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Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix

Author

Listed:
  • 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)

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.

Suggested Citation

  • Lili Xing & Wendi Bao & Ying Lv & Zhiwei Guo & Weiguo Li, 2024. "Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix," Mathematics, MDPI, vol. 12(3), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:475-:d:1331934
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