table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/strexc.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/strexc.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/strexc.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine STREXC (compq, n, t, ldt, q, ldq, ifst, ilst,
work, info)
STREXC
Function/Subroutine Documentation¶
subroutine STREXC (character compq, integer n, real, dimension( ldt, * ) t, integer ldt, real, dimension( ldq, * ) q, integer ldq, integer ifst, integer ilst, real, dimension( * ) work, integer info)¶
STREXC
Purpose:
!> !> STREXC 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 SHSEQR), 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
COMPQ
!> COMPQ is CHARACTER*1 !> = 'V': update the matrix Q of Schur vectors; !> = 'N': do not update Q. !>
N
!> N is INTEGER !> The order of the matrix T. N >= 0. !> If N == 0 arguments ILST and IFST may be any value. !>
T
!> T is REAL array, dimension (LDT,N) !> On entry, the upper quasi-triangular matrix T, in Schur !> Schur canonical form. !> On exit, the reordered upper quasi-triangular matrix, 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 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. !>
LDQ
!> LDQ is INTEGER !> The leading dimension of the array Q. LDQ >= 1, and if !> COMPQ = 'V', LDQ >= max(1,N). !>
IFST
!> IFST is INTEGER !>
ILST
!> ILST 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 !> 2-by-2 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. !>
WORK
!> WORK is REAL array, dimension (N) !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> = 1: two adjacent blocks were too close to swap (the problem !> is very ill-conditioned); 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.
Definition at line 146 of file strexc.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |