On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems

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Abstract

A class of asynchronous nested matrix multisplitting methods for solving large-scale systems of linear equations are proposed, and their convergence characterizations are studied in detail when the coefficient matrices of the linear systems are monotone matrices and $H$-matrices, respectively.

Keywords:

Solution of linear systems Asynchronous parallel iteration Matrix multisplitting Relaxation method Convergence.
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On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems. (2021). Journal of Computational Mathematics, 17(6), 575-588. https://www.global-sci.com/index.php/JCM/article/view/11343