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Volume 16, Issue 6
On the Convergence of the Relaxation Methods for Positive Definite Linear Systems

Zhongzhi Bai & Tinzhu Huang

J. Comp. Math., 16 (1998), pp. 527-538.

Published online: 1998-12

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  • Abstract

We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix, and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix.

  • Keywords

System of linear equations, Relaxation method, Convergence theory Positive definite matrix.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-527, author = {Bai , Zhongzhi and Huang , Tinzhu}, title = {On the Convergence of the Relaxation Methods for Positive Definite Linear Systems}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {6}, pages = {527--538}, abstract = {

We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix, and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9180.html} }
TY - JOUR T1 - On the Convergence of the Relaxation Methods for Positive Definite Linear Systems AU - Bai , Zhongzhi AU - Huang , Tinzhu JO - Journal of Computational Mathematics VL - 6 SP - 527 EP - 538 PY - 1998 DA - 1998/12 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9180.html KW - System of linear equations, Relaxation method, Convergence theory Positive definite matrix. AB -

We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix, and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix.

Bai , Zhongzhi and Huang , Tinzhu. (1998). On the Convergence of the Relaxation Methods for Positive Definite Linear Systems. Journal of Computational Mathematics. 16 (6). 527-538. doi:
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