L. Bian, S. Zhang, S. Wang, K. Wang, “Kaczmarz method for fuzzy linear systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, Number 12,Pages <nobr>23

This article is cited in 2 papers

Kaczmarz method for fuzzy linear systems

L. Bian^a, S. Zhang^b, S. Wang^b, K. Wang^a

^a Shanghai University, Shanghai, 200444, P.R. China
^b Nanyang Vocational College of Agriculture, Nanyang, 473000, P.R. China

Abstract: A Kaczmarz method is presented for solving a class of fuzzy linear systems of equations with crisp coefficient matrix and fuzzy right-hand side. The iterative scheme is established and the convergence theorem is provided. Numerical examples show that the method is effective.

Keywords: fuzzy linear system, Kaczmarz method, iterative scheme.

UDC: 517

Received: 23.02.2021
Revised: 23.02.2021
Accepted: 29.06.2021

DOI: 10.26907/0021-3446-2021-12-23-30