Open AccessOn the strong <i>P</i>-regular splitting iterative methods for non-Hermitian linear systems
Author(s) -
Junxiang Lu,
Chengyi Zhang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021689
Subject(s) - iterative method , mathematics , convergence (economics) , hermitian matrix , linear system , algorithm , mathematical analysis , pure mathematics , economics , economic growth
The strong P -regular splitting is put forward and defined for iterative methods of non-Hermitian linear systems in the paper. The strong P -regular splitting combining SOR iterative methods and relaxed SOR iterative methods are established, and conditions guaranteeing the convergence are presented. Furthermore, two numerical experiments are done to illustrate the convergence and effectiveness of our iterative methods.