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

NAME
       SRC/slaexc.f

SYNOPSIS
   Functions/Subroutines
       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.

Function/Subroutine Documentation
   subroutine slaexc (logical wantq, integer n, real, dimension( ldt, * ) t,
       integer ldt, real, dimension( ldq, * ) q, integer ldq, integer j1,
       integer n1, integer n2, real, dimension( * ) work, integer info)
       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.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/slaexc.f(3)