Sylvester equations and projection-based model reduction

被引：103

作者：

Gallivan, K

Vandendorpe, A

Van Dooren, P

机构：

[1] Univ Catholique Louvain, CESAME, B-1348 Louvain, Belgium

[2] Florida State Univ, Tallahassee, FL 32306 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 162卷 / 01期

基金：

美国国家科学基金会;

关键词：

model reduction; time-invariant linear systems; large-scale system; rational interpolation; multipoint Pade;

D O I：

10.1016/j.cam.2003.08.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a connection between Krylov subspace techniques for Multipoint Pade interpolation, and the use of Sylvester equations for constructing reduced-order models. We also briefly point out that this connection partly extends to ADI-type techniques and to the Smith iteration for computing approximate solutions of Lyapunov equations. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：213 / 229

页数：17

共 12 条

[1] On the decay rate of Hankel singular values and related issues [J].