table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ztgevc.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ztgevc.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ztgevc.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZTGEVC (side, howmny, select, n, s, lds, p, ldp,
vl, ldvl, vr, ldvr, mm, m, work, rwork, info)
ZTGEVC
Function/Subroutine Documentation¶
subroutine ZTGEVC (character side, character howmny, logical, dimension( * ) select, integer n, complex*16, dimension( lds, * ) s, integer lds, complex*16, dimension( ldp, * ) p, integer ldp, complex*16, dimension( ldvl, * ) vl, integer ldvl, complex*16, dimension( ldvr, * ) vr, integer ldvr, integer mm, integer m, complex*16, dimension( * ) work, double precision, dimension( * ) rwork, integer info)¶
ZTGEVC
Purpose:
!> !> ZTGEVC computes some or all of the right and/or left eigenvectors of !> a pair of complex matrices (S,P), where S and P are upper triangular. !> Matrix pairs of this type are produced by the generalized Schur !> factorization of a complex matrix pair (A,B): !> !> A = Q*S*Z**H, B = Q*P*Z**H !> !> as computed by ZGGHRD + ZHGEQZ. !> !> The right eigenvector x and the left eigenvector y of (S,P) !> corresponding to an eigenvalue w are defined by: !> !> S*x = w*P*x, (y**H)*S = w*(y**H)*P, !> !> where y**H denotes the conjugate transpose of y. !> The eigenvalues are not input to this routine, but are computed !> directly from the diagonal elements of S and P. !> !> This routine returns the matrices X and/or Y of right and left !> eigenvectors of (S,P), or the products Z*X and/or Q*Y, !> where Z and Q are input matrices. !> If Q and Z are the unitary factors from the generalized Schur !> factorization of a matrix pair (A,B), then Z*X and Q*Y !> are the matrices of right and left eigenvectors of (A,B). !>
Parameters
SIDE
!> SIDE is CHARACTER*1 !> = 'R': compute right eigenvectors only; !> = 'L': compute left eigenvectors only; !> = 'B': compute both right and left eigenvectors. !>
HOWMNY
!> HOWMNY is CHARACTER*1 !> = 'A': compute all right and/or left eigenvectors; !> = 'B': compute all right and/or left eigenvectors, !> backtransformed by the matrices in VR and/or VL; !> = 'S': compute selected right and/or left eigenvectors, !> specified by the logical array SELECT. !>
SELECT
!> SELECT is LOGICAL array, dimension (N) !> If HOWMNY='S', SELECT specifies the eigenvectors to be !> computed. The eigenvector corresponding to the j-th !> eigenvalue is computed if SELECT(j) = .TRUE.. !> Not referenced if HOWMNY = 'A' or 'B'. !>
N
!> N is INTEGER !> The order of the matrices S and P. N >= 0. !>
S
!> S is COMPLEX*16 array, dimension (LDS,N) !> The upper triangular matrix S from a generalized Schur !> factorization, as computed by ZHGEQZ. !>
LDS
!> LDS is INTEGER !> The leading dimension of array S. LDS >= max(1,N). !>
P
!> P is COMPLEX*16 array, dimension (LDP,N) !> The upper triangular matrix P from a generalized Schur !> factorization, as computed by ZHGEQZ. P must have real !> diagonal elements. !>
LDP
!> LDP is INTEGER !> The leading dimension of array P. LDP >= max(1,N). !>
VL
!> VL is COMPLEX*16 array, dimension (LDVL,MM) !> On entry, if SIDE = 'L' or 'B' and HOWMNY = 'B', VL must !> contain an N-by-N matrix Q (usually the unitary matrix Q !> of left Schur vectors returned by ZHGEQZ). !> On exit, if SIDE = 'L' or 'B', VL contains: !> if HOWMNY = 'A', the matrix Y of left eigenvectors of (S,P); !> if HOWMNY = 'B', the matrix Q*Y; !> if HOWMNY = 'S', the left eigenvectors of (S,P) specified by !> SELECT, stored consecutively in the columns of !> VL, in the same order as their eigenvalues. !> Not referenced if SIDE = 'R'. !>
LDVL
!> LDVL is INTEGER !> The leading dimension of array VL. LDVL >= 1, and if !> SIDE = 'L' or 'l' or 'B' or 'b', LDVL >= N. !>
VR
!> VR is COMPLEX*16 array, dimension (LDVR,MM) !> On entry, if SIDE = 'R' or 'B' and HOWMNY = 'B', VR must !> contain an N-by-N matrix Z (usually the unitary matrix Z !> of right Schur vectors returned by ZHGEQZ). !> On exit, if SIDE = 'R' or 'B', VR contains: !> if HOWMNY = 'A', the matrix X of right eigenvectors of (S,P); !> if HOWMNY = 'B', the matrix Z*X; !> if HOWMNY = 'S', the right eigenvectors of (S,P) specified by !> SELECT, stored consecutively in the columns of !> VR, in the same order as their eigenvalues. !> Not referenced if SIDE = 'L'. !>
LDVR
!> LDVR is INTEGER !> The leading dimension of the array VR. LDVR >= 1, and if !> SIDE = 'R' or 'B', LDVR >= N. !>
MM
!> MM is INTEGER !> The number of columns in the arrays VL and/or VR. MM >= M. !>
M
!> M is INTEGER !> The number of columns in the arrays VL and/or VR actually !> used to store the eigenvectors. If HOWMNY = 'A' or 'B', M !> is set to N. Each selected eigenvector occupies one column. !>
WORK
!> WORK is COMPLEX*16 array, dimension (2*N) !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (2*N) !>
INFO
!> INFO is INTEGER !> = 0: successful exit. !> < 0: if INFO = -i, the i-th argument had an illegal value. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 217 of file ztgevc.f.
Author¶
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