THE NEWTON-KANTOROVICH METHOD UNDER MILD DIFFERENTIABILITY CONDITIONS AND THE PTAK ERROR-ESTIMATES

被引：15
作者：
ARGYROS, IK
机构：
[1] Department of Mathematical Sciences, New Mexico State University, Las Cruces, 88003, NM
来源：
MONATSHEFTE FUR MATHEMATIK | 1990年 / 109卷 / 03期
关键词：
D O I：
10.1007/BF01297759
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Newton-Kantorovich method under mild differentiability conditions. Using Zabrejko-Nguen assumptions we extend the results obtained by Zabrejko and Nguen in [11]. We also derive Ptâk error estimates which compare favorably with the ones obtained previously by Keller [4], Rokne [7], and Argyros in [1]. © 1990 Springer-Verlag.
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页码：175 / 193
页数：19
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