Model reduction of state space systems via an implicitly restarted Lanczos method

被引：90
作者：
Grimme, EJ
Sorensen, DC
VanDooren, P
机构：
[1] UNIV ILLINOIS, COORDINATED SCI LAB, URBANA, IL 61801 USA
[2] RICE UNIV, DEPT COMPUTAT & APPL MATH, HOUSTON, TX 77251 USA
来源：
NUMERICAL ALGORITHMS | 1996年 / 12卷 / 1-2期
关键词：
state space systems; model reduction; nonsymmetric Lanczos method; eigenvalues; implicit restarting;
D O I：
10.1007/BF02141739
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonsymmetric Lanczos method has recently received significant attention as a model reduction technique for large-scale systems. Unfortunately, the Lanczos method may produce an unstable partial realization for a given, stable system. To remedy this situation, unexpensive implicit restarts are developed which can be employed to stabilize the Lanczos generated model.
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页码：1 / 31
页数：31
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