THE NONSYMMETRIC LANCZOS-ALGORITHM AND CONTROLLABILITY

被引：20

作者：

BOLEY, D

GOLUB, G

机构：

[1] UNIV MINNESOTA,DEPT COMP SCI,MINNEAPOLIS,MN 55455

[2] STANFORD UNIV,DEPT COMP SCI,STANFORD,CA 94305

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 16卷 / 02期

基金：

美国国家科学基金会;

关键词：

CONTROLLABILITY; OBSERVABILITY; NONSYMMETRIC LANCZOS ALGORITHM; LINEAR SYSTEMS;

D O I：

10.1016/0167-6911(91)90003-W

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We give a brief description of a non-symmetric Lanczos algorithm that does not require strict bi-orthogonality among the generated vectors. We show how the vectors generated are algebraically related to Reachable Space and Observable Space for a related linear dynamical system. The algorithm described is particularly appropriate for large sparse systems.

引用

页码：97 / 105

页数：9

共 21 条

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