ON LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEARIZATIONS

被引：20

作者：

MARZ, R

机构：

[1] Humboldt-University at Berlin, Institute of Mathematics, 10099 Berlin

来源：

APPLIED NUMERICAL MATHEMATICS | 1995年 / 18卷 / 1-3期

关键词：

DIFFERENTIAL ALGEBRAIC EQUATIONS; LINEARIZATION; NEWTON-KANTOROVICH METHOD;

D O I：

10.1016/0168-9274(95)00058-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the background of a careful analysis of nonlinear DAFs, linearizations of nonlinear index-2 systems are considered. Finding appropriate function spaces and their topologies allows to apply the standard Implicit Function Theorem again. Both, solvability statements as well as the local convergence of the Newton-Kantorovich method (quasilinearization) result immediately. In particular, this applies also to fully implicit index-1 systems whose leading nullspace is allowed to vary with all its arguments.

引用

页码：267 / 292

页数：26

共 18 条

[1] CLASSIFICATION AND SURVEY OF NUMERICAL-METHODS FOR BOUNDARY-VALUE PROBLEMS IN ORDINARY DIFFERENTIAL-EQUATIONS [J].