实矩阵和整数矩阵的WZ分解

IF 0.4 Q4 MATHEMATICS
E. Golpar-Raboky, E. Babolian
{"title":"实矩阵和整数矩阵的WZ分解","authors":"E. Golpar-Raboky, E. Babolian","doi":"10.52547/ijmsi.17.1.71","DOIUrl":null,"url":null,"abstract":". The QIF (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using WZ factorization. The WZ factorization can be faster than the LU factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer WZ and ZW factorizations by using the null space generators of some special nested submatrices of a matrix A .","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the WZ Factorization of the Real and Integer Matrices\",\"authors\":\"E. Golpar-Raboky, E. Babolian\",\"doi\":\"10.52547/ijmsi.17.1.71\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The QIF (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using WZ factorization. The WZ factorization can be faster than the LU factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer WZ and ZW factorizations by using the null space generators of some special nested submatrices of a matrix A .\",\"PeriodicalId\":43670,\"journal\":{\"name\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52547/ijmsi.17.1.71\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Mathematical Sciences and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52547/ijmsi.17.1.71","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1

摘要

. Evans和Hatzopoulos的QIF(象限联锁分解)方法利用WZ分解求解线性方程组。WZ分解可能比LU分解快,因为它同时执行两列或两行的求值。本文给出了一种利用矩阵a的一些特殊的嵌套子矩阵的零空间生成器计算实数和整数WZ和ZW分解的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the WZ Factorization of the Real and Integer Matrices
. The QIF (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using WZ factorization. The WZ factorization can be faster than the LU factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer WZ and ZW factorizations by using the null space generators of some special nested submatrices of a matrix A .
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
0.90
自引率
0.00%
发文量
20
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信