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.