On Convergence of Multigrid Method for Nonnegative Definite Systems

On Convergence of Multigrid Method for Nonnegative Definite Systems

Year:    2005

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JCM-8805

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 177–184

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Multigrid Singular Problem Convergence.