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Convergence domains of certain iterative methods for solving nonlinear equations

 

作者: Xiaojun Chen,   Tetsuro Yamamoto,  

 

期刊: Numerical Functional Analysis and Optimization  (Taylor Available online 1989)
卷期: Volume 10, issue 1-2  

页码: 37-48

 

ISSN:0163-0563

 

年代: 1989

 

DOI:10.1080/01630568908816289

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

In this paper, we consider the iterationfor solving the equationwhere f and g are operators in Banach spaces, f is Féchet differentiable, and A(x) is an approximation for f'(x), while the differentiability of g is not assumed. Under Zabrejko-Nguen type hypotheses, we determine a domain Ω such that starting from any point of Ω the method converges to a solution of the equation

 

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