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Shell Programming and Scripting
Korn Shell Array maximum value less than other value
Post 302528979 by ctsgnb on Wednesday 8th of June 2011 10:12:49 AM
06-08-2011
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LEARN ABOUT REDHAT
slarrf
SLARRF(l) ) SLARRF(l) NAME
SLARRF - the initial representation L D L^T and its cluster of close eigenvalues (in a relative measure), W( IFIRST ), W( IFIRST+1 ), .. SYNOPSIS
SUBROUTINE SLARRF( N, D, L, LD, LLD, IFIRST, ILAST, W, DPLUS, LPLUS, WORK, IWORK, INFO ) INTEGER IFIRST, ILAST, INFO, N INTEGER IWORK( * ) REAL D( * ), DPLUS( * ), L( * ), LD( * ), LLD( * ), LPLUS( * ), W( * ), WORK( * ) PURPOSE
Given the initial representation L D L^T and its cluster of close eigenvalues (in a relative measure), W( IFIRST ), W( IFIRST+1 ), ... W( ILAST ), SLARRF finds a new relatively robust representation L D L^T - SIGMA I = L(+) D(+) L(+)^T such that at least one of the eigenvalues of L(+) D(+) L(+)^T is relatively isolated. ARGUMENTS
N (input) INTEGER The order of the matrix. D (input) REAL array, dimension (N) The n diagonal elements of the diagonal matrix D. L (input) REAL array, dimension (N-1) The (n-1) subdiagonal elements of the unit bidiagonal matrix L. LD (input) REAL array, dimension (N-1) The n-1 elements L(i)*D(i). LLD (input) REAL array, dimension (N-1) The n-1 elements L(i)*L(i)*D(i). IFIRST (input) INTEGER The index of the first eigenvalue in the cluster. ILAST (input) INTEGER The index of the last eigenvalue in the cluster. W (input/output) REAL array, dimension (N) On input, the eigenvalues of L D L^T in ascending order. W( IFIRST ) through W( ILAST ) form the cluster of relatively close eige- nalues. On output, W( IFIRST ) thru' W( ILAST ) are estimates of the corresponding eigenvalues of L(+) D(+) L(+)^T. SIGMA (input) REAL The shift used to form L(+) D(+) L(+)^T. DPLUS (output) REAL array, dimension (N) The n diagonal elements of the diagonal matrix D(+). LPLUS (output) REAL array, dimension (N) The first (n-1) elements of LPLUS contain the subdiagonal elements of the unit bidiagonal matrix L(+). LPLUS( N ) is set to SIGMA. WORK (input) REAL array, dimension (???) Workspace. FURTHER DETAILS
Based on contributions by Inderjit Dhillon, IBM Almaden, USA Osni Marques, LBNL/NERSC, USA LAPACK version 3.0 15 June 2000 SLARRF(l)