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/* ../netlib/ctgsyl.f -- translated by f2c (version 20100827). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib;
on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */
#include "FLA_f2c.h" /* Table of constant values */
static complex c_b1 =
{
0.f,0.f
}
;
static integer c__2 = 2;
static integer c_n1 = -1;
static integer c__5 = 5;
static integer c__1 = 1;
static complex c_b44 =
{
-1.f,0.f
}
;
static complex c_b45 =
{
1.f,0.f
}
;
/* > \brief \b CTGSYL */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* > \htmlonly */
/* > Download CTGSYL + dependencies */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ctgsyl. f"> */
/* > [TGZ]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ctgsyl. f"> */
/* > [ZIP]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ctgsyl. f"> */
/* > [TXT]</a> */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE CTGSYL( TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, */
/* LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, */
/* IWORK, INFO ) */
/* .. Scalar Arguments .. */
/* CHARACTER TRANS */
/* INTEGER IJOB, INFO, LDA, LDB, LDC, LDD, LDE, LDF, */
/* $ LWORK, M, N */
/* REAL DIF, SCALE */
/* .. */
/* .. Array Arguments .. */
/* INTEGER IWORK( * ) */
/* COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * ), */
/* $ D( LDD, * ), E( LDE, * ), F( LDF, * ), */
/* $ WORK( * ) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > CTGSYL solves the generalized Sylvester equation: */
/* > */
/* > A * R - L * B = scale * C (1) */
/* > D * R - L * E = scale * F */
/* > */
/* > where R and L are unknown m-by-n matrices, (A, D), (B, E) and */
/* > (C, F) are given matrix pairs of size m-by-m, n-by-n and m-by-n, */
/* > respectively, with complex entries. A, B, D and E are upper */
/* > triangular (i.e., (A,D) and (B,E) in generalized Schur form). */
/* > */
/* > The solution (R, L) overwrites (C, F). 0 <= SCALE <= 1 */
/* > is an output scaling factor chosen to avoid overflow. */
/* > */
/* > In matrix notation (1) is equivalent to solve Zx = scale*b, where Z */
/* > is defined as */
/* > */
/* > Z = [ kron(In, A) -kron(B**H, Im) ] (2) */
/* > [ kron(In, D) -kron(E**H, Im) ], */
/* > */
/* > Here Ix is the identity matrix of size x and X**H is the conjugate */
/* > transpose of X. Kron(X, Y) is the Kronecker product between the */
/* > matrices X and Y. */
/* > */
/* > If TRANS = 'C', y in the conjugate transposed system Z**H *y = scale*b */
/* > is solved for, which is equivalent to solve for R and L in */
/* > */
/* > A**H * R + D**H * L = scale * C (3) */
/* > R * B**H + L * E**H = scale * -F */
/* > */
/* > This case (TRANS = 'C') is used to compute an one-norm-based estimate */
/* > of Dif[(A,D), (B,E)], the separation between the matrix pairs (A,D) */
/* > and (B,E), using CLACON. */
/* > */
/* > If IJOB >= 1, CTGSYL computes a Frobenius norm-based estimate of */
/* > Dif[(A,D),(B,E)]. That is, the reciprocal of a lower bound on the */
/* > reciprocal of the smallest singular value of Z. */
/* > */
/* > This is a level-3 BLAS algorithm. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] TRANS */
/* > \verbatim */
/* > TRANS is CHARACTER*1 */
/* > = 'N': solve the generalized sylvester equation (1). */
/* > = 'C': solve the "conjugate transposed" system (3). */
/* > \endverbatim */
/* > */
/* > \param[in] IJOB */
/* > \verbatim */
/* > IJOB is INTEGER */
/* > Specifies what kind of functionality to be performed. */
/* > =0: solve (1) only. */
/* > =1: The functionality of 0 and 3. */
/* > =2: The functionality of 0 and 4. */
/* > =3: Only an estimate of Dif[(A,D), (B,E)] is computed. */
/* > (look ahead strategy is used). */
/* > =4: Only an estimate of Dif[(A,D), (B,E)] is computed. */
/* > (CGECON on sub-systems is used). */
/* > Not referenced if TRANS = 'C'. */
/* > \endverbatim */
/* > */
/* > \param[in] M */
/* > \verbatim */
/* > M is INTEGER */
/* > The order of the matrices A and D, and the row dimension of */
/* > the matrices C, F, R and L. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The order of the matrices B and E, and the column dimension */
/* > of the matrices C, F, R and L. */
/* > \endverbatim */
/* > */
/* > \param[in] A */
/* > \verbatim */
/* > A is COMPLEX array, dimension (LDA, M) */
/* > The upper triangular matrix A. */
/* > \endverbatim */
/* > */
/* > \param[in] LDA */
/* > \verbatim */
/* > LDA is INTEGER */
/* > The leading dimension of the array A. LDA >= max(1, M). */
/* > \endverbatim */
/* > */
/* > \param[in] B */
/* > \verbatim */
/* > B is COMPLEX array, dimension (LDB, N) */
/* > The upper triangular matrix B. */
/* > \endverbatim */
/* > */
/* > \param[in] LDB */
/* > \verbatim */
/* > LDB is INTEGER */
/* > The leading dimension of the array B. LDB >= max(1, N). */
/* > \endverbatim */
/* > */
/* > \param[in,out] C */
/* > \verbatim */
/* > C is COMPLEX array, dimension (LDC, N) */
/* > On entry, C contains the right-hand-side of the first matrix */
/* > equation in (1) or (3). */
/* > On exit, if IJOB = 0, 1 or 2, C has been overwritten by */
/* > the solution R. If IJOB = 3 or 4 and TRANS = 'N', C holds R, */
/* > the solution achieved during the computation of the */
/* > Dif-estimate. */
/* > \endverbatim */
/* > */
/* > \param[in] LDC */
/* > \verbatim */
/* > LDC is INTEGER */
/* > The leading dimension of the array C. LDC >= max(1, M). */
/* > \endverbatim */
/* > */
/* > \param[in] D */
/* > \verbatim */
/* > D is COMPLEX array, dimension (LDD, M) */
/* > The upper triangular matrix D. */
/* > \endverbatim */
/* > */
/* > \param[in] LDD */
/* > \verbatim */
/* > LDD is INTEGER */
/* > The leading dimension of the array D. LDD >= max(1, M). */
/* > \endverbatim */
/* > */
/* > \param[in] E */
/* > \verbatim */
/* > E is COMPLEX array, dimension (LDE, N) */
/* > The upper triangular matrix E. */
/* > \endverbatim */
/* > */
/* > \param[in] LDE */
/* > \verbatim */
/* > LDE is INTEGER */
/* > The leading dimension of the array E. LDE >= max(1, N). */
/* > \endverbatim */
/* > */
/* > \param[in,out] F */
/* > \verbatim */
/* > F is COMPLEX array, dimension (LDF, N) */
/* > On entry, F contains the right-hand-side of the second matrix */
/* > equation in (1) or (3). */
/* > On exit, if IJOB = 0, 1 or 2, F has been overwritten by */
/* > the solution L. If IJOB = 3 or 4 and TRANS = 'N', F holds L, */
/* > the solution achieved during the computation of the */
/* > Dif-estimate. */
/* > \endverbatim */
/* > */
/* > \param[in] LDF */
/* > \verbatim */
/* > LDF is INTEGER */
/* > The leading dimension of the array F. LDF >= max(1, M). */
/* > \endverbatim */
/* > */
/* > \param[out] DIF */
/* > \verbatim */
/* > DIF is REAL */
/* > On exit DIF is the reciprocal of a lower bound of the */
/* > reciprocal of the Dif-function, i.e. DIF is an upper bound of */
/* > Dif[(A,D), (B,E)] = sigma-min(Z), where Z as in (2). */
/* > IF IJOB = 0 or TRANS = 'C', DIF is not referenced. */
/* > \endverbatim */
/* > */
/* > \param[out] SCALE */
/* > \verbatim */
/* > SCALE is REAL */
/* > On exit SCALE is the scaling factor in (1) or (3). */
/* > If 0 < SCALE < 1, C and F hold the solutions R and L, resp., */
/* > to a slightly perturbed system but the input matrices A, B, */
/* > D and E have not been changed. If SCALE = 0, R and L will */
/* > hold the solutions to the homogenious system with C = F = 0. */
/* > \endverbatim */
/* > */
/* > \param[out] WORK */
/* > \verbatim */
/* > WORK is COMPLEX array, dimension (MAX(1,LWORK)) */
/* > On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
/* > \endverbatim */
/* > */
/* > \param[in] LWORK */
/* > \verbatim */
/* > LWORK is INTEGER */
/* > The dimension of the array WORK. LWORK > = 1. */
/* > If IJOB = 1 or 2 and TRANS = 'N', LWORK >= max(1,2*M*N). */
/* > */
/* > If LWORK = -1, then a workspace query is assumed;
the routine */
/* > only calculates the optimal size of the WORK array, returns */
/* > this value as the first entry of the WORK array, and no error */
/* > message related to LWORK is issued by XERBLA. */
/* > \endverbatim */
/* > */
/* > \param[out] IWORK */
/* > \verbatim */
/* > IWORK is INTEGER array, dimension (M+N+2) */
/* > \endverbatim */
/* > */
/* > \param[out] INFO */
/* > \verbatim */
/* > INFO is INTEGER */
/* > =0: successful exit */
/* > <0: If INFO = -i, the i-th argument had an illegal value. */
/* > >0: (A, D) and (B, E) have common or very close */
/* > eigenvalues. */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \date November 2011 */
/* > \ingroup complexSYcomputational */
/* > \par Contributors: */
/* ================== */
/* > */
/* > Bo Kagstrom and Peter Poromaa, Department of Computing Science, */
/* > Umea University, S-901 87 Umea, Sweden. */
/* > \par References: */
/* ================ */
/* > */
/* > [1] B. Kagstrom and P. Poromaa, LAPACK-Style Algorithms and Software */
/* > for Solving the Generalized Sylvester Equation and Estimating the */
/* > Separation between Regular Matrix Pairs, Report UMINF - 93.23, */
/* > Department of Computing Science, Umea University, S-901 87 Umea, */
/* > Sweden, December 1993, Revised April 1994, Also as LAPACK Working */
/* > Note 75. To appear in ACM Trans. on Math. Software, Vol 22, */
/* > No 1, 1996. */
/* > \n */
/* > [2] B. Kagstrom, A Perturbation Analysis of the Generalized Sylvester */
/* > Equation (AR - LB, DR - LE ) = (C, F), SIAM J. Matrix Anal. */
/* > Appl., 15(4):1045-1060, 1994. */
/* > \n */
/* > [3] B. Kagstrom and L. Westin, Generalized Schur Methods with */
/* > Condition Estimators for Solving the Generalized Sylvester */
/* > Equation, IEEE Transactions on Automatic Control, Vol. 34, No. 7, */
/* > July 1989, pp 745-751. */
/* > */
/* ===================================================================== */
/* 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)
{
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, d_dim1, d_offset, e_dim1, e_offset, f_dim1, f_offset, i__1, i__2, i__3, i__4;
complex q__1;
/* Builtin functions */
double sqrt(doublereal);
/* Local variables */
integer i__, j, k, p, q, ie, je, mb, nb, is, js, pq;
real dsum;
extern /* Subroutine */
int cscal_(integer *, complex *, complex *, integer *), cgemm_(char *, char *, integer *, integer *, integer * , complex *, complex *, integer *, complex *, integer *, complex * , complex *, integer *);
extern logical lsame_(char *, char *);
integer ifunc, linfo, lwmin;
real scale2;
extern /* Subroutine */
int ctgsy2_(char *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, real *, real *, real *, integer *);
real dscale, scaloc;
extern /* Subroutine */
int clacpy_(char *, integer *, integer *, complex *, integer *, complex *, integer *), claset_(char *, integer *, integer *, complex *, complex *, complex *, integer *), xerbla_(char *, integer *);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *);
integer iround;
logical notran;
integer isolve;
logical lquery;
/* -- LAPACK computational routine (version 3.4.0) -- */
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* November 2011 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* ===================================================================== */
/* Replaced various illegal calls to CCOPY by calls to CLASET. */
/* Sven Hammarling, 1/5/02. */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Decode and test input parameters */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
d_dim1 = *ldd;
d_offset = 1 + d_dim1;
d__ -= d_offset;
e_dim1 = *lde;
e_offset = 1 + e_dim1;
e -= e_offset;
f_dim1 = *ldf;
f_offset = 1 + f_dim1;
f -= f_offset;
--work;
--iwork;
/* Function Body */
*info = 0;
notran = lsame_(trans, "N");
lquery = *lwork == -1;
if (! notran && ! lsame_(trans, "C"))
{
*info = -1;
}
else if (notran)
{
if (*ijob < 0 || *ijob > 4)
{
*info = -2;
}
}
if (*info == 0)
{
if (*m <= 0)
{
*info = -3;
}
else if (*n <= 0)
{
*info = -4;
}
else if (*lda < max(1,*m))
{
*info = -6;
}
else if (*ldb < max(1,*n))
{
*info = -8;
}
else if (*ldc < max(1,*m))
{
*info = -10;
}
else if (*ldd < max(1,*m))
{
*info = -12;
}
else if (*lde < max(1,*n))
{
*info = -14;
}
else if (*ldf < max(1,*m))
{
*info = -16;
}
}
if (*info == 0)
{
if (notran)
{
if (*ijob == 1 || *ijob == 2)
{
/* Computing MAX */
i__1 = 1;
i__2 = (*m << 1) * *n; // , expr subst
lwmin = max(i__1,i__2);
}
else
{
lwmin = 1;
}
}
else
{
lwmin = 1;
}
work[1].r = (real) lwmin;
work[1].i = 0.f; // , expr subst
if (*lwork < lwmin && ! lquery)
{
*info = -20;
}
}
if (*info != 0)
{
i__1 = -(*info);
xerbla_("CTGSYL", &i__1);
return 0;
}
else if (lquery)
{
return 0;
}
/* Quick return if possible */
if (*m == 0 || *n == 0)
{
*scale = 1.f;
if (notran)
{
if (*ijob != 0)
{
*dif = 0.f;
}
}
return 0;
}
/* Determine optimal block sizes MB and NB */
mb = ilaenv_(&c__2, "CTGSYL", trans, m, n, &c_n1, &c_n1);
nb = ilaenv_(&c__5, "CTGSYL", trans, m, n, &c_n1, &c_n1);
isolve = 1;
ifunc = 0;
if (notran)
{
if (*ijob >= 3)
{
ifunc = *ijob - 2;
claset_("F", m, n, &c_b1, &c_b1, &c__[c_offset], ldc);
claset_("F", m, n, &c_b1, &c_b1, &f[f_offset], ldf);
}
else if (*ijob >= 1 && notran)
{
isolve = 2;
}
}
if (mb <= 1 && nb <= 1 || mb >= *m && nb >= *n)
{
/* Use unblocked Level 2 solver */
i__1 = isolve;
for (iround = 1;
iround <= i__1;
++iround)
{
*scale = 1.f;
dscale = 0.f;
dsum = 1.f;
pq = *m * *n;
ctgsy2_(trans, &ifunc, m, n, &a[a_offset], lda, &b[b_offset], ldb, &c__[c_offset], ldc, &d__[d_offset], ldd, &e[e_offset], lde, &f[f_offset], ldf, scale, &dsum, &dscale, info);
if (dscale != 0.f)
{
if (*ijob == 1 || *ijob == 3)
{
*dif = sqrt((real) ((*m << 1) * *n)) / (dscale * sqrt( dsum));
}
else
{
*dif = sqrt((real) pq) / (dscale * sqrt(dsum));
}
}
if (isolve == 2 && iround == 1)
{
if (notran)
{
ifunc = *ijob;
}
scale2 = *scale;
clacpy_("F", m, n, &c__[c_offset], ldc, &work[1], m);
clacpy_("F", m, n, &f[f_offset], ldf, &work[*m * *n + 1], m);
claset_("F", m, n, &c_b1, &c_b1, &c__[c_offset], ldc);
claset_("F", m, n, &c_b1, &c_b1, &f[f_offset], ldf) ;
}
else if (isolve == 2 && iround == 2)
{
clacpy_("F", m, n, &work[1], m, &c__[c_offset], ldc);
clacpy_("F", m, n, &work[*m * *n + 1], m, &f[f_offset], ldf);
*scale = scale2;
}
/* L30: */
}
return 0;
}
/* Determine block structure of A */
p = 0;
i__ = 1;
L40:
if (i__ > *m)
{
goto L50;
}
++p;
iwork[p] = i__;
i__ += mb;
if (i__ >= *m)
{
goto L50;
}
goto L40;
L50:
iwork[p + 1] = *m + 1;
if (iwork[p] == iwork[p + 1])
{
--p;
}
/* Determine block structure of B */
q = p + 1;
j = 1;
L60:
if (j > *n)
{
goto L70;
}
++q;
iwork[q] = j;
j += nb;
if (j >= *n)
{
goto L70;
}
goto L60;
L70:
iwork[q + 1] = *n + 1;
if (iwork[q] == iwork[q + 1])
{
--q;
}
if (notran)
{
i__1 = isolve;
for (iround = 1;
iround <= i__1;
++iround)
{
/* Solve (I, J) - subsystem */
/* A(I, I) * R(I, J) - L(I, J) * B(J, J) = C(I, J) */
/* D(I, I) * R(I, J) - L(I, J) * E(J, J) = F(I, J) */
/* for I = P, P - 1, ..., 1;
J = 1, 2, ..., Q */
pq = 0;
*scale = 1.f;
dscale = 0.f;
dsum = 1.f;
i__2 = q;
for (j = p + 2;
j <= i__2;
++j)
{
js = iwork[j];
je = iwork[j + 1] - 1;
nb = je - js + 1;
for (i__ = p;
i__ >= 1;
--i__)
{
is = iwork[i__];
ie = iwork[i__ + 1] - 1;
mb = ie - is + 1;
ctgsy2_(trans, &ifunc, &mb, &nb, &a[is + is * a_dim1], lda, &b[js + js * b_dim1], ldb, &c__[is + js * c_dim1], ldc, &d__[is + is * d_dim1], ldd, &e[js + js * e_dim1], lde, &f[is + js * f_dim1], ldf, & scaloc, &dsum, &dscale, &linfo);
if (linfo > 0)
{
*info = linfo;
}
pq += mb * nb;
if (scaloc != 1.f)
{
i__3 = js - 1;
for (k = 1;
k <= i__3;
++k)
{
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &c__[k * c_dim1 + 1], &c__1);
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L80: */
}
i__3 = je;
for (k = js;
k <= i__3;
++k)
{
i__4 = is - 1;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &c__[k * c_dim1 + 1], &c__1);
i__4 = is - 1;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L90: */
}
i__3 = je;
for (k = js;
k <= i__3;
++k)
{
i__4 = *m - ie;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &c__[ie + 1 + k * c_dim1], & c__1);
i__4 = *m - ie;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &f[ie + 1 + k * f_dim1], & c__1);
/* L100: */
}
i__3 = *n;
for (k = je + 1;
k <= i__3;
++k)
{
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &c__[k * c_dim1 + 1], &c__1);
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L110: */
}
*scale *= scaloc;
}
/* Substitute R(I,J) and L(I,J) into remaining equation. */
if (i__ > 1)
{
i__3 = is - 1;
cgemm_("N", "N", &i__3, &nb, &mb, &c_b44, &a[is * a_dim1 + 1], lda, &c__[is + js * c_dim1], ldc, &c_b45, &c__[js * c_dim1 + 1], ldc);
i__3 = is - 1;
cgemm_("N", "N", &i__3, &nb, &mb, &c_b44, &d__[is * d_dim1 + 1], ldd, &c__[is + js * c_dim1], ldc, &c_b45, &f[js * f_dim1 + 1], ldf);
}
if (j < q)
{
i__3 = *n - je;
cgemm_("N", "N", &mb, &i__3, &nb, &c_b45, &f[is + js * f_dim1], ldf, &b[js + (je + 1) * b_dim1], ldb, &c_b45, &c__[is + (je + 1) * c_dim1], ldc);
i__3 = *n - je;
cgemm_("N", "N", &mb, &i__3, &nb, &c_b45, &f[is + js * f_dim1], ldf, &e[js + (je + 1) * e_dim1], lde, &c_b45, &f[is + (je + 1) * f_dim1], ldf);
}
/* L120: */
}
/* L130: */
}
if (dscale != 0.f)
{
if (*ijob == 1 || *ijob == 3)
{
*dif = sqrt((real) ((*m << 1) * *n)) / (dscale * sqrt( dsum));
}
else
{
*dif = sqrt((real) pq) / (dscale * sqrt(dsum));
}
}
if (isolve == 2 && iround == 1)
{
if (notran)
{
ifunc = *ijob;
}
scale2 = *scale;
clacpy_("F", m, n, &c__[c_offset], ldc, &work[1], m);
clacpy_("F", m, n, &f[f_offset], ldf, &work[*m * *n + 1], m);
claset_("F", m, n, &c_b1, &c_b1, &c__[c_offset], ldc);
claset_("F", m, n, &c_b1, &c_b1, &f[f_offset], ldf) ;
}
else if (isolve == 2 && iround == 2)
{
clacpy_("F", m, n, &work[1], m, &c__[c_offset], ldc);
clacpy_("F", m, n, &work[*m * *n + 1], m, &f[f_offset], ldf);
*scale = scale2;
}
/* L150: */
}
}
else
{
/* Solve transposed (I, J)-subsystem */
/* A(I, I)**H * R(I, J) + D(I, I)**H * L(I, J) = C(I, J) */
/* R(I, J) * B(J, J) + L(I, J) * E(J, J) = -F(I, J) */
/* for I = 1,2,..., P;
J = Q, Q-1,..., 1 */
*scale = 1.f;
i__1 = p;
for (i__ = 1;
i__ <= i__1;
++i__)
{
is = iwork[i__];
ie = iwork[i__ + 1] - 1;
mb = ie - is + 1;
i__2 = p + 2;
for (j = q;
j >= i__2;
--j)
{
js = iwork[j];
je = iwork[j + 1] - 1;
nb = je - js + 1;
ctgsy2_(trans, &ifunc, &mb, &nb, &a[is + is * a_dim1], lda, & b[js + js * b_dim1], ldb, &c__[is + js * c_dim1], ldc, &d__[is + is * d_dim1], ldd, &e[js + js * e_dim1], lde, &f[is + js * f_dim1], ldf, &scaloc, &dsum, & dscale, &linfo);
if (linfo > 0)
{
*info = linfo;
}
if (scaloc != 1.f)
{
i__3 = js - 1;
for (k = 1;
k <= i__3;
++k)
{
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &c__[k * c_dim1 + 1], &c__1);
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L160: */
}
i__3 = je;
for (k = js;
k <= i__3;
++k)
{
i__4 = is - 1;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &c__[k * c_dim1 + 1], &c__1);
i__4 = is - 1;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L170: */
}
i__3 = je;
for (k = js;
k <= i__3;
++k)
{
i__4 = *m - ie;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &c__[ie + 1 + k * c_dim1], &c__1) ;
i__4 = *m - ie;
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(&i__4, &q__1, &f[ie + 1 + k * f_dim1], &c__1);
/* L180: */
}
i__3 = *n;
for (k = je + 1;
k <= i__3;
++k)
{
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &c__[k * c_dim1 + 1], &c__1);
q__1.r = scaloc;
q__1.i = 0.f; // , expr subst
cscal_(m, &q__1, &f[k * f_dim1 + 1], &c__1);
/* L190: */
}
*scale *= scaloc;
}
/* Substitute R(I,J) and L(I,J) into remaining equation. */
if (j > p + 2)
{
i__3 = js - 1;
cgemm_("N", "C", &mb, &i__3, &nb, &c_b45, &c__[is + js * c_dim1], ldc, &b[js * b_dim1 + 1], ldb, &c_b45, & f[is + f_dim1], ldf);
i__3 = js - 1;
cgemm_("N", "C", &mb, &i__3, &nb, &c_b45, &f[is + js * f_dim1], ldf, &e[js * e_dim1 + 1], lde, &c_b45, & f[is + f_dim1], ldf);
}
if (i__ < p)
{
i__3 = *m - ie;
cgemm_("C", "N", &i__3, &nb, &mb, &c_b44, &a[is + (ie + 1) * a_dim1], lda, &c__[is + js * c_dim1], ldc, & c_b45, &c__[ie + 1 + js * c_dim1], ldc);
i__3 = *m - ie;
cgemm_("C", "N", &i__3, &nb, &mb, &c_b44, &d__[is + (ie + 1) * d_dim1], ldd, &f[is + js * f_dim1], ldf, & c_b45, &c__[ie + 1 + js * c_dim1], ldc);
}
/* L200: */
}
/* L210: */
}
}
work[1].r = (real) lwmin;
work[1].i = 0.f; // , expr subst
return 0;
/* End of CTGSYL */
}
/* ctgsyl_ */
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