Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix
- Resource Type
- article
- Authors
- Lili Xing; Wendi Bao; Ying Lv; Zhiwei Guo; Weiguo Li
- Source
- Mathematics, Vol 12, Iss 3, p 475 (2024)
- Subject
- rectangular matrix
block Kaczmarz method
inner inverse
convergence
Mathematics
QA1-939
- Language
- English
- ISSN
- 2227-7390
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.