{"title":"A rank-two divide and conquer method for the symmetric tridiagonal eigenproblem","authors":"K. Gates","doi":"10.1109/FMPC.1992.234887","DOIUrl":null,"url":null,"abstract":"A rank-two divide and conquer algorithm is developed for calculating the eigensystem of a symmetric tridiagonal matrix. This algorithm is compared to the LAPACK recommended path for this problem and the rank-one divide and conquer algorithm. The timing results on a Sequent Symmetry S81b show that this algorithm has potential as a parallel alternative to the QR algorithm.<<ETX>>","PeriodicalId":117789,"journal":{"name":"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMPC.1992.234887","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A rank-two divide and conquer algorithm is developed for calculating the eigensystem of a symmetric tridiagonal matrix. This algorithm is compared to the LAPACK recommended path for this problem and the rank-one divide and conquer algorithm. The timing results on a Sequent Symmetry S81b show that this algorithm has potential as a parallel alternative to the QR algorithm.<>