{"title":"A divide-and-conquer approach for the computation of the Moore-Penrose inverses","authors":"Xuzhou Chen , Jun Ji","doi":"10.1016/j.amc.2020.125265","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we present a divide-and-conquer method for computing the Moore-Penrose inverse of a bidiagonal matrix. Working together with the effective parallel algorithms for the reduction of a general matrix to the bidiagonal matrix, the proposed method provides a new parallel approach for the computation of the Moore-Penrose inverse of a general matrix. This new approach was implemented in the CUDA environment and a significant speedup was observed on randomly generated matrices.</p></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"379 ","pages":"Article 125265"},"PeriodicalIF":3.4000,"publicationDate":"2020-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.amc.2020.125265","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300320302344","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we present a divide-and-conquer method for computing the Moore-Penrose inverse of a bidiagonal matrix. Working together with the effective parallel algorithms for the reduction of a general matrix to the bidiagonal matrix, the proposed method provides a new parallel approach for the computation of the Moore-Penrose inverse of a general matrix. This new approach was implemented in the CUDA environment and a significant speedup was observed on randomly generated matrices.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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