{"title":"对称三对角特征值问题的混合超立方体算法","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":"{\"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}","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}
A hybrid hypercube algorithm for the symmetric tridiagonal eigenvalue problem
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.
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