Spectral Properties and Optimality for Elementary Matrices
作者机构：Department of Applied MathematicsUniversity of Campinas&INCT-GPCampinas 13083-859Brazil Instituto Kumon de Educação Ltda.São Paulo 04006-002Brazil Department of MathematicsFederal University of ParanáCuritiba 81531-980Brazil
出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)
年 卷 期：2018年第6卷第3期
页 面：467-472页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The work of the first and third authors was partially supported by National Council for Scientific and Technological Development(CNPq) Brazil
主 题：Symmetric and triangular(ST)decomposition Non-symmetric system Elementary matrix Householder transformation
摘 要：A generalization of the Householder transformation,renamed as elementary matrix by ***:Unitary transformation of a nonsymmetric matrix,***,5(4),339–342,1958,was introduced by LaBudde(Math Comput 17(84):433–437,1963)as a tool to obtain a tridiagonal matrix similar to a given square *** of the free parameters of the transformation can be chosen to attain better numerical *** this work,we study the spectral properties of the *** also propose a special choice for free coefficients of that transformation to minimize its condition *** transformation with such suitable choice of parameters is called optimal.
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