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ldp(7) [debian man page]

LDP(7)							 Miscellaneous Information Manual						    LDP(7)

NAME
LDP - Intro to the Linux Documentation Project, with help, guides and documents SYNOPSIS
The Linux Documentation Project (LDP) provides a variety of free documentation resources including guides, FAQs, HOWTOs, and man-pages to the Linux community. AUTHORS
The various documents in the LDP archives are maintained by individual authors, and are listed in the beginning of each HOWTO. If you have any questions or inputs to a document we encourage you to contact the authors directly. WEB PAGES
The LDP has its own dedicated web site as do many of the various translations projects which are linked from the main LDP web site at: http://www.tldp.org/ MAN PAGES
A web page with status information for manual pages and translations is found at: http://www.win.tue.nl/~aeb/linux/man/ MAILING LISTS
LDP has a number of mailing lists, such as <announce@en.tlpd.org> Announcements from the LDP project <discuss@en.tldp.org> General discussion on the LDP project <docbook@en.tldp.org> Questions about the use of DocBook For subscription information, see the website. If you are interested in DocBook beyond the simple markup of your LDP document, you may want to consider joining one of the OASIS DocBook mailing lists. Please see http://docbook.org/mailinglist/index.html for more information. FILES
Most distributions include the HOWTOs and mini-HOWTOs in the installation /usr/doc/ (old place for documentation) /usr/share/doc/ (new place for documentation) /usr/share/doc/HOWTO/ (HOWTO files) /usr/share/doc/HOWTO/mini/ (mini-HOWTO files) SEE ALSO
info(1), man(1), xman(1x) info pages as read with emacs(1) or info(1) LDP
2001-11-15 LDP(7)

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ctgevc.f(3)							      LAPACK							       ctgevc.f(3)

NAME
ctgevc.f - SYNOPSIS
Functions/Subroutines subroutine ctgevc (SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTGEVC Function/Subroutine Documentation subroutine ctgevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lds, * )S, integerLDS, complex, dimension( ldp, * )P, integerLDP, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR, integerLDVR, integerMM, integerM, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CTGEVC Purpose: CTGEVC 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 CGGHRD + CHGEQZ. 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 tranpose 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 array, dimension (LDS,N) The upper triangular matrix S from a generalized Schur factorization, as computed by CHGEQZ. LDS LDS is INTEGER The leading dimension of array S. LDS >= max(1,N). P P is COMPLEX array, dimension (LDP,N) The upper triangular matrix P from a generalized Schur factorization, as computed by CHGEQZ. P must have real diagonal elements. LDP LDP is INTEGER The leading dimension of array P. LDP >= max(1,N). VL VL is COMPLEX 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 CHGEQZ). 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 array, dimension (LDVR,MM) On entry, if SIDE = 'R' or 'B' and HOWMNY = 'B', VR must contain an N-by-N matrix Q (usually the unitary matrix Z of right Schur vectors returned by CHGEQZ). 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 array, dimension (2*N) RWORK RWORK is REAL 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. Date: November 2011 Definition at line 219 of file ctgevc.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 ctgevc.f(3)
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