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BIT Numerical Mathematics

, Volume 25, Issue 1, pp 165–187 | Cite as

A survey of preconditioned iterative methods for linear systems of algebraic equations

  • O. Axelsson
Part II Numerical Mathematics Invited Paper

Abstract

We survey preconditioned iterative methods with the emphasis on solving large sparse systems such as arise by discretization of boundary value problems for partial differential equations.

We discuss shortly various acceleration methods but the main emphasis is on efficient preconditioning techniques. Numerical simulations on practical problems have indicated that an efficient preconditioner is the most important part of an iterative algorithm. We report in particular on the state of the art of preconditioning methods for vectorizable and/or parallel computers.

Keywords

Differential Equation Linear System Partial Differential Equation Computational Mathematic Iterative Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© BIT Foundations 1985

Authors and Affiliations

  • O. Axelsson
    • 1
  1. 1.Mathematical InstituteUniversity of Nijmegen, ToernooiveldNijmegenThe Netherlands

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