NEWTON METHOD IN GENERALIZED BANACH-SPACES

被引：16

作者：

MEYER, PW ^{[1
]}

机构：

[1] UNIV DUISBURG GESAMTHSCH,FACHBEREICH MATH 11,D-4100 DUISBURG 1,FED REP GER

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1987年 / 9卷 / 3-4期

关键词：

D O I：

10.1080/01630568708816234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Kantorowitsch-analysis of Newton's method in generalized Banach spaces is given. The application of generalized norms - mappings from a linear space into a partially ordered Banach space - improves convergence results and error estimates compared with the real norm theory.

引用

页码：249 / 259

页数：11

共 9 条

[1]

BOHL E, 1974, MONOTONIE LOSBARKEIT

[2]

COLLATZ L, 1964, FUNKTIONALANALYSIS N

[3]

DORING B, 1976, APL MAT, V24, P1

[4]

Kantorowitsch L. W., 1978, FUNKTIONALANALYSIS N

[5] THE MODIFIED NEWTON METHOD IN GENERALIZED BANACH-SPACES [J].

MEYER, PW .

NUMERISCHE MATHEMATIK, 1984, 43 (01) :91-104

[6]

MEYER PW, 1980, THESIS DUSSELDORF

[7] A CONVERGENCE TEST AND COMPONENTWISE ERROR-ESTIMATES FOR NEWTON TYPE METHODS [J].

PANDIAN, MC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (04) :779-791

[8]

SCHRODER J, 1957, ARCH RATIONAL MECH A, V1, P154

[9]

Yamamoto T., 1979, Journal of Information Processing, V2, P121

← 1 →