LAPACK
3.6.1
LAPACK: Linear Algebra PACKage
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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
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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.
[in] | COMPQ | COMPQ is CHARACTER*1 = 'V': update the matrix Q of Schur vectors; = 'N': do not update Q. |
[in] | N | N is INTEGER The order of the matrix T. N >= 0. |
[in,out] | 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. |
[in] | LDT | LDT is INTEGER The leading dimension of the array T. LDT >= max(1,N). |
[in,out] | 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. |
[in] | LDQ | LDQ is INTEGER The leading dimension of the array Q. LDQ >= max(1,N). |
[in,out] | IFST | IFST is INTEGER |
[in,out] | 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. |
[out] | WORK | WORK is REAL array, dimension (N) |
[out] | 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. |
Definition at line 148 of file strexc.f.