TY - JOUR T1 - On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems AU - Bai , Zhong-Zhi AU - Wang , De-Ren AU - Evans , D.J. JO - Journal of Computational Mathematics VL - 6 SP - 575 EP - 588 PY - 1999 DA - 1999/12 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9128.html KW - Solution of linear systems, Asynchronous parallel iteration, Matrix multisplitting, Relaxation method, Convergence. AB -

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.