Y. Hakopian, Avetik H. Manukyan, Hamlet V. Mikaelyan
{"title":"THE MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. I","authors":"Y. Hakopian, Avetik H. Manukyan, Hamlet V. Mikaelyan","doi":"10.46991/pysu:a/2023.57.1.001","DOIUrl":null,"url":null,"abstract":"The present work is devoted to deriving closed form expressions for the elements of the Moore-Penrose inverse of tridiagonal real skew-symmetric matrices. In the first part of the work we obtain results, concerning matrices of even order. A calculation approach for the generalized inverses of odd order matrices is provided.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the YSU A: Physical and Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46991/pysu:a/2023.57.1.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The present work is devoted to deriving closed form expressions for the elements of the Moore-Penrose inverse of tridiagonal real skew-symmetric matrices. In the first part of the work we obtain results, concerning matrices of even order. A calculation approach for the generalized inverses of odd order matrices is provided.