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| -- 作者：sciadmin -- 发布时间：2008/2/9 9:59:03 -- 国际著名期刊NLAA初一接收李寒宇博士论文 数值代数是计算数学最传统的重要研究方向，国内从事该方向的研究人员不多，重庆大学获得计算数学博士点后，致力于传统计算数学方向的培育和开拓，捷报频传。 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. 2008; 00:1–00 Prepared
using nlaauth.cls [Version:
2002/09/18 v1.02] Perturbation bounds for weighted polar decomposition in
the weighted unitarily invariant norm Hu Yang1 and Hanyu Li College of Mathematics and Physics, Chongqing
University, Chongqing 400030, People’s Republic of China. SUMMARY In this paper, by generalizing the ideas of the
(generalized) polar decomposition to the weighted polar decomposition and the unitarily invariant norm to the
weighted unitarily invariant norm, we present some perturbation bounds for the generalized positive polar
factor, generalized nonnegative polar factor, and weighted unitary polar factor of the weighted polar decomposition
in the weighted unitarily invariant norm. These bounds extend the corresponding recent results for the
(generalized) polar decomposition. In addition, we also give the comparison between the two perturbation bounds for the
generalized positive polar factor obtained from two different methods. Copyright c 2008 John Wiley &
Sons, Ltd. KEY WORDS: weighted polar decomposition; generalized
positive polar factor; generalized nonnegative polar factor; weighted unitary polar factor; weighted unitarily
invariant norm Correspondence
to: Hanyu Li, College of Mathematics and Physics, Chongqing University,
Chongqing 400030, P.R. China. Email: lihy.hy@gmail.com Contract/grant sponsor: Publishing Arts Research Council;
contract/grant number: 98–1846389 Received Copyright c 2008
John Wiley & Sons, Ltd. Revised |