![](/images/graphics-bg.png)
Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure
Joint Authors
Artidiello, S.
Vassileva, María P.
Cordero, Alicia
Torregrosa, Juan R.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step.
Moreover, we show an extension to higher order, adding only one functional evaluation of the vectorial nonlinear function.
We perform numerical tests to compare the proposed methods with other schemes in the literature and test their effectiveness on specific nonlinear problems.
Moreover, some real basins of attraction are analyzed in order to check the relation between the order of convergence and the set of convergent starting points.
American Psychological Association (APA)
Artidiello, S.& Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. 2015. Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052010
Modern Language Association (MLA)
Artidiello, S.…[et al.]. Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052010
American Medical Association (AMA)
Artidiello, S.& Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052010
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052010