A NOTE ON THE HALLEY METHOD IN BANACH-SPACES

被引:91
作者
CHEN, D
ARGYROS, IK
QIAN, QS
机构
[1] CAMERON UNIV,DEPT MATH,LAWTON,OK 73505
[2] UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
关键词
D O I
10.1016/0096-3003(93)90137-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide a convergence theorem under the usual Ostrowski-Kantorovich conditions for an equivalent form of the Halley method in Banach spaces. The best possible upper error bound for the method is obtained. Some applications to the solution of quadratic operator equations are provided.
引用
收藏
页码:215 / 224
页数:10
相关论文
共 8 条
[1]   THE SECANT METHOD IN GENERALIZED BANACH-SPACES [J].
ARGYROS, IK .
APPLIED MATHEMATICS AND COMPUTATION, 1990, 39 (02) :111-121
[2]  
Argyros IK, 1988, AEQUATIONES MATH, V36, P99, DOI 10.1007/BF01837974
[3]  
Kanno S., 1992, MATH JPN, V37, P711
[4]  
Kantorovich L. V, 1964, FUNCTIONAL ANAL
[5]  
Ortega J.M., 1970, OCLC1154227410, Patent No. 1154227410
[6]  
Ostrowski A.M., 1973, SOLUTION EQUATIONS E
[7]  
Rall L.B., 1969, COMPUTATIONAL SOLUTI
[8]   ON THE METHOD OF TANGENT HYPERBOLAS IN BANACH-SPACES [J].
YAMAMOTO, T .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 21 (01) :75-86