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Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix

文献类型：期刊论文

作者Sun, Jian-Qing1,2; Hu, Xing-Biao1; Tam, Hon-Wah3
刊名NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
出版日期2011-03-01
卷号18期号:2页码:261-274
关键词discrete Bogoyavlensky system Lax form asymptotic behavior complex eigenvalues
ISSN号1070-5325
DOI10.1002/nla.754
英文摘要This paper is motivated by some recent work of Fukuda, lshiwata, Iwasaki, and Nakamura (Inverse Problems 2009; 25:015007). We first design an algorithm for computing the eigenvalues of a specially structured matrix from the discrete Bogoyavlensky Lattice 2 (dBL2) system. A Lax representation for the dBL2 system is given in a matrix form. By considering the asymptotic behavior of dBL2 variables, some characteristic polynomials are then factorized. A new algorithm for computing the complex eigenvalues of a specially structured matrix is then introduced. Copyright (C) 2010 John Wiley & Sons, Ltd.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000287995700008
出版者WILEY-BLACKWELL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12058]  
专题计算数学与科学工程计算研究所
通讯作者Hu, Xing-Biao
作者单位1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China
3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714		 Sun, Jian-Qing,Hu, Xing-Biao,Tam, Hon-Wah. Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2011,18(2):261-274.
APA Sun, Jian-Qing,Hu, Xing-Biao,&Tam, Hon-Wah.(2011).Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,18(2),261-274.
MLA Sun, Jian-Qing,et al."Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 18.2(2011):261-274.

入库方式： OAI收割

来源：数学与系统科学研究院

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