Pole placement preconditioning

被引：4

作者：

Calvetti, D ^{[1
]}

Reichel, L

机构：

[1] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 366卷

关键词：

iterative method; preconditioner; nonsymmetric linear system; Arnoldi process; implicitly restarted Arnoldi method; partial eigenvalue assignment problem;

D O I：

10.1016/S0024-3795(02)00472-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The partial pole placement problem has received considerable attention in Control Theory, where it is applied to stabilize time-invariant linear control systems. This paper discusses application of the partial pole placement problem to the construction of preconditioners for linear systems of equations. Numerical examples show that these preconditioners can improve the rate of convergence of the restarted GMRES methods significantly. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：99 / 120

页数：22

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