The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory

作     者：Kong, Qingkai Zettl, Anton 

作者机构：No Illinois Univ Dept Math De Kalb IL 60115 USA 

出 版 物：《LINEAR ALGEBRA AND ITS APPLICATIONS》 (线性代数及其应用)

年 卷 期：2011年第434卷第7期

页      面：1648-1655页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Matrix eigenvalue problems Jacobi and cyclic Jacobi matrices Sturm-Liouville theory 

摘      要：We study the eigenvalues of matrix problems involving Jacobi and cyclic Jacobi matrices as functions of certain entries. Of particular interest are the limits of the eigenvalues as these entries approach infinity. Our approach is to use the recently discovered equivalence between these problems and a class of Sturm-Liouville problems and then to apply the Sturm-Liouville theory. (C) 2010 Elsevier Inc. All rights reserved.