%0 Journal Article
%T Backard Error Analysis of the Matrix Equations for Sylvester and Lyapunov<br>Sylvester与Lyapunov方程向后误差分析
%A YANG Xingdong
%A HUANG Weihong
%A <br>杨兴东
%A 黄卫红
%J 系统科学与数学
%D 2008
%I 
%X The normwise backward errors of the approximate solutions to the Sylvester equation $AX+YB=C$ and Lyapunov equation $A^{\rm T} X+XA=-Q,(Q >0)$ are evaluated, and upper and lower bounds are also obtained. These results improve the existing results.
%K Sylvester equation
%K Lyapunov equation
%K backward perturbation
%K Kronecker product<br>Sylvester方程
%K Lyapunov方程
%K 向后扰动
%K Kronecker积
%K Lyapunov
%K 矩阵方程
%K 向后误差分析
%K EQUATIONS
%K MATRIX
%K 补充
%K 改进
%K 文献
%K 结果
%K 上下界
%K 计算
%K 精确表达式
%K 研究
%K 性质
%K 利用
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=5AF1F30EC64AFB25B0085AE775F7C783&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=500A64A3035F6B9C&eid=D45762219109E903&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=14