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

被引:91
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
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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