CSpace  > 计算数学与科学工程计算研究所
 The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems Yin, Junfeng; Bai, Zhongzhi 2008-03-01 Source Publication JOURNAL OF COMPUTATIONAL MATHEMATICS ISSN 0254-9409 Volume 26Issue:2Pages:240-249 Abstract The restrictively preconditioned conjugate gradient (RPCG) method is further developed to solve large sparse system of linear equations of a block two-by-two structure. The basic idea of this new approach is that we apply the RPCG method to the normal-residual equation of the block two-by-two linear system and construct each required approximate matrix by making use of the incomplete orthogonal factorization of the involved matrix blocks. Numerical experiments show that the new method, called the restrictively preconditioned conjugate gradient on normal residual (RPCGNR), is more robust and effective than either the known RPCG method or the standard conjugate gradient on normal residual (CGNR) method when being used for solving the large sparse saddle point problems. Keyword block two-by-two linear system saddle point problem restrictively preconditioned conjugate gradient method normal-residual equation incomplete orthogonal factorization Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied ; Mathematics WOS ID WOS:000254352200006 Publisher VSP BV Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/5883 Collection 计算数学与科学工程计算研究所 Corresponding Author Yin, Junfeng Affiliation Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China Recommended CitationGB/T 7714 Yin, Junfeng,Bai, Zhongzhi. The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(2):240-249. APA Yin, Junfeng,&Bai, Zhongzhi.(2008).The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(2),240-249. MLA Yin, Junfeng,et al."The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.2(2008):240-249.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Yin, Junfeng]'s Articles [Bai, Zhongzhi]'s Articles Baidu academic Similar articles in Baidu academic [Yin, Junfeng]'s Articles [Bai, Zhongzhi]'s Articles Bing Scholar Similar articles in Bing Scholar [Yin, Junfeng]'s Articles [Bai, Zhongzhi]'s Articles Terms of Use No data! Social Bookmark/Share