{"title":"A Moment-Based Method for Large-Scale Generalized Eigenvalue Problems","authors":"Tetsuya Sakurai, Hiroto Tadano, Yuichi Inadomi, Umpei Nagashima","doi":"10.1002/anac.200410014","DOIUrl":null,"url":null,"abstract":"<p>In this paper we consider a method for finding several eigenvalues and corresponding eigenvectors of large-scale generalized eigenvalue problems. In this method, a small matrix pencil that has only the desired eigenvalues is derived using complex moments obtained via numerical integration. Since the process to derive the moments can be performed in parallel and we do not need to exchange data between processes, the presented method is suitable for master-worker programming models. We have implemented and tested the proposed method in a grid RPC (remote procedure call) system. Numerical examples illustrate the properties of our approach. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"1 2","pages":"516-523"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200410014","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper we consider a method for finding several eigenvalues and corresponding eigenvectors of large-scale generalized eigenvalue problems. In this method, a small matrix pencil that has only the desired eigenvalues is derived using complex moments obtained via numerical integration. Since the process to derive the moments can be performed in parallel and we do not need to exchange data between processes, the presented method is suitable for master-worker programming models. We have implemented and tested the proposed method in a grid RPC (remote procedure call) system. Numerical examples illustrate the properties of our approach. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
基于矩的大规模广义特征值问题求解方法
本文研究了一种求大规模广义特征值问题的若干特征值和相应特征向量的方法。在该方法中，利用数值积分得到的复矩，得到一个只有期望特征值的小矩阵铅笔。由于导出矩的过程可以并行执行，并且我们不需要在进程之间交换数据，因此所提出的方法适用于主工编程模型。我们已经在一个网格远程过程调用(RPC)系统中实现并测试了该方法。数值例子说明了我们方法的性质。(©2004 WILEY-VCH Verlag GmbH &KGaA公司，Weinheim)
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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