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Volume 23, Issue 2
On Convergence of Multigrid Method for Nonnegative Definite Systems

Qian-Shun Chang & Weiwei Sun

J. Comp. Math., 23 (2005), pp. 177-184.

Published online: 2005-04

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  • Abstract

In this paper, we consider multigrid methods for solving symmetric nonnegative definite matrix equations. We present some interesting features of the multigrid method and prove that the method is convergent in $ L_2 $ space and the convergent solution is unique for such nonnegative definite system and given initial guess.

  • Keywords

Multigrid, Singular Problem, Convergence.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{JCM-23-177, author = {Qian-Shun Chang and Weiwei Sun}, title = {On Convergence of Multigrid Method for Nonnegative Definite Systems}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {2}, pages = {177--184}, abstract = {

In this paper, we consider multigrid methods for solving symmetric nonnegative definite matrix equations. We present some interesting features of the multigrid method and prove that the method is convergent in $ L_2 $ space and the convergent solution is unique for such nonnegative definite system and given initial guess.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8805.html} }
TY - JOUR T1 - On Convergence of Multigrid Method for Nonnegative Definite Systems AU - Qian-Shun Chang & Weiwei Sun JO - Journal of Computational Mathematics VL - 2 SP - 177 EP - 184 PY - 2005 DA - 2005/04 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8805.html KW - Multigrid, Singular Problem, Convergence. AB -

In this paper, we consider multigrid methods for solving symmetric nonnegative definite matrix equations. We present some interesting features of the multigrid method and prove that the method is convergent in $ L_2 $ space and the convergent solution is unique for such nonnegative definite system and given initial guess.

Qian-Shun Chang and Weiwei Sun. (2005). On Convergence of Multigrid Method for Nonnegative Definite Systems. Journal of Computational Mathematics. 23 (2). 177-184. doi:
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