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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