Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems ( Nonlinear Systems - Design, Analysis, Estimation and Control )

Publication series : Nonlinear Systems - Design, Analysis, Estimation and Control

Author: Alicia Cordero Juan R. Torregrosa and Maria P. Vassileva  

Publisher: IntechOpen‎

Publication year: 2016

E-ISBN: INT6149464106

P-ISBN(Paperback): 9789535127147

P-ISBN(Hardback):  9789535127154

Subject: O29 applied mathematics

Keyword: 应用数学

Language: ENG

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Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems

Description

In this chapter, we present an overview of some multipoint iterative methods for solving nonlinear systems obtained by using different techniques such as composition of known methods, weight function procedure, and pseudo-composition, etc. The dynamical study of these iterative schemes provides us valuable information about their stability and reliability. A numerical test on a specific problem coming from chemistry is performed to compare the described methods with classical ones and to confirm the theoretical results.

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