This book introduces theoretical considerations involved in the study of multigrid methods and its practical applicability. It explains symmetric linear iterative methods. The book contains many abstract results concerning multigrid algorithms in the case of nested spaces and inherited forms.
Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
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