A class of optimal iterative methods of inverting a linear bounded operator
作者:
J. Herzberger,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 5-6
页码: 521-533
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816245
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A family of higher-order iterative methods for inverting a linear bounded operator in a Banach space is presented. This family depending on two integer parameters can be considered as hyperpower methods of [1]. A convergence Theorem is proved and an optimal class with respect to the efficiency index is determined . Several error bounds are derived and compared with those in the literature.
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