NAME¶

ZTREXC - reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that the diagonal element of T with row index IFST is moved to row ILST

SYNOPSIS¶

SUBROUTINE ZTREXC(

COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO )

CHARACTER COMPQ INTEGER IFST, ILST, INFO, LDQ, LDT, N COMPLEX*16 Q( LDQ, * ), T( LDT, * )

PURPOSE¶

ZTREXC reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that the diagonal element of T with row index IFST is moved to row ILST. The Schur form T is reordered by a unitary similarity transformation Z**H*T*Z, and optionally the matrix Q of Schur vectors is updated by postmultplying it with Z.

ARGUMENTS¶

COMPQ (input) CHARACTER*1

= 'V': update the matrix Q of Schur vectors;
= 'N': do not update Q.

N (input) INTEGER

The order of the matrix T. N >= 0.

T (input/output) COMPLEX*16 array, dimension (LDT,N)

On entry, the upper triangular matrix T. On exit, the reordered upper triangular matrix.

LDT (input) INTEGER

The leading dimension of the array T. LDT >= max(1,N).

Q (input/output) COMPLEX*16 array, dimension (LDQ,N)

On entry, if COMPQ = 'V', the matrix Q of Schur vectors. On exit, if COMPQ = 'V', Q has been postmultiplied by the unitary transformation matrix Z which reorders T. If COMPQ = 'N', Q is not referenced.

LDQ (input) INTEGER

The leading dimension of the array Q. LDQ >= max(1,N).

IFST (input) INTEGER

ILST (input) INTEGER Specify the reordering of the diagonal elements of T: The element with row index IFST is moved to row ILST by a sequence of transpositions between adjacent elements. 1 <= IFST <= N; 1 <= ILST <= N.

INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value