On diagonal-Schur complements of block diagonally dominant matrices
文献类型:期刊论文
作者 | Li YT[*]1; Ouyang SP1; Cao SJ1; Wang RW[*]2 |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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出版日期 | 2010 |
卷号 | 216期号:5页码:1383-1392 |
关键词 | Diagonal-Schur complement Schur complement Block strictly diagonally dominant matrix Generalized block strictly diagonally dominant matrix H-matrix |
ISSN号 | 0096-3003 |
通讯作者 | liyaotang@ynu.edu.cn ; wangrw@mail.kiz.ac.cn |
合作状况 | 其它 |
英文摘要 | It is known that the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant matrices [J.Z. Liu, Y.Q. Huang, Some properties on Schur complements of H-matrices and diagonally dominant matrices, Linear Algebra Appl. 389 (2004) 365-380], and the same is true for nonsingular H-matrices [J.Z. Liu, J.C. Li, Z.T. Huang, X. Kong, Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices, Linear Algebra Appl. 428 (2008) 1009-1030]. In this paper, we research the properties on diagonal-Schur complements of block diagonally dominant matrices and prove that the diagonal-Schur complements of block strictly diagonally dominant matrices are block strictly diagonally dominant matrices, and the same holds for generalized block strictly diagonally dominant matrices. |
收录类别 | SCI |
资助信息 | This work was supported by National Natural Science Foundations of China (30770500 and 10961027) and State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoology, Chinese Academy of Sciences (GREKF09-02). |
原文出处 | 20102161383.pdf |
公开日期 | 2010-08-24 |
源URL | [http://159.226.149.42:8088/handle/152453/2773] ![]() |
专题 | 昆明动物研究所_实验与理论生态学 昆明动物研究所_遗传资源与进化国家重点实验室 |
作者单位 | 1.School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China 2.State Key Laboratory of Genetic Resources and Evolution, Ecology, Conservation, and Environment Center, Kunming Institute of Zoology, Chinese Academy of Science, Kunming, Yunnan 650223, PR China |
推荐引用方式 GB/T 7714 | Li YT[*],Ouyang SP,Cao SJ,et al. On diagonal-Schur complements of block diagonally dominant matrices[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,216(5):1383-1392. |
APA | Li YT[*],Ouyang SP,Cao SJ,&Wang RW[*].(2010).On diagonal-Schur complements of block diagonally dominant matrices.APPLIED MATHEMATICS AND COMPUTATION,216(5),1383-1392. |
MLA | Li YT[*],et al."On diagonal-Schur complements of block diagonally dominant matrices".APPLIED MATHEMATICS AND COMPUTATION 216.5(2010):1383-1392. |
入库方式: OAI收割
来源:昆明动物研究所
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