Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix

Lili Xing, Wendi Bao (), Ying Lv, Zhiwei Guo and Weiguo Li
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Lili Xing: College of Science, China University of Petroleum, Qingdao 266580, China
Wendi Bao: College of Science, China University of Petroleum, Qingdao 266580, China
Ying Lv: College of Science, China University of Petroleum, Qingdao 266580, China
Zhiwei Guo: College of Science, China University of Petroleum, Qingdao 266580, China
Weiguo Li: College of Science, China University of Petroleum, Qingdao 266580, China

Mathematics, 2024, vol. 12, issue 3, 1-15

Abstract: In this paper, two randomized block Kaczmarz methods to compute inner inverses of any rectangular matrix A are presented. These are iterative methods without matrix multiplications and their convergence is proved. The numerical results show that the proposed methods are more efficient than iterative methods involving matrix multiplications for the high-dimensional matrix.

Keywords: rectangular matrix; block Kaczmarz method; inner inverse; convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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