{"title":"Iterative Methods for Least Squares Problem in Split Quaternionic Mechanics","authors":"Minghui Wang, Lingling Yue","doi":"10.22606/NHMP.2019.32003","DOIUrl":null,"url":null,"abstract":"Split Quaternionic least squares (SQLS) problem is one method of solving overdetermined sets of quaternion linear equations AX = E that is appropriate when there is error in the matrix E. In this paper, by means of real representation of split quaternion matrices, we derive an iterative method for finding the minimum-norm solution of the SQLS problems in split quaternionic mechanics.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Horizons in Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22606/NHMP.2019.32003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Split Quaternionic least squares (SQLS) problem is one method of solving overdetermined sets of quaternion linear equations AX = E that is appropriate when there is error in the matrix E. In this paper, by means of real representation of split quaternion matrices, we derive an iterative method for finding the minimum-norm solution of the SQLS problems in split quaternionic mechanics.
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