ZTREXC - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)

NAMEZTREXC - 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

SYNOPSISSUBROUTINE 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, * )

PURPOSEZTREXC 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.

ARGUMENTSCOMPQ (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
0
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