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New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems
Joint Authors
Vassileva, María P.
Cordero, Alicia
Torregrosa, Juan R.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-29
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A new set of predictor-corrector iterative methods with increasing order of convergence is proposed in order to estimate the solution of nonlinear systems.
Our aim is to achieve high order of convergence with few Jacobian and/or functional evaluations.
Moreover, we pay special attention to the number of linear systems to be solved in the process, with different matrices of coefficients.
On the other hand, by applying the pseudocomposition technique on each proposed scheme we get to increase their order of convergence, obtaining new efficient high-order methods.
We use the classical efficiency index to compare the obtained procedures and make some numerical test, that allow us to confirm the theoretical results.
American Psychological Association (APA)
Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. 2012. New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028979
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1028979
American Medical Association (AMA)
Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028979
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028979