利用有限子矩阵逼近无界雅可比矩阵的特征值

Central European Journal of Mathematics Pub Date : 2014-03-01 DOI:10.2478/s11533-013-0348-z

A. B. D. Monvel, Lech Zielinski

{"title":"利用有限子矩阵逼近无界雅可比矩阵的特征值","authors":"A. B. D. Monvel, Lech Zielinski","doi":"10.2478/s11533-013-0348-z","DOIUrl":null,"url":null,"abstract":"We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"94 1","pages":"445-463"},"PeriodicalIF":0.0000,"publicationDate":"2014-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices\",\"authors\":\"A. B. D. Monvel, Lech Zielinski\",\"doi\":\"10.2478/s11533-013-0348-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"94 1\",\"pages\":\"445-463\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0348-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0348-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

我们考虑一个无限的雅可比矩阵，它的非对角线元素被趋于无穷的对角线元素所支配。相应的自伴随算子J具有离散谱，我们的目的是给出J的特征值由其有限子矩阵的特征值逼近的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices

We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Central European Journal of Mathematics 数学-数学

自引率

0.00%

发文量

审稿时长

3-8 weeks