DTREXC (3)  Linux Man Pages
NAME
dtrexc.f 
SYNOPSIS
Functions/Subroutines
subroutine dtrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, INFO)
DTREXC
Function/Subroutine Documentation
subroutine dtrexc (characterCOMPQ, integerN, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( ldq, * )Q, integerLDQ, integerIFST, integerILST, double precision, dimension( * )WORK, integerINFO)
DTREXC
Purpose:

DTREXC reorders the real Schur factorization of a real matrix A = Q*T*Q**T, so that the diagonal block of T with row index IFST is moved to row ILST. The real Schur form T is reordered by an orthogonal similarity transformation Z**T*T*Z, and optionally the matrix Q of Schur vectors is updated by postmultiplying it with Z. T must be in Schur canonical form (as returned by DHSEQR), that is, block upper triangular with 1by1 and 2by2 diagonal blocks; each 2by2 diagonal block has its diagonal elements equal and its offdiagonal elements of opposite sign.
Parameters:

COMPQ
COMPQ is CHARACTER*1 = 'V': update the matrix Q of Schur vectors; = 'N': do not update Q.
NN is INTEGER The order of the matrix T. N >= 0.
TT is DOUBLE PRECISION array, dimension (LDT,N) On entry, the upper quasitriangular matrix T, in Schur Schur canonical form. On exit, the reordered upper quasitriangular matrix, again in Schur canonical form.
LDTLDT is INTEGER The leading dimension of the array T. LDT >= max(1,N).
QQ is DOUBLE PRECISION 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 orthogonal transformation matrix Z which reorders T. If COMPQ = 'N', Q is not referenced.
LDQLDQ is INTEGER The leading dimension of the array Q. LDQ >= max(1,N).
IFSTIFST is INTEGER
ILSTILST is INTEGER Specify the reordering of the diagonal blocks of T. The block with row index IFST is moved to row ILST, by a sequence of transpositions between adjacent blocks. On exit, if IFST pointed on entry to the second row of a 2by2 block, it is changed to point to the first row; ILST always points to the first row of the block in its final position (which may differ from its input value by +1 or 1). 1 <= IFST <= N; 1 <= ILST <= N.
WORKWORK is DOUBLE PRECISION array, dimension (N)
INFOINFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value = 1: two adjacent blocks were too close to swap (the problem is very illconditioned); T may have been partially reordered, and ILST points to the first row of the current position of the block being moved.
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 November 2011
Definition at line 146 of file dtrexc.f.
Author
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