UM  > 科技學院  > 數學系
Some relationships between optimal preconditioner and superoptimal preconditioner
Chen J.B.3; Xu Z.L.3; Jin X.Q.2; Wei Y.M.1
2010
AbstractFor any given n-by-n matrix A, a specific circulant preconditioner tp (An] proposed by B. Tyrtyshnikov [SIAM J. Matrix Anal. Appl., Vol. 13 (1992), pp. 459-473] is defined to be the solution of over all n-by-n nonsingular circulant matrices C- The tF (A), called the superoptimal circulant preconditioner, has been proved to be a good preconditioner for a large class of structured systems including some ill- conditioned problems from image processing. In this paper, we study this preconditioner from an operator viewpoint. We will give some relationships between the optimal preconditioner (operator) proposed by T. Chan [SIAM J. Sci. Statist. Comput., Vol. 9 (1988), pp. 766-771] and superoptimal preconditioner(operator).
KeywordOptimal preconditioner Superoptimal preconditioner
ISBN9789812836021;9812836012;9789812836014;
DOI10.1142/9789812836021_0015
URLView the original
Pages266-272
Language英語
全文获取链接
引用统计
Document TypeBook
专题DEPARTMENT OF MATHEMATICS
Affiliation1.Fudan University
2.Universidade de Macau
3.Shanghai Maritime University
推荐引用方式
GB/T 7714
Chen J.B.,Xu Z.L.,Jin X.Q.,et al. Some relationships between optimal preconditioner and superoptimal preconditioner[M],2010.
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
Google Scholar
中相似的文章 Google Scholar
[Chen J.B.]的文章
[Xu Z.L.]的文章
[Jin X.Q.]的文章
Baidu academic
中相似的文章 Baidu academic
[Chen J.B.]的文章
[Xu Z.L.]的文章
[Jin X.Q.]的文章
Bing Scholar
中相似的文章 Bing Scholar
[Chen J.B.]的文章
[Xu Z.L.]的文章
[Jin X.Q.]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。