On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications
This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. Some numerical experiments, where the analyzed methods present better behavior than some classical sch...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/782170 |
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| Summary: | This paper is devoted to the study of a class of high-order iterative
methods for nonlinear equations on Banach spaces. An analysis of
the convergence under Kantorovich-type conditions is proposed. Some
numerical experiments, where the analyzed methods present better behavior
than some classical schemes, are presented. These applications
include the approximation of some quadratic and integral equations. |
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| ISSN: | 1085-3375 1687-0409 |