{"title":"Algorithms for Recursive Block Matrices","authors":"Stephen M. Watt","doi":"arxiv-2407.03976","DOIUrl":null,"url":null,"abstract":"We study certain linear algebra algorithms for recursive block matrices. This\nrepresentation has useful practical and theoretical properties. We summarize\nsome previous results for block matrix inversion and present some results on\ntriangular decomposition of block matrices. The case of inverting matrices over\na ring that is neither formally real nor formally complex was inspired by\nGonzalez-Vega et al.","PeriodicalId":501033,"journal":{"name":"arXiv - CS - Symbolic Computation","volume":"67 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Symbolic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.03976","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
We study certain linear algebra algorithms for recursive block matrices. This
representation has useful practical and theoretical properties. We summarize
some previous results for block matrix inversion and present some results on
triangular decomposition of block matrices. The case of inverting matrices over
a ring that is neither formally real nor formally complex was inspired by
Gonzalez-Vega et al.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
