CANONICAL-FORMS FOR LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH VARIABLE-COEFFICIENTS

被引：54

作者：

KUNKEL, P

MEHRMANN, V

机构：

[1] CARL VONOSSIETZKY UNIV,FACHBEREICH MATH,D-26111 OLDENBURG,GERMANY

[2] TECH UNIV CHEMNITZ ZWICKAU,FACHBEREICH MATH,D-09009 CHEMNITZ,GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 56卷 / 03期

关键词：

LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS; CHARACTERISTIC VALUES; INVARIANTS; INDEX; CANONICAL FORMS; GENERALIZED KRONECKER CANONICAL FORM; EXISTENCE AND UNIQUENESS;

D O I：

10.1016/0377-0427(94)90080-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a new set of local characterizing quantities for the treatment of linear differential-algebraic equations with variable coefficiens. This leads to new global invariances under which we can find a generalization of the global (or differentiation) index and get a new existence and uniqueness theorem.

引用

页码：225 / 251

页数：27

共 18 条

[1]

Brenan K. E., 1989, NUMERICAL SOLUTION I

[2] NUMERICAL COMPUTATION OF AN ANALYTIC SINGULAR VALUE DECOMPOSITION OF A MATRIX VALUED FUNCTION [J].