AN EXTENDED CONTINUOUS NEWTON METHOD

被引：22

作者：

DIENER, I

SCHABACK, R

机构：

[1] Institute for Numerical and Applied Mathematics, University of Göttingen, Göttingen

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 67卷 / 01期

关键词：

continuous Newton method; critical points; Global optimization; multiple solutions; trajectory method;

D O I：

10.1007/BF00939735

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：

This paper describes a numerical realization of an extended continuous Newton method defined by Diener. It traces a connected set of locally one-dimensional trajectories which contains all critical points of a smooth function f:ℝn→ℝ. The results show that the method is effectively applicable. © 1990 Plenum Publishing Corporation.

引用

页码：57 / 77

页数：21

共 50 条

[31] Nonmonotone Inexact Newton Method for the Extended Linear Complementarity Problem
Yu, Zhensheng
Liu, Yangchen
Gan, Xinyue
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (11) : 1458 - 1472
[32] A smoothing Newton method for extended vertical linear complementarity problems
Qi, HD
Liao, LZ
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 21 (01) : 45 - 66
[33] A perfect memory makes the continuous Newton method look ahead
Kim, M. B.
Neuberger, J. W.
Schleich, W. P.
PHYSICA SCRIPTA, 2017, 92 (08)
[34] The Newton Method for Operators with Hölder Continuous First Derivative
M. A. Hernández
Journal of Optimization Theory and Applications, 2001, 109 : 631 - 648
[35] DISCRETE VERSUS CONTINUOUS NEWTON METHOD - A CASE-STUDY
SAUPE, D
ACTA APPLICANDAE MATHEMATICAE, 1988, 13 (1-2) : 59 - 80
[36] The continuous Newton-Raphson method can look ahead
Hauser, R
Nedic, J
SIAM JOURNAL ON OPTIMIZATION, 2005, 15 (03) : 915 - 925
[37] An inverse function theorem via continuous Newton's method
Castro, A
Neuberger, JW
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3223 - 3229
[38] Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method
Abbasbandy, S
APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (01) : 648 - 656
[39] Extended Newton-type method for nonlinear functions with values in a cone
G. N. Silva
P. S. M. Santos
S. S. Souza
Computational and Applied Mathematics, 2018, 37 : 5082 - 5097
[40] Extended convergence of Gauss-Newton's method and uniqueness of the solution
Argyros, Ioannis K.
Cho, Yeol Je
George, Santhosh
CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (02) : 135 - 142

← 1 2 3 4 5 →