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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics
Joint Authors
Chicharro, Francisco I.
Vassileva, María P.
Cordero, Alicia
Torregrosa, Juan R.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-31
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented.
From the error equation of this class, different families of iterative schemes with memory can be designed increasing the order of convergence up to six.
The real stability analysis of the biparametric family without memory is made on quadratic polynomials, finding areas in the parametric plane with good performance.
Moreover, in order to study the real behavior of the parametric class with memory, we associate it with a discrete multidimensional dynamical system.
By analyzing the fixed and critical points of its vectorial rational function, we can select those methods with best stability properties.
American Psychological Association (APA)
Chicharro, Francisco I.& Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. 2017. King-Type Derivative-Free Iterative Families: Real and Memory Dynamics. Complexity،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142662
Modern Language Association (MLA)
Chicharro, Francisco I.…[et al.]. King-Type Derivative-Free Iterative Families: Real and Memory Dynamics. Complexity No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1142662
American Medical Association (AMA)
Chicharro, Francisco I.& Cordero, Alicia& Torregrosa, Juan R.& Vassileva, María P.. King-Type Derivative-Free Iterative Families: Real and Memory Dynamics. Complexity. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142662