Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix

Author:

Xing Lili1ORCID,Bao Wendi1,Lv Ying1,Guo Zhiwei1,Li Weiguo1ORCID

Affiliation:

1. College of Science, China University of Petroleum, Qingdao 266580, China

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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