A UNIFYING THEOREM ON NEWTON METHOD

被引：7

作者：

MEYER, PW ^{[1
]}

机构：

[1] UNIV GESAMTHSCH DUISBURG,FACHBEREICH MATH,W-4100 DUISBURG 1,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1992年 / 13卷 / 5-6期

关键词：

D O I：

10.1080/01630569208816492

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a general theorem is proved about convergence and error estimates for Newton's method. It contains as special cases a theorem of Kantorowitsch-type, a theorem with nonlinear majorants and componentwise error estimates as well as a theorem of monotone type.(~)Mathematics Subject Classification: 65J15

引用

页码：463 / 473

页数：11

共 8 条

[1]

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[2]

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[3]

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MEYER, PW .

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

MEYER, PW .

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[6]

Ortega J.M., 1970, OCLC1154227410, Patent No. 1154227410

[7]

Vandergraft JS., 1967, SIAM J NUM ANAL, V4, P406, DOI DOI 10.1137/0704037

[8] A UNIFIED DERIVATION OF SEVERAL ERROR-BOUNDS FOR NEWTONS PROCESS [J].

YAMAMOTO, T .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1985, 12-3 (MAY) :179-191

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