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A new family of multipoint methods of second order

 

作者: J. A. Ezquerro,   M. A. Hernández,   >M. A. Salanova,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 5-6  

页码: 499-512

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816841

 

出版商: Marcel Dekker, Inc

 

关键词: Nonlinear equations in Banach spaces;multipoint iteration;convergence theorem;recurrence relations;a priori error bounds;Classification A.M.S. 1991: 47H17;Classification A.M.S. 1991: 65J15

 

数据来源: Taylor

 

摘要:

We introduce a new family of multipoint methods of R-order two to approximate a solution of nonlinear operators equation in Banach spaces. An existence-uniqueness theorem and error estimates are provided for this family of iterations using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. For a special choice of the parameter involved, we obtain the Midpoint method, whose order of convergence is three.

 

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