A UNIFIED DERIVATION OF SEVERAL ERROR-BOUNDS FOR NEWTONS PROCESS

被引:14
作者
YAMAMOTO, T [1 ]
机构
[1] EHIME UNIV,FAC SCI,DEPT MATH,MATSUYAMA,EHIME 790,JAPAN
关键词
D O I
10.1016/0377-0427(85)90015-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:179 / 191
页数:13
相关论文
共 36 条
[1]   CONTRACTION AND APPROXIMATE CONTRACTION WITH AN APPLICATION TO MULTI-POINT BOUNDARY-VALUE-PROBLEMS [J].
AGARWAL, RP .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1983, 9 (04) :315-325
[2]  
BOHL E, 1974, MONOTONIE LOSBARKEIT
[3]  
Collatz L., 1966, FUNCTIONAL ANAL NUME
[4]   ON KANTOROVICH HYPOTHESIS FOR NEWTONS METHOD [J].
DENNIS, JE .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1969, 6 (03) :493-&
[5]   AFFINE INVARIANT CONVERGENCE THEOREMS FOR NEWTONS METHOD AND EXTENSIONS TO RELATED METHODS [J].
DEUFLHARD, P ;
HEINDL, G .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (01) :1-10
[6]   OPTIMAL ERROR BOUNDS FOR NEWTON-KANTOROVICH THEOREM [J].
GRAGG, WB ;
TAPIA, RA .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (01) :10-13
[7]  
Kantorovi L.V., 1949, T MATEM I VA STEKLOV, V28, P104
[8]  
KANTOROVICH LV, 1948, DOKL AKAD NAUK SSSR+, V59, P1237
[9]  
Kantorovich LV, 1964, FUNCTIONAL ANAL NORM
[10]  
Kantorovich LV, 1951, DOKL AKAD NAUK SSSR, V76, P17