Continuation of invariant subspaces via the Recursive Projection Method

被引：2

作者：

V. Janovský

O. Liberda

机构：

[1] Faculty of Mathematics and Physics, Charles University, 186 00, Prague 8

来源：

Applications of Mathematics | 2003年 / 48卷 / 4期

关键词：

pathfollowing; stability exchange; steady states; unstable invariant subspace;

D O I：

10.1023/A:1026058514236

中图分类号：

学科分类号：

摘要：

The Recursive Projection Method is a technique for continuation of both the steady states and the dominant invariant subspaces. In this paper a modified version of the RPM called projected RPM is proposed. The modification underlines the stabilization effect. In order to improve the poor update of the unstable invariant subspace we have applied subspace iterations preconditioned by Cayley transform. A statement concerning the local convergence of the resulting method is proved. Results of numerical tests are presented. © 2003 Mathematical Institute, Academy of Sciences of Czech Republic.

引用

页码：241 / 255

页数：14

共 11 条

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