table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dtrexc.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dtrexc.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dtrexc.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DTREXC (compq, n, t, ldt, q, ldq, ifst, ilst,
work, info)
DTREXC
Function/Subroutine Documentation¶
subroutine DTREXC (character compq, integer n, double precision, dimension( ldt, * ) t, integer ldt, double precision, dimension( ldq, * ) q, integer ldq, integer ifst, integer ilst, double precision, dimension( * ) work, integer info)¶
DTREXC
Purpose:
!> !> DTREXC 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 DHSEQR), 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 dtrexc.f.
Author¶
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Version 3.12.0 | LAPACK |