{"title":"A hybrid hypercube algorithm for the symmetric tridiagonal eigenvalue problem","authors":"J. A. Jackson, L. Liebrock, L. Ziegler","doi":"10.1145/63047.63113","DOIUrl":null,"url":null,"abstract":"Two versions of an algorithm for finding the eigenvalues of symmetric, tridiagonal matrices are described. They are based on the use of the Sturm sequences and the bisection algorithm. The algorithms were implemented on the FPS T-Series. Some speedup factor results are presented.","PeriodicalId":299435,"journal":{"name":"Conference on Hypercube Concurrent Computers and Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference on Hypercube Concurrent Computers and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/63047.63113","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Two versions of an algorithm for finding the eigenvalues of symmetric, tridiagonal matrices are described. They are based on the use of the Sturm sequences and the bisection algorithm. The algorithms were implemented on the FPS T-Series. Some speedup factor results are presented.