SRC/slaexc.f(3) Library Functions Manual SRC/slaexc.f(3)

SRC/slaexc.f


subroutine slaexc (wantq, n, t, ldt, q, ldq, j1, n1, n2, work, info)
SLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation.

SLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation.

Purpose:

!>
!> SLAEXC swaps adjacent diagonal blocks T11 and T22 of order 1 or 2 in
!> an upper quasi-triangular 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 elements equal and its off-diagonal elements of
!> opposite sign.
!> 

Parameters

WANTQ
!>          WANTQ is LOGICAL
!>          = .TRUE. : accumulate the transformation in the matrix Q;
!>          = .FALSE.: do not accumulate the transformation.
!> 

N

!>          N is INTEGER
!>          The order of the matrix T. N >= 0.
!> 

T

!>          T is 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

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

Q

!>          Q is 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

!>          LDQ is INTEGER
!>          The leading dimension of the array Q.
!>          LDQ >= 1; and if WANTQ is .TRUE., LDQ >= N.
!> 

J1

!>          J1 is INTEGER
!>          The index of the first row of the first block T11.
!> 

N1

!>          N1 is INTEGER
!>          The order of the first block T11. N1 = 0, 1 or 2.
!> 

N2

!>          N2 is INTEGER
!>          The order of the second block T22. N2 = 0, 1 or 2.
!> 

WORK

!>          WORK is REAL array, dimension (N)
!> 

INFO

!>          INFO is 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.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 136 of file slaexc.f.

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