%0 Journal Article
%T COMPARING SBE WITH P-SBE FOR CERTAIN STRUCTURED LINEAR SYSTEMS<br>一些结构线性系统的SBE与P-SBE的比较
%A Liu Xinguo
%A Liu Dan
%A <br>刘新国
%A 刘丹
%J 计算数学
%D 2008
%I 
%X Many important structured matrices belong to the Jordan algebra J or the Lie algebra L, defined by scalar product in R~n or C~n.In this paper,the comparison of normwise structured backward errors (SBE) with partial structured backward errors (P-SBE) with respect to the approximate solution of linear system AX=B are considered.Here the coefficient matrix A satisfies A∈J or A∈L.After giving some preliminary results,we first compare SBE with P-SBE in case of single right-hand side,then multiple right-hand sides.Some results proved by Sun are generalized.
%K structured linear systems
%K structured backward errors
%K partial structured backward errors<br>结构线性系统
%K 结构向后误差
%K 偏结构向后误差
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=31DC0ECD9A780FD4879AB6F33C0AB66B&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=4966445AEEBA9556&eid=D9AE183D3F5C3C75&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=10