ON THE MONOTONE CONVERGENCE OF GENERAL NEWTON-LIKE METHODS

被引：6

作者：

ARGYROS, IK

SZIDAROVSZKY, F

机构：

[1] CAMERON UNIV,DEPT MATH,LAWTON,OK 73505

[2] UNIV ARIZONA,DEPT SYST & IND ENGN,TUCSON,AZ 85721

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1992年 / 45卷 / 03期

关键词：

D O I：

10.1017/S0004972700030392

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines conditions for the monotone convergence of general Newton-like methods generated by point-to-point mappings. The speed of convergence of such mappings is also examined.

引用

页码：489 / 502

页数：14

共 13 条

[1] THE SECANT METHOD AND FIXED-POINTS OF NONLINEAR OPERATORS [J].

ARGYROS, IK .

MONATSHEFTE FUR MATHEMATIK, 1988, 106 (02) :85-94

[2]

Baluev A., 1952, DOKL AKAD NAUK SSSR, V83, P781

[3]

Dennis J. E., 1971, NONLINEAR FUNCTIONAL, P425

[4]

FUJIMOTO T, 1987, ECON LETT, V22, P247

[5]

Kantorovich L. V, 1964, FUNCTIONAL ANAL

[6]

KRASNOLESKII MA, 1964, POSITIVE SOLUTIONS O

[7]

LASALLE JP, 1968, STABILITY CONTROL DI

[8]

OKUGUCHI K, 1977, MATH F EC ANAL

[9]

OKUGUCHI K, 1990, THEORY ALIGOPOLY MUL

[10] MONOTONE ITERATIVE METHODS FOR NONLINEAR OPERATOR-EQUATIONS [J].

POTRA, FA .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1987, 9 (7-8) :809-843

← 1 2 →