A partially block randomized extended Kaczmarz method for solving large overdetermined inconsistent linear systems

Autor: Feng Yin, Bu-Yue Zhang, Guang-Xin Huang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 8, Pp 18512-18527 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023941?viewType=HTML
Popis: This paper presents a partial block randomized extended Kaczmarz (PBREK) method for solving large overdetermined inconsistent linear system of equations $ Ax = b $. The convergence theorem of the PBREK method is derived. Several examples are given to illustrate the effectiveness of the proposed PBREK method compared with the prevuious PREK method and the randomized extended Kaczmarz (REK) method.
Databáze: Directory of Open Access Journals