Publisher Summary This chapter discusses the analysis of multigrid methods. It explains
briefly the classical iterative methods for linear systems. This includes the estimate for the …

In the six years that have passed since the publication of the first edition of this book,
iterative methods for linear systems have made good progress in scientific and engineering …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …

Abstract Domain decomposition methods are designed to allow the effective numerical
solution of partial differential equations on parallel computer architectures. They comprise a …

This book deals primarily with the numerical solution of linear systems of equations by
iterative methods. The first part of the book is intended to serve as a textbook for a numerical …

Domain decomposition refers to divide and conquer techniques for solving partial differential
equations by iteratively solving subproblems defined on smaller subdomains. The principal …

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 …

We consider the problem of solving the algebraic system of equations which arise from the
discretization of symmetric elliptic boundary value problems via finite element methods. A …

This paper provides a preconditioned iterative technique for the solution of saddle point
problems. These problems typically arise in the numerical approximation of partial …