
SLAEXC(l) ) SLAEXC(l)
NAME
SLAEXC  swap adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasitri
angular matrix T by an orthogonal similarity transformation
SYNOPSIS
SUBROUTINE SLAEXC( WANTQ, N, T, LDT, Q, LDQ, J1, N1, N2, WORK, INFO )
LOGICAL WANTQ
INTEGER INFO, J1, LDQ, LDT, N, N1, N2
REAL Q( LDQ, * ), T( LDT, * ), WORK( * )
PURPOSE
SLAEXC swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasitrian
gular matrix T by an orthogonal similarity transformation. T must be in Schur canonical
form, that is, block upper triangular with 1by1 and 2by2 diagonal blocks; each 2by2
diagonal block has its diagonal elemnts equal and its offdiagonal elements of opposite
sign.
ARGUMENTS
WANTQ (input) LOGICAL
= .TRUE. : accumulate the transformation in the matrix Q;
= .FALSE.: do not accumulate the transformation.
N (input) INTEGER
The order of the matrix T. N >= 0.
T (input/output) REAL array, dimension (LDT,N)
On entry, the upper quasitriangular matrix T, in Schur canonical form. On exit,
the updated matrix T, again in Schur canonical form.
LDT (input) INTEGER
The leading dimension of the array T. LDT >= max(1,N).
Q (input/output) REAL array, dimension (LDQ,N)
On entry, if WANTQ is .TRUE., the orthogonal matrix Q. On exit, if WANTQ is
.TRUE., the updated matrix Q. If WANTQ is .FALSE., Q is not referenced.
LDQ (input) INTEGER
The leading dimension of the array Q. LDQ >= 1; and if WANTQ is .TRUE., LDQ >= N.
J1 (input) INTEGER
The index of the first row of the first block T11.
N1 (input) INTEGER
The order of the first block T11. N1 = 0, 1 or 2.
N2 (input) INTEGER
The order of the second block T22. N2 = 0, 1 or 2.
WORK (workspace) REAL array, dimension (N)
INFO (output) INTEGER
= 0: successful exit
= 1: the transformed matrix T would be too far from Schur form; the blocks are not
swapped and T and Q are unchanged.
LAPACK version 3.0 15 June 2000 SLAEXC(l) 
