Home Search Forums Register Forum Rules Man Pages FAQ Members Search Today's Posts Mark Forums Read

# RedHat 9 (Linux i386) - man page for zlatrz (redhat section l)

Linux & Unix Commands - Search Man Pages
 Man Page or Keyword Search: man All Sections 1 - General Commands 1m - System Admin 2 - System Calls 3 - Subroutines 4 - Special Files 5 - File Formats 6 - Games 7 - Macros and Conventions 8 - Maintenance Commands 9 - Kernel Interface N - New Commands Select Man Page Set:       Linux 2.6 RedHat 9 (Linux i386) Debian 7.7 SuSE 11.3 CentOS 7.0 SunOS 5.10 OpenSolaris 2009.06 BSD 2.11 FreeBSD 11.0 NetBSD 6.1.5 OSX 10.6.2 OpenDarwin 7.2.1 ULTRIX 4.2 PHP 5.6 Minix 2.0 Plan 9 Unix Version 7 OSF1 5.1 (alpha) POSIX 1003.1 X11R7.4 XFree86 4.7.0 all unix.com man page sets apropos Keyword Search (sections above)

 ZLATRZ(l) ) ZLATRZ(l) NAME ZLATRZ - factor the M-by-(M+L) complex upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means of unitary transformations, where Z is an (M+L)-by-(M+L) unitary matrix and, R and A1 are M-by-M upper triangular matrices SYNOPSIS SUBROUTINE ZLATRZ( M, N, L, A, LDA, TAU, WORK ) INTEGER L, LDA, M, N COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) PURPOSE ZLATRZ factors the M-by-(M+L) complex upper trapezoidal matrix [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means of unitary transformations, where Z is an (M+L)-by-(M+L) unitary matrix and, R and A1 are M-by-M upper triangular matrices. ARGUMENTS M (input) INTEGER The number of rows of the matrix A. M >= 0. N (input) INTEGER The number of columns of the matrix A. N >= 0. L (input) INTEGER The number of columns of the matrix A containing the meaningful part of the House- holder vectors. N-M >= L >= 0. A (input/output) COMPLEX*16 array, dimension (LDA,N) On entry, the leading M-by-N upper trapezoidal part of the array A must contain the matrix to be factorized. On exit, the leading M-by-M upper triangular part of A contains the upper triangular matrix R, and elements N-L+1 to N of the first M rows of A, with the array TAU, represent the unitary matrix Z as a product of M elementary reflectors. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,M). TAU (output) COMPLEX*16 array, dimension (M) The scalar factors of the elementary reflectors. WORK (workspace) COMPLEX*16 array, dimension (M) FURTHER DETAILS Based on contributions by A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA The factorization is obtained by Householder's method. The kth transformation matrix, Z( k ), which is used to introduce zeros into the ( m - k + 1 )th row of A, is given in the form Z( k ) = ( I 0 ), ( 0 T( k ) ) where T( k ) = I - tau*u( k )*u( k )', u( k ) = ( 1 ), ( 0 ) ( z( k ) ) tau is a scalar and z( k ) is an l element vector. tau and z( k ) are chosen to annihilate the elements of the kth row of A2. The scalar tau is returned in the kth element of TAU and the vector u( k ) in the kth row of A2, such that the elements of z( k ) are in a( k, l + 1 ), ..., a( k, n ). The ele- ments of R are returned in the upper triangular part of A1. Z is given by Z = Z( 1 ) * Z( 2 ) * ... * Z( m ). LAPACK version 3.0 15 June 2000 ZLATRZ(l)
Unix & Linux Commands & Man Pages : ©2000 - 2018 Unix and Linux Forums

All times are GMT -4. The time now is 07:09 AM.