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RedHat 9 (Linux i386) - man page for slaexc (redhat section l)

SLAEXC(l)					)					SLAEXC(l)

NAME
       SLAEXC  - swap adjacent diagonal blocks T11 and T22 of order 1 or 2 in an upper quasi-tri-
       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 quasi-trian-
       gular  matrix  T by an orthogonal similarity transformation.  T must be in Schur canonical
       form, that is, block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each  2-by-2
       diagonal  block	has  its diagonal elemnts equal and its off-diagonal 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 quasi-triangular 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)


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