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

doi:10.1002/nla.754

	Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix
	Sun, Jian-Qing 1,2; Hu, Xing-Biao1 ; Tam, Hon-Wah 3
	2011-03-01
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	18 期号:2 页码:261-274
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.
关键词	discrete Bogoyavlensky system Lax form asymptotic behavior complex eigenvalues
DOI	10.1002/nla.754
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000287995700008
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12059
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.