THE MAJORANT METHOD IN THE THEORY OF NEWTON-KANTOROVICH APPROXIMATIONS AND THE PTAK ERROR-ESTIMATES

被引:136
作者
ZABREJKO, PP [1 ]
NGUEN, DF [1 ]
机构
[1] BELORUSSIAN STATE UNIV,DEPT MATH,MINSK 220080,BELORUSSIA,USSR
关键词
Acknowledaement: This work was done while the first author was visiting professor at the University of Augsburg. The author wishes to express his gratitude to the University of Augsburg for the hospitality during his stay. He is especially indebted to Professor Jochen Briining; Professor Karl-Heinz Hoffmann and Mr. Jiirgen Appell for some interesting discussions on this paper. Moreover; he would like to thank Miss Elfriede Stegmiiller for her excellent and careful typing of the manuscript;
D O I
10.1080/01630568708816254
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
7
引用
收藏
页码:671 / 684
页数:14
相关论文
共 7 条
[1]  
Kantorovich L.V., 1984, FUNCTIONAL ANAL
[2]  
Krasnoselskij M. A., 1969, APPROXIMATE SOLUTION
[3]   SHARP ERROR-BOUNDS FOR NEWTON PROCESS [J].
POTRA, FA ;
PTAK, V .
NUMERISCHE MATHEMATIK, 1980, 34 (01) :63-72
[4]  
PTAK V, 1976, NUMER MATH, V25, P279, DOI 10.1007/BF01399416
[5]  
Ptak V., 1975, COMMENT MATH U CAROL, V16, P699
[6]  
Zabrejko P. P., 1982, UKR MAT ZH, V34, P365
[7]  
ZABREJKO PP, 1980, DIFFERENTIATION FUNC, P51