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Volume 17, Issue 6
On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems

Zhong-Zhi Bai, De-Ren Wang & D.J. Evans

J. Comp. Math., 17 (1999), pp. 575-588.

Published online: 1999-12

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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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COPYRIGHT: © Global Science Press

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@Article{JCM-17-575, author = {Bai , Zhong-ZhiWang , De-Ren and Evans , D.J.}, title = {On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {6}, pages = {575--588}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9128.html} }
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.

Bai , Zhong-ZhiWang , De-Ren and Evans , D.J.. (1999). On the Convergence of Asynchronous Nested Matrix Multisplitting Methods for Linear Systems. Journal of Computational Mathematics. 17 (6). 575-588. doi:
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