{"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}
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 .
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