The Newton Method for C1,α-maps in banach spaces

被引：0

作者：

Riedrich, T ^{[1
]}

机构：

[1] Tech Univ Dresden, Fachrichtung Math, Inst Anal, D-01062 Dresden, Germany

来源：

OPTIMIZATION | 2001年 / 49卷 / 1-2期

关键词：

Newton Method; nonlinear eigenvalue problems; nonlinear Dirichlet problems;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

On the basis of a work by B. Doring for R-1 --> R-1-maps we give a thourough proof of the convergence and on the convergence speed of the Newton Method for C-1,C-alpha-maps in Banach spaces. We describe the application of this classical method for the existence land local uniqueness and approximation) of nonlinear eigenvalue problems - abstractly - and for the concrete case of nonlinear Dirichlet problem which was formerly attacked by variational methods.

引用

页码：191 / 203

页数：13

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