info);
/* Subroutine */ int cgebrd_(integer *m, integer *n, complex *a, integer *lda,
real *d__, real *e, complex *tauq, complex *taup, complex *work,
integer *lwork, integer *info);
/* Subroutine */ int cgecon_(char *norm, integer *n, complex *a, integer *lda,
real *anorm, real *rcond, complex *work, real *rwork, integer *info);
/* Subroutine */ int cgeequ_(integer *m, integer *n, complex *a, integer *lda,
real *r__, real *c__, real *rowcnd, real *colcnd, real *amax,
integer *info);
/* Subroutine */ int cgees_(char *jobvs, char *sort, L_fp select, integer *n,
complex *a, integer *lda, integer *sdim, complex *w, complex *vs,
integer *ldvs, complex *work, integer *lwork, real *rwork, logical *
bwork, integer *info);
/* Subroutine */ int cgeesx_(char *jobvs, char *sort, L_fp select, char *
sense, integer *n, complex *a, integer *lda, integer *sdim, complex *
w, complex *vs, integer *ldvs, real *rconde, real *rcondv, complex *
work, integer *lwork, real *rwork, logical *bwork, integer *info);
/* Subroutine */ int cgeev_(char *jobvl, char *jobvr, integer *n, complex *a,
integer *lda, complex *w, complex *vl, integer *ldvl, complex *vr,
integer *ldvr, complex *work, integer *lwork, real *rwork, integer *
info);
/* Subroutine */ int cgeevx_(char *balanc, char *jobvl, char *jobvr, char *
sense, integer *n, complex *a, integer *lda, complex *w, complex *vl,
integer *ldvl, complex *vr, integer *ldvr, integer *ilo, integer *ihi,
real *scale, real *abnrm, real *rconde, real *rcondv, complex *work,
integer *lwork, real *rwork, integer *info);
/* Subroutine */ int cgegs_(char *jobvsl, char *jobvsr, integer *n, complex *
a, integer *lda, complex *b, integer *ldb, complex *alpha, complex *
beta, complex *vsl, integer *ldvsl, complex *vsr, integer *ldvsr,
complex *work, integer *lwork, real *rwork, integer *info);
/* Subroutine */ int cgegv_(char *jobvl, char *jobvr, integer *n, complex *a,
integer *lda, complex *b, integer *ldb, complex *alpha, complex *beta,
complex *vl, integer *ldvl, complex *vr, integer *ldvr, complex *
work, integer *lwork, real *rwork, integer *info);
/* Subroutine */ int cgehd2_(integer *n, integer *ilo, integer *ihi, complex *
a, integer *lda, complex *tau, complex *work, integer *info);
/* Subroutine */ int cgehrd_(integer *n, integer *ilo, integer *ihi, complex *
a, integer *lda, complex *tau, complex *work, integer *lwork, integer
*info);
/* Subroutine */ int cgelq2_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *info);
/* Subroutine */ int cgelqf_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgels_(char *trans, integer *m, integer *n, integer *
nrhs, complex *a, integer *lda, complex *b, integer *ldb, complex *
work, integer *lwork, integer *info);
/* Subroutine */ int cgelsx_(integer *m, integer *n, integer *nrhs, complex *
a, integer *lda, complex *b, integer *ldb, integer *jpvt, real *rcond,
integer *rank, complex *work, real *rwork, integer *info);
/* Subroutine */ int cgelsy_(integer *m, integer *n, integer *nrhs, complex *
a, integer *lda, complex *b, integer *ldb, integer *jpvt, real *rcond,
integer *rank, complex *work, integer *lwork, real *rwork, integer *
info);
/* Subroutine */ int cgeql2_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *info);
/* Subroutine */ int cgeqlf_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgeqp3_(integer *m, integer *n, complex *a, integer *lda,
integer *jpvt, complex *tau, complex *work, integer *lwork, real *
rwork, integer *info);
/* Subroutine */ int cgeqpf_(integer *m, integer *n, complex *a, integer *lda,
integer *jpvt, complex *tau, complex *work, real *rwork, integer *
info);
/* Subroutine */ int cgeqr2_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *info);
/* Subroutine */ int cgeqrf_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgerfs_(char *trans, integer *n, integer *nrhs, complex *
a, integer *lda, complex *af, integer *ldaf, integer *ipiv, complex *
b, integer *ldb, complex *x, integer *ldx, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int cgerq2_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *info);
/* Subroutine */ int cgerqf_(integer *m, integer *n, complex *a, integer *lda,
complex *tau, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgesc2_(integer *n, complex *a, integer *lda, complex *
rhs, integer *ipiv, integer *jpiv, real *scale);
/* Subroutine */ int cgesv_(integer *n, integer *nrhs, complex *a, integer *
lda, integer *ipiv, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cgesvx_(char *fact, char *trans, integer *n, integer *
nrhs, complex *a, integer *lda, complex *af, integer *ldaf, integer *
ipiv, char *equed, real *r__, real *c__, complex *b, integer *ldb,
complex *x, integer *ldx, real *rcond, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int cgetc2_(integer *n, complex *a, integer *lda, integer *
ipiv, integer *jpiv, integer *info);
/* Subroutine */ int cgetf2_(integer *m, integer *n, complex *a, integer *lda,
integer *ipiv, integer *info);
/* Subroutine */ int cgetrf_(integer *m, integer *n, complex *a, integer *lda,
integer *ipiv, integer *info);
/* Subroutine */ int cgetri_(integer *n, complex *a, integer *lda, integer *
ipiv, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgetrs_(char *trans, integer *n, integer *nrhs, complex *
a, integer *lda, integer *ipiv, complex *b, integer *ldb, integer *
info);
/* Subroutine */ int cggbak_(char *job, char *side, integer *n, integer *ilo,
integer *ihi, real *lscale, real *rscale, integer *m, complex *v,
integer *ldv, integer *info);
/* Subroutine */ int cggbal_(char *job, integer *n, complex *a, integer *lda,
complex *b, integer *ldb, integer *ilo, integer *ihi, real *lscale,
real *rscale, real *work, integer *info);
/* Subroutine */ int cgges_(char *jobvsl, char *jobvsr, char *sort, L_fp
selctg, integer *n, complex *a, integer *lda, complex *b, integer *
ldb, integer *sdim, complex *alpha, complex *beta, complex *vsl,
integer *ldvsl, complex *vsr, integer *ldvsr, complex *work, integer *
lwork, real *rwork, logical *bwork, integer *info);
/* Subroutine */ int cggesx_(char *jobvsl, char *jobvsr, char *sort, L_fp
selctg, char *sense, integer *n, complex *a, integer *lda, complex *b,
integer *ldb, integer *sdim, complex *alpha, complex *beta, complex *
vsl, integer *ldvsl, complex *vsr, integer *ldvsr, real *rconde, real
*rcondv, complex *work, integer *lwork, real *rwork, integer *iwork,
integer *liwork, logical *bwork, integer *info);
/* Subroutine */ int cggev_(char *jobvl, char *jobvr, integer *n, complex *a,
integer *lda, complex *b, integer *ldb, complex *alpha, complex *beta,
complex *vl, integer *ldvl, complex *vr, integer *ldvr, complex *
work, integer *lwork, real *rwork, integer *info);
/* Subroutine */ int cggevx_(char *balanc, char *jobvl, char *jobvr, char *
sense, integer *n, complex *a, integer *lda, complex *b, integer *ldb,
complex *alpha, complex *beta, complex *vl, integer *ldvl, complex *
vr, integer *ldvr, integer *ilo, integer *ihi, real *lscale, real *
rscale, real *abnrm, real *bbnrm, real *rconde, real *rcondv, complex
*work, integer *lwork, real *rwork, integer *iwork, logical *bwork,
integer *info);
/* Subroutine */ int cggglm_(integer *n, integer *m, integer *p, complex *a,
integer *lda, complex *b, integer *ldb, complex *d__, complex *x,
complex *y, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cgghrd_(char *compq, char *compz, integer *n, integer *
ilo, integer *ihi, complex *a, integer *lda, complex *b, integer *ldb,
complex *q, integer *ldq, complex *z__, integer *ldz, integer *info);
/* Subroutine */ int cgglse_(integer *m, integer *n, integer *p, complex *a,
integer *lda, complex *b, integer *ldb, complex *c__, complex *d__,
complex *x, complex *work, integer *lwork, integer *info);
/* Subroutine */ int cggqrf_(integer *n, integer *m, integer *p, complex *a,
integer *lda, complex *taua, complex *b, integer *ldb, complex *taub,
complex *work, integer *lwork, integer *info);
/* Subroutine */ int cggrqf_(integer *m, integer *p, integer *n, complex *a,
integer *lda, complex *taua, complex *b, integer *ldb, complex *taub,
complex *work, integer *lwork, integer *info);
/* Subroutine */ int cggsvd_(char *jobu, char *jobv, char *jobq, integer *m,
integer *n, integer *p, integer *k, integer *l, complex *a, integer *
lda, complex *b, integer *ldb, real *alpha, real *beta, complex *u,
integer *ldu, complex *v, integer *ldv, complex *q, integer *ldq,
complex *work, real *rwork, integer *iwork, integer *info);
/* Subroutine */ int cggsvp_(char *jobu, char *jobv, char *jobq, integer *m,
integer *p, integer *n, complex *a, integer *lda, complex *b, integer
*ldb, real *tola, real *tolb, integer *k, integer *l, complex *u,
integer *ldu, complex *v, integer *ldv, complex *q, integer *ldq,
integer *iwork, real *rwork, complex *tau, complex *work, integer *
info);
/* Subroutine */ int cgtcon_(char *norm, integer *n, complex *dl, complex *
d__, complex *du, complex *du2, integer *ipiv, real *anorm, real *
rcond, complex *work, integer *info);
/* Subroutine */ int cgtrfs_(char *trans, integer *n, integer *nrhs, complex *
dl, complex *d__, complex *du, complex *dlf, complex *df, complex *
duf, complex *du2, integer *ipiv, complex *b, integer *ldb, complex *
x, integer *ldx, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int cgtsv_(integer *n, integer *nrhs, complex *dl, complex *
d__, complex *du, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cgtsvx_(char *fact, char *trans, integer *n, integer *
nrhs, complex *dl, complex *d__, complex *du, complex *dlf, complex *
df, complex *duf, complex *du2, integer *ipiv, complex *b, integer *
ldb, complex *x, integer *ldx, real *rcond, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int cgttrf_(integer *n, complex *dl, complex *d__, complex *
du, complex *du2, integer *ipiv, integer *info);
/* Subroutine */ int cgttrs_(char *trans, integer *n, integer *nrhs, complex *
dl, complex *d__, complex *du, complex *du2, integer *ipiv, complex *
b, integer *ldb, integer *info);
/* Subroutine */ int cgtts2_(integer *itrans, integer *n, integer *nrhs,
complex *dl, complex *d__, complex *du, complex *du2, integer *ipiv,
complex *b, integer *ldb);
/* Subroutine */ int chbev_(char *jobz, char *uplo, integer *n, integer *kd,
complex *ab, integer *ldab, real *w, complex *z__, integer *ldz,
complex *work, real *rwork, integer *info);
/* Subroutine */ int chbevd_(char *jobz, char *uplo, integer *n, integer *kd,
complex *ab, integer *ldab, real *w, complex *z__, integer *ldz,
complex *work, integer *lwork, real *rwork, integer *lrwork, integer *
iwork, integer *liwork, integer *info);
/* Subroutine */ int chbevx_(char *jobz, char *range, char *uplo, integer *n,
integer *kd, complex *ab, integer *ldab, complex *q, integer *ldq,
real *vl, real *vu, integer *il, integer *iu, real *abstol, integer *
m, real *w, complex *z__, integer *ldz, complex *work, real *rwork,
integer *iwork, integer *ifail, integer *info);
/* Subroutine */ int chbgst_(char *vect, char *uplo, integer *n, integer *ka,
integer *kb, complex *ab, integer *ldab, complex *bb, integer *ldbb,
complex *x, integer *ldx, complex *work, real *rwork, integer *info);
/* Subroutine */ int chbgv_(char *jobz, char *uplo, integer *n, integer *ka,
integer *kb, complex *ab, integer *ldab, complex *bb, integer *ldbb,
real *w, complex *z__, integer *ldz, complex *work, real *rwork,
integer *info);
/* Subroutine */ int chbgvx_(char *jobz, char *range, char *uplo, integer *n,
integer *ka, integer *kb, complex *ab, integer *ldab, complex *bb,
integer *ldbb, complex *q, integer *ldq, real *vl, real *vu, integer *
il, integer *iu, real *abstol, integer *m, real *w, complex *z__,
integer *ldz, complex *work, real *rwork, integer *iwork, integer *
ifail, integer *info);
/* Subroutine */ int chbtrd_(char *vect, char *uplo, integer *n, integer *kd,
complex *ab, integer *ldab, real *d__, real *e, complex *q, integer *
ldq, complex *work, integer *info);
/* Subroutine */ int checon_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, real *anorm, real *rcond, complex *work, integer *
info);
/* Subroutine */ int cheev_(char *jobz, char *uplo, integer *n, complex *a,
integer *lda, real *w, complex *work, integer *lwork, real *rwork,
integer *info);
/* Subroutine */ int cheevd_(char *jobz, char *uplo, integer *n, complex *a,
integer *lda, real *w, complex *work, integer *lwork, real *rwork,
integer *lrwork, integer *iwork, integer *liwork, integer *info);
/* Subroutine */ int cheevr_(char *jobz, char *range, char *uplo, integer *n,
complex *a, integer *lda, real *vl, real *vu, integer *il, integer *
iu, real *abstol, integer *m, real *w, complex *z__, integer *ldz,
integer *isuppz, complex *work, integer *lwork, real *rwork, integer *
lrwork, integer *iwork, integer *liwork, integer *info);
/* Subroutine */ int cheevx_(char *jobz, char *range, char *uplo, integer *n,
complex *a, integer *lda, real *vl, real *vu, integer *il, integer *
iu, real *abstol, integer *m, real *w, complex *z__, integer *ldz,
complex *work, integer *lwork, real *rwork, integer *iwork, integer *
ifail, integer *info);
/* Subroutine */ int chegs2_(integer *itype, char *uplo, integer *n, complex *
a, integer *lda, complex *b, integer *ldb, integer *info);
/* Subroutine */ int chegst_(integer *itype, char *uplo, integer *n, complex *
a, integer *lda, complex *b, integer *ldb, integer *info);
/* Subroutine */ int chegv_(integer *itype, char *jobz, char *uplo, integer *
n, complex *a, integer *lda, complex *b, integer *ldb, real *w,
complex *work, integer *lwork, real *rwork, integer *info);
/* Subroutine */ int chegvd_(integer *itype, char *jobz, char *uplo, integer *
n, complex *a, integer *lda, complex *b, integer *ldb, real *w,
complex *work, integer *lwork, real *rwork, integer *lrwork, integer *
iwork, integer *liwork, integer *info);
/* Subroutine */ int chegvx_(integer *itype, char *jobz, char *range, char *
uplo, integer *n, complex *a, integer *lda, complex *b, integer *ldb,
real *vl, real *vu, integer *il, integer *iu, real *abstol, integer *
m, real *w, complex *z__, integer *ldz, complex *work, integer *lwork,
real *rwork, integer *iwork, integer *ifail, integer *info);
/* Subroutine */ int cherfs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, complex *af, integer *ldaf, integer *ipiv, complex *
b, integer *ldb, complex *x, integer *ldx, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int chesv_(char *uplo, integer *n, integer *nrhs, complex *a,
integer *lda, integer *ipiv, complex *b, integer *ldb, complex *work,
integer *lwork, integer *info);
/* Subroutine */ int chesvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *a, integer *lda, complex *af, integer *ldaf, integer *
ipiv, complex *b, integer *ldb, complex *x, integer *ldx, real *rcond,
real *ferr, real *berr, complex *work, integer *lwork, real *rwork,
integer *info);
/* Subroutine */ int chetf2_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, integer *info);
/* Subroutine */ int chetrd_(char *uplo, integer *n, complex *a, integer *lda,
real *d__, real *e, complex *tau, complex *work, integer *lwork,
integer *info);
/* Subroutine */ int chetrf_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, complex *work, integer *lwork, integer *info);
/* Subroutine */ int chetri_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, complex *work, integer *info);
/* Subroutine */ int chetrs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, integer *ipiv, complex *b, integer *ldb, integer *
info);
/* Subroutine */ int chgeqz_(char *job, char *compq, char *compz, integer *n,
integer *ilo, integer *ihi, complex *a, integer *lda, complex *b,
integer *ldb, complex *alpha, complex *beta, complex *q, integer *ldq,
complex *z__, integer *ldz, complex *work, integer *lwork, real *
rwork, integer *info);
/* Subroutine */ int chpcon_(char *uplo, integer *n, complex *ap, integer *
ipiv, real *anorm, real *rcond, complex *work, integer *info);
/* Subroutine */ int chpev_(char *jobz, char *uplo, integer *n, complex *ap,
real *w, complex *z__, integer *ldz, complex *work, real *rwork,
integer *info);
/* Subroutine */ int chpevd_(char *jobz, char *uplo, integer *n, complex *ap,
real *w, complex *z__, integer *ldz, complex *work, integer *lwork,
real *rwork, integer *lrwork, integer *iwork, integer *liwork,
integer *info);
/* Subroutine */ int chpevx_(char *jobz, char *range, char *uplo, integer *n,
complex *ap, real *vl, real *vu, integer *il, integer *iu, real *
abstol, integer *m, real *w, complex *z__, integer *ldz, complex *
work, real *rwork, integer *iwork, integer *ifail, integer *info);
/* Subroutine */ int chpgst_(integer *itype, char *uplo, integer *n, complex *
ap, complex *bp, integer *info);
/* Subroutine */ int chpgv_(integer *itype, char *jobz, char *uplo, integer *
n, complex *ap, complex *bp, real *w, complex *z__, integer *ldz,
complex *work, real *rwork, integer *info);
/* Subroutine */ int chpgvd_(integer *itype, char *jobz, char *uplo, integer *
n, complex *ap, complex *bp, real *w, complex *z__, integer *ldz,
complex *work, integer *lwork, real *rwork, integer *lrwork, integer *
iwork, integer *liwork, integer *info);
/* Subroutine */ int chpgvx_(integer *itype, char *jobz, char *range, char *
uplo, integer *n, complex *ap, complex *bp, real *vl, real *vu,
integer *il, integer *iu, real *abstol, integer *m, real *w, complex *
z__, integer *ldz, complex *work, real *rwork, integer *iwork,
integer *ifail, integer *info);
/* Subroutine */ int chprfs_(char *uplo, integer *n, integer *nrhs, complex *
ap, complex *afp, integer *ipiv, complex *b, integer *ldb, complex *x,
integer *ldx, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int chpsv_(char *uplo, integer *n, integer *nrhs, complex *
ap, integer *ipiv, complex *b, integer *ldb, integer *info);
/* Subroutine */ int chpsvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *ap, complex *afp, integer *ipiv, complex *b, integer *
ldb, complex *x, integer *ldx, real *rcond, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int chptrd_(char *uplo, integer *n, complex *ap, real *d__,
real *e, complex *tau, integer *info);
/* Subroutine */ int chptrf_(char *uplo, integer *n, complex *ap, integer *
ipiv, integer *info);
/* Subroutine */ int chptri_(char *uplo, integer *n, complex *ap, integer *
ipiv, complex *work, integer *info);
/* Subroutine */ int chptrs_(char *uplo, integer *n, integer *nrhs, complex *
ap, integer *ipiv, complex *b, integer *ldb, integer *info);
/* Subroutine */ int chsein_(char *side, char *eigsrc, char *initv, logical *
select, integer *n, complex *h__, integer *ldh, complex *w, complex *
vl, integer *ldvl, complex *vr, integer *ldvr, integer *mm, integer *
m, complex *work, real *rwork, integer *ifaill, integer *ifailr,
integer *info);
/* Subroutine */ int chseqr_(char *job, char *compz, integer *n, integer *ilo,
integer *ihi, complex *h__, integer *ldh, complex *w, complex *z__,
integer *ldz, complex *work, integer *lwork, integer *info);
/* Subroutine */ int clabrd_(integer *m, integer *n, integer *nb, complex *a,
integer *lda, real *d__, real *e, complex *tauq, complex *taup,
complex *x, integer *ldx, complex *y, integer *ldy);
/* Subroutine */ int clacgv_(integer *n, complex *x, integer *incx);
/* Subroutine */ int clacon_(integer *n, complex *v, complex *x, real *est,
integer *kase);
/* Subroutine */ int clacp2_(char *uplo, integer *m, integer *n, real *a,
integer *lda, complex *b, integer *ldb);
/* Subroutine */ int clacpy_(char *uplo, integer *m, integer *n, complex *a,
integer *lda, complex *b, integer *ldb);
/* Subroutine */ int clacrm_(integer *m, integer *n, complex *a, integer *lda,
real *b, integer *ldb, complex *c__, integer *ldc, real *rwork);
/* Subroutine */ int clacrt_(integer *n, complex *cx, integer *incx, complex *
cy, integer *incy, complex *c__, complex *s);
/* Subroutine */ int claed0_(integer *qsiz, integer *n, real *d__, real *e,
complex *q, integer *ldq, complex *qstore, integer *ldqs, real *rwork,
integer *iwork, integer *info);
/* Subroutine */ int claed7_(integer *n, integer *cutpnt, integer *qsiz,
integer *tlvls, integer *curlvl, integer *curpbm, real *d__, complex *
q, integer *ldq, real *rho, integer *indxq, real *qstore, integer *
qptr, integer *prmptr, integer *perm, integer *givptr, integer *
givcol, real *givnum, complex *work, real *rwork, integer *iwork,
integer *info);
/* Subroutine */ int claed8_(integer *k, integer *n, integer *qsiz, complex *
q, integer *ldq, real *d__, real *rho, integer *cutpnt, real *z__,
real *dlamda, complex *q2, integer *ldq2, real *w, integer *indxp,
integer *indx, integer *indxq, integer *perm, integer *givptr,
integer *givcol, real *givnum, integer *info);
/* Subroutine */ int claein_(logical *rightv, logical *noinit, integer *n,
complex *h__, integer *ldh, complex *w, complex *v, complex *b,
integer *ldb, real *rwork, real *eps3, real *smlnum, integer *info);
/* Subroutine */ int claesy_(complex *a, complex *b, complex *c__, complex *
rt1, complex *rt2, complex *evscal, complex *cs1, complex *sn1);
/* Subroutine */ int claev2_(complex *a, complex *b, complex *c__, real *rt1,
real *rt2, real *cs1, complex *sn1);
/* Subroutine */ int clags2_(logical *upper, real *a1, complex *a2, real *a3,
real *b1, complex *b2, real *b3, real *csu, complex *snu, real *csv,
complex *snv, real *csq, complex *snq);
/* Subroutine */ int clagtm_(char *trans, integer *n, integer *nrhs, real *
alpha, complex *dl, complex *d__, complex *du, complex *x, integer *
ldx, real *beta, complex *b, integer *ldb);
/* Subroutine */ int clahef_(char *uplo, integer *n, integer *nb, integer *kb,
complex *a, integer *lda, integer *ipiv, complex *w, integer *ldw,
integer *info);
/* Subroutine */ int clahqr_(logical *wantt, logical *wantz, integer *n,
integer *ilo, integer *ihi, complex *h__, integer *ldh, complex *w,
integer *iloz, integer *ihiz, complex *z__, integer *ldz, integer *
info);
/* Subroutine */ int clahrd_(integer *n, integer *k, integer *nb, complex *a,
integer *lda, complex *tau, complex *t, integer *ldt, complex *y,
integer *ldy);
/* Subroutine */ int claic1_(integer *job, integer *j, complex *x, real *sest,
complex *w, complex *gamma, real *sestpr, complex *s, complex *c__);
/* Subroutine */ int clals0_(integer *icompq, integer *nl, integer *nr,
integer *sqre, integer *nrhs, complex *b, integer *ldb, complex *bx,
integer *ldbx, integer *perm, integer *givptr, integer *givcol,
integer *ldgcol, real *givnum, integer *ldgnum, real *poles, real *
difl, real *difr, real *z__, integer *k, real *c__, real *s, real *
rwork, integer *info);
/* Subroutine */ int clalsa_(integer *icompq, integer *smlsiz, integer *n,
integer *nrhs, complex *b, integer *ldb, complex *bx, integer *ldbx,
real *u, integer *ldu, real *vt, integer *k, real *difl, real *difr,
real *z__, real *poles, integer *givptr, integer *givcol, integer *
ldgcol, integer *perm, real *givnum, real *c__, real *s, real *rwork,
integer *iwork, integer *info);
/* Subroutine */ int clapll_(integer *n, complex *x, integer *incx, complex *
y, integer *incy, real *ssmin);
/* Subroutine */ int clapmt_(logical *forwrd, integer *m, integer *n, complex
*x, integer *ldx, integer *k);
/* Subroutine */ int claqgb_(integer *m, integer *n, integer *kl, integer *ku,
complex *ab, integer *ldab, real *r__, real *c__, real *rowcnd, real
*colcnd, real *amax, char *equed);
/* Subroutine */ int claqge_(integer *m, integer *n, complex *a, integer *lda,
real *r__, real *c__, real *rowcnd, real *colcnd, real *amax, char *
equed);
/* Subroutine */ int claqhb_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, real *s, real *scond, real *amax, char *equed);
/* Subroutine */ int claqhe_(char *uplo, integer *n, complex *a, integer *lda,
real *s, real *scond, real *amax, char *equed);
/* Subroutine */ int claqhp_(char *uplo, integer *n, complex *ap, real *s,
real *scond, real *amax, char *equed);
/* Subroutine */ int claqp2_(integer *m, integer *n, integer *offset, complex
*a, integer *lda, integer *jpvt, complex *tau, real *vn1, real *vn2,
complex *work);
/* Subroutine */ int claqps_(integer *m, integer *n, integer *offset, integer
*nb, integer *kb, complex *a, integer *lda, integer *jpvt, complex *
tau, real *vn1, real *vn2, complex *auxv, complex *f, integer *ldf);
/* Subroutine */ int claqsb_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, real *s, real *scond, real *amax, char *equed);
/* Subroutine */ int claqsp_(char *uplo, integer *n, complex *ap, real *s,
real *scond, real *amax, char *equed);
/* Subroutine */ int claqsy_(char *uplo, integer *n, complex *a, integer *lda,
real *s, real *scond, real *amax, char *equed);
/* Subroutine */ int clar1v_(integer *n, integer *b1, integer *bn, real *
sigma, real *d__, real *l, real *ld, real *lld, real *gersch, complex
*z__, real *ztz, real *mingma, integer *r__, integer *isuppz, real *
work);
/* Subroutine */ int clar2v_(integer *n, complex *x, complex *y, complex *z__,
integer *incx, real *c__, complex *s, integer *incc);
/* Subroutine */ int clarcm_(integer *m, integer *n, real *a, integer *lda,
complex *b, integer *ldb, complex *c__, integer *ldc, real *rwork);
/* Subroutine */ int clarf_(char *side, integer *m, integer *n, complex *v,
integer *incv, complex *tau, complex *c__, integer *ldc, complex *
work);
/* Subroutine */ int clarfb_(char *side, char *trans, char *direct, char *
storev, integer *m, integer *n, integer *k, complex *v, integer *ldv,
complex *t, integer *ldt, complex *c__, integer *ldc, complex *work,
integer *ldwork);
/* Subroutine */ int clarfg_(integer *n, complex *alpha, complex *x, integer *
incx, complex *tau);
/* Subroutine */ int clarft_(char *direct, char *storev, integer *n, integer *
k, complex *v, integer *ldv, complex *tau, complex *t, integer *ldt);
/* Subroutine */ int clarfx_(char *side, integer *m, integer *n, complex *v,
complex *tau, complex *c__, integer *ldc, complex *work);
/* Subroutine */ int clargv_(integer *n, complex *x, integer *incx, complex *
y, integer *incy, real *c__, integer *incc);
/* Subroutine */ int clarnv_(integer *idist, integer *iseed, integer *n,
complex *x);
/* Subroutine */ int clarrv_(integer *n, real *d__, real *l, integer *isplit,
integer *m, real *w, integer *iblock, real *gersch, real *tol,
complex *z__, integer *ldz, integer *isuppz, real *work, integer *
iwork, integer *info);
/* Subroutine */ int clartg_(complex *f, complex *g, real *cs, complex *sn,
complex *r__);
/* Subroutine */ int clartv_(integer *n, complex *x, integer *incx, complex *
y, integer *incy, real *c__, complex *s, integer *incc);
/* Subroutine */ int clarz_(char *side, integer *m, integer *n, integer *l,
complex *v, integer *incv, complex *tau, complex *c__, integer *ldc,
complex *work);
/* Subroutine */ int clarzb_(char *side, char *trans, char *direct, char *
storev, integer *m, integer *n, integer *k, integer *l, complex *v,
integer *ldv, complex *t, integer *ldt, complex *c__, integer *ldc,
complex *work, integer *ldwork);
/* Subroutine */ int clarzt_(char *direct, char *storev, integer *n, integer *
k, complex *v, integer *ldv, complex *tau, complex *t, integer *ldt);
/* Subroutine */ int clascl_(char *type__, integer *kl, integer *ku, real *
cfrom, real *cto, integer *m, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int claset_(char *uplo, integer *m, integer *n, complex *
alpha, complex *beta, complex *a, integer *lda);
/* Subroutine */ int clasr_(char *side, char *pivot, char *direct, integer *m,
integer *n, real *c__, real *s, complex *a, integer *lda);
/* Subroutine */ int classq_(integer *n, complex *x, integer *incx, real *
scale, real *sumsq);
/* Subroutine */ int claswp_(integer *n, complex *a, integer *lda, integer *
k1, integer *k2, integer *ipiv, integer *incx);
/* Subroutine */ int clasyf_(char *uplo, integer *n, integer *nb, integer *kb,
complex *a, integer *lda, integer *ipiv, complex *w, integer *ldw,
integer *info);
/* Subroutine */ int clatbs_(char *uplo, char *trans, char *diag, char *
normin, integer *n, integer *kd, complex *ab, integer *ldab, complex *
x, real *scale, real *cnorm, integer *info);
/* Subroutine */ int clatdf_(integer *ijob, integer *n, complex *z__, integer
*ldz, complex *rhs, real *rdsum, real *rdscal, integer *ipiv, integer
*jpiv);
/* Subroutine */ int clatps_(char *uplo, char *trans, char *diag, char *
normin, integer *n, complex *ap, complex *x, real *scale, real *cnorm,
integer *info);
/* Subroutine */ int clatrd_(char *uplo, integer *n, integer *nb, complex *a,
integer *lda, real *e, complex *tau, complex *w, integer *ldw);
/* Subroutine */ int clatrs_(char *uplo, char *trans, char *diag, char *
normin, integer *n, complex *a, integer *lda, complex *x, real *scale,
real *cnorm, integer *info);
/* Subroutine */ int clatrz_(integer *m, integer *n, integer *l, complex *a,
integer *lda, complex *tau, complex *work);
/* Subroutine */ int clatzm_(char *side, integer *m, integer *n, complex *v,
integer *incv, complex *tau, complex *c1, complex *c2, integer *ldc,
complex *work);
/* Subroutine */ int clauu2_(char *uplo, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int clauum_(char *uplo, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int cpbcon_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, real *anorm, real *rcond, complex *work, real *rwork,
integer *info);
/* Subroutine */ int cpbequ_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, real *s, real *scond, real *amax, integer *info);
/* Subroutine */ int cpbrfs_(char *uplo, integer *n, integer *kd, integer *
nrhs, complex *ab, integer *ldab, complex *afb, integer *ldafb,
complex *b, integer *ldb, complex *x, integer *ldx, real *ferr, real *
berr, complex *work, real *rwork, integer *info);
/* Subroutine */ int cpbstf_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, integer *info);
/* Subroutine */ int cpbsv_(char *uplo, integer *n, integer *kd, integer *
nrhs, complex *ab, integer *ldab, complex *b, integer *ldb, integer *
info);
/* Subroutine */ int cpbsvx_(char *fact, char *uplo, integer *n, integer *kd,
integer *nrhs, complex *ab, integer *ldab, complex *afb, integer *
ldafb, char *equed, real *s, complex *b, integer *ldb, complex *x,
integer *ldx, real *rcond, real *ferr, real *berr, complex *work,
real *rwork, integer *info);
/* Subroutine */ int cpbtf2_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, integer *info);
/* Subroutine */ int cpbtrf_(char *uplo, integer *n, integer *kd, complex *ab,
integer *ldab, integer *info);
/* Subroutine */ int cpbtrs_(char *uplo, integer *n, integer *kd, integer *
nrhs, complex *ab, integer *ldab, complex *b, integer *ldb, integer *
info);
/* Subroutine */ int cpocon_(char *uplo, integer *n, complex *a, integer *lda,
real *anorm, real *rcond, complex *work, real *rwork, integer *info);
/* Subroutine */ int cpoequ_(integer *n, complex *a, integer *lda, real *s,
real *scond, real *amax, integer *info);
/* Subroutine */ int cporfs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, complex *af, integer *ldaf, complex *b, integer *ldb,
complex *x, integer *ldx, real *ferr, real *berr, complex *work,
real *rwork, integer *info);
/* Subroutine */ int cposv_(char *uplo, integer *n, integer *nrhs, complex *a,
integer *lda, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cposvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *a, integer *lda, complex *af, integer *ldaf, char *
equed, real *s, complex *b, integer *ldb, complex *x, integer *ldx,
real *rcond, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int cpotf2_(char *uplo, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int cpotrf_(char *uplo, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int cpotri_(char *uplo, integer *n, complex *a, integer *lda,
integer *info);
/* Subroutine */ int cpotrs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cppcon_(char *uplo, integer *n, complex *ap, real *anorm,
real *rcond, complex *work, real *rwork, integer *info);
/* Subroutine */ int cppequ_(char *uplo, integer *n, complex *ap, real *s,
real *scond, real *amax, integer *info);
/* Subroutine */ int cpprfs_(char *uplo, integer *n, integer *nrhs, complex *
ap, complex *afp, complex *b, integer *ldb, complex *x, integer *ldx,
real *ferr, real *berr, complex *work, real *rwork, integer *info);
/* Subroutine */ int cppsv_(char *uplo, integer *n, integer *nrhs, complex *
ap, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cppsvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *ap, complex *afp, char *equed, real *s, complex *b,
integer *ldb, complex *x, integer *ldx, real *rcond, real *ferr, real
*berr, complex *work, real *rwork, integer *info);
/* Subroutine */ int cpptrf_(char *uplo, integer *n, complex *ap, integer *
info);
/* Subroutine */ int cpptri_(char *uplo, integer *n, complex *ap, integer *
info);
/* Subroutine */ int cpptrs_(char *uplo, integer *n, integer *nrhs, complex *
ap, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cptcon_(integer *n, real *d__, complex *e, real *anorm,
real *rcond, real *rwork, integer *info);
/* Subroutine */ int cptrfs_(char *uplo, integer *n, integer *nrhs, real *d__,
complex *e, real *df, complex *ef, complex *b, integer *ldb, complex
*x, integer *ldx, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int cptsv_(integer *n, integer *nrhs, real *d__, complex *e,
complex *b, integer *ldb, integer *info);
/* Subroutine */ int cptsvx_(char *fact, integer *n, integer *nrhs, real *d__,
complex *e, real *df, complex *ef, complex *b, integer *ldb, complex
*x, integer *ldx, real *rcond, real *ferr, real *berr, complex *work,
real *rwork, integer *info);
/* Subroutine */ int cpttrf_(integer *n, real *d__, complex *e, integer *info);
/* Subroutine */ int cpttrs_(char *uplo, integer *n, integer *nrhs, real *d__,
complex *e, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cptts2_(integer *iuplo, integer *n, integer *nrhs, real *
d__, complex *e, complex *b, integer *ldb);
/* Subroutine */ int crot_(integer *n, complex *cx, integer *incx, complex *
cy, integer *incy, real *c__, complex *s);
/* Subroutine */ int cspcon_(char *uplo, integer *n, complex *ap, integer *
ipiv, real *anorm, real *rcond, complex *work, integer *info);
/* Subroutine */ int cspmv_(char *uplo, integer *n, complex *alpha, complex *
ap, complex *x, integer *incx, complex *beta, complex *y, integer *
incy);
/* Subroutine */ int cspr_(char *uplo, integer *n, complex *alpha, complex *x,
integer *incx, complex *ap);
/* Subroutine */ int csprfs_(char *uplo, integer *n, integer *nrhs, complex *
ap, complex *afp, integer *ipiv, complex *b, integer *ldb, complex *x,
integer *ldx, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int cspsv_(char *uplo, integer *n, integer *nrhs, complex *
ap, integer *ipiv, complex *b, integer *ldb, integer *info);
/* Subroutine */ int cspsvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *ap, complex *afp, integer *ipiv, complex *b, integer *
ldb, complex *x, integer *ldx, real *rcond, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int csptrf_(char *uplo, integer *n, complex *ap, integer *
ipiv, integer *info);
/* Subroutine */ int csptri_(char *uplo, integer *n, complex *ap, integer *
ipiv, complex *work, integer *info);
/* Subroutine */ int csptrs_(char *uplo, integer *n, integer *nrhs, complex *
ap, integer *ipiv, complex *b, integer *ldb, integer *info);
/* Subroutine */ int csrot_(integer *n, complex *cx, integer *incx, complex *
cy, integer *incy, real *c__, real *s);
/* Subroutine */ int csrscl_(integer *n, real *sa, complex *sx, integer *incx);
/* Subroutine */ int cstedc_(char *compz, integer *n, real *d__, real *e,
complex *z__, integer *ldz, complex *work, integer *lwork, real *
rwork, integer *lrwork, integer *iwork, integer *liwork, integer *
info);
/* Subroutine */ int cstein_(integer *n, real *d__, real *e, integer *m, real
*w, integer *iblock, integer *isplit, complex *z__, integer *ldz,
real *work, integer *iwork, integer *ifail, integer *info);
/* Subroutine */ int csteqr_(char *compz, integer *n, real *d__, real *e,
complex *z__, integer *ldz, real *work, integer *info);
/* Subroutine */ int csycon_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, real *anorm, real *rcond, complex *work, integer *
info);
/* Subroutine */ int csymv_(char *uplo, integer *n, complex *alpha, complex *
a, integer *lda, complex *x, integer *incx, complex *beta, complex *y,
integer *incy);
/* Subroutine */ int csyr_(char *uplo, integer *n, complex *alpha, complex *x,
integer *incx, complex *a, integer *lda);
/* Subroutine */ int csyrfs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, complex *af, integer *ldaf, integer *ipiv, complex *
b, integer *ldb, complex *x, integer *ldx, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int csysv_(char *uplo, integer *n, integer *nrhs, complex *a,
integer *lda, integer *ipiv, complex *b, integer *ldb, complex *work,
integer *lwork, integer *info);
/* Subroutine */ int csysvx_(char *fact, char *uplo, integer *n, integer *
nrhs, complex *a, integer *lda, complex *af, integer *ldaf, integer *
ipiv, complex *b, integer *ldb, complex *x, integer *ldx, real *rcond,
real *ferr, real *berr, complex *work, integer *lwork, real *rwork,
integer *info);
/* Subroutine */ int csytf2_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, integer *info);
/* Subroutine */ int csytrf_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, complex *work, integer *lwork, integer *info);
/* Subroutine */ int csytri_(char *uplo, integer *n, complex *a, integer *lda,
integer *ipiv, complex *work, integer *info);
/* Subroutine */ int csytrs_(char *uplo, integer *n, integer *nrhs, complex *
a, integer *lda, integer *ipiv, complex *b, integer *ldb, integer *
info);
/* Subroutine */ int ctbcon_(char *norm, char *uplo, char *diag, integer *n,
integer *kd, complex *ab, integer *ldab, real *rcond, complex *work,
real *rwork, integer *info);
/* Subroutine */ int ctbrfs_(char *uplo, char *trans, char *diag, integer *n,
integer *kd, integer *nrhs, complex *ab, integer *ldab, complex *b,
integer *ldb, complex *x, integer *ldx, real *ferr, real *berr,
complex *work, real *rwork, integer *info);
/* Subroutine */ int ctbtrs_(char *uplo, char *trans, char *diag, integer *n,
integer *kd, integer *nrhs, complex *ab, integer *ldab, complex *b,
integer *ldb, integer *info);
/* Subroutine */ int ctgevc_(char *side, char *howmny, logical *select,
integer *n, complex *a, integer *lda, complex *b, integer *ldb,
complex *vl, integer *ldvl, complex *vr, integer *ldvr, integer *mm,
integer *m, complex *work, real *rwork, integer *info);
/* Subroutine */ int ctgex2_(logical *wantq, logical *wantz, integer *n,
complex *a, integer *lda, complex *b, integer *ldb, complex *q,
integer *ldq, complex *z__, integer *ldz, integer *j1, integer *info);
/* Subroutine */ int ctgexc_(logical *wantq, logical *wantz, integer *n,
complex *a, integer *lda, complex *b, integer *ldb, complex *q,
integer *ldq, complex *z__, integer *ldz, integer *ifst, integer *
ilst, integer *info);
/* Subroutine */ int ctgsen_(integer *ijob, logical *wantq, logical *wantz,
logical *select, integer *n, complex *a, integer *lda, complex *b,
integer *ldb, complex *alpha, complex *beta, complex *q, integer *ldq,
complex *z__, integer *ldz, integer *m, real *pl, real *pr, real *
dif, complex *work, integer *lwork, integer *iwork, integer *liwork,
integer *info);
/* Subroutine */ int ctgsja_(char *jobu, char *jobv, char *jobq, integer *m,
integer *p, integer *n, integer *k, integer *l, complex *a, integer *
lda, complex *b, integer *ldb, real *tola, real *tolb, real *alpha,
real *beta, complex *u, integer *ldu, complex *v, integer *ldv,
complex *q, integer *ldq, complex *work, integer *ncycle, integer *
info);
/* Subroutine */ int ctgsna_(char *job, char *howmny, logical *select,
integer *n, complex *a, integer *lda, complex *b, integer *ldb,
complex *vl, integer *ldvl, complex *vr, integer *ldvr, real *s, real
*dif, integer *mm, integer *m, complex *work, integer *lwork, integer
*iwork, integer *info);
/* Subroutine */ int ctgsy2_(char *trans, integer *ijob, integer *m, integer *
n, complex *a, integer *lda, complex *b, integer *ldb, complex *c__,
integer *ldc, complex *d__, integer *ldd, complex *e, integer *lde,
complex *f, integer *ldf, real *scale, real *rdsum, real *rdscal,
integer *info);
/* Subroutine */ int ctgsyl_(char *trans, integer *ijob, integer *m, integer *
n, complex *a, integer *lda, complex *b, integer *ldb, complex *c__,
integer *ldc, complex *d__, integer *ldd, complex *e, integer *lde,
complex *f, integer *ldf, real *scale, real *dif, complex *work,
integer *lwork, integer *iwork, integer *info);
/* Subroutine */ int ctpcon_(char *norm, char *uplo, char *diag, integer *n,
complex *ap, real *rcond, complex *work, real *rwork, integer *info);
/* Subroutine */ int ctprfs_(char *uplo, char *trans, char *diag, integer *n,
integer *nrhs, complex *ap, complex *b, integer *ldb, complex *x,
integer *ldx, real *ferr, real *berr, complex *work, real *rwork,
integer *info);
/* Subroutine */ int ctptri_(char *uplo, char *diag, integer *n, complex *ap,
integer *info);
/* Subroutine */ int ctptrs_(char *uplo, char *trans, char *diag, integer *n,
integer *nrhs, complex *ap, complex *b, integer *ldb, integer *info);
/* Subroutine */ int ctrcon_(char *norm, char *uplo, char *diag, integer *n,
complex *a, integer *lda, real *rcond, complex *work, real *rwork,
integer *info);
/* Subroutine */ int ctrevc_(char *side, char *howmny, logical *select,
integer *n, complex *t, integer *ldt, complex *vl, integer *ldvl,
complex *vr, integer *ldvr, integer *mm, integer *m, complex *work,
real *rwork, integer *info);
/* Subroutine */ int ctrexc_(char *compq, integer *n, complex *t, integer *