Generalisation of the Perron-Frobenius theory to matrix pencils

被引：7

作者：

Mehrmann, Volker ^{[1
]}

Nabben, Reinhard ^{[1
]}

Virnik, Elena ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 01期

关键词：

Perron-Frobenius theorem; matrix pencils; differential-algebraic equation; descriptor system; projector chain; tractability index; differentiation index;

D O I：

10.1016/j.laa.2007.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new extension of the well-known Perron-Frobenius theorem to regular matrix pairs (E, A). The new extension is based on projector chains and is motivated from the solution of positive differential-algebraic systems or descriptor systems. We present several examples where the new condition holds, whereas conditions in previous literature are not satisfied. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：20 / 38

页数：19

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