Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 90, 2013 - Issue 10: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE
Submit an article Journal homepage
156
Views
16
CrossRef citations to date
0
Altmetric
Section A

Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods

Santiago ArtidielloInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain
,
Francisco ChicharroInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain
,
Alicia CorderoInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, SpainCorrespondence[email protected]
&
Juan R. TorregrosaInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain
Pages 2049-2060 | Received 10 Aug 2012, Accepted 02 Nov 2012, Published online: 07 Feb 2013

Citations (16)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

B. Campos, Alicia Cordero, Juan R. Torregrosa & P. Vindel. (2015) Dynamics of the family of c-iterative methods. International Journal of Computer Mathematics 92:9, pages 1815-1825.
Read now
Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa & María P. Vassileva. (2015) Two weighted eight-order classes of iterative root-finding methods. International Journal of Computer Mathematics 92:9, pages 1790-1805.
Read now

Articles from other publishers (14)

José J. Padilla, Francisco I. Chicharro, Alicia Cordero & Juan R. Torregrosa. (2022) Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction. Fractal and Fractional 6:10, pages 572.
Crossref
Ahmet Yaşar Özban & Bahar Kaya. (2022) A new family of optimal fourth-order iterative methods for nonlinear equations. Results in Control and Optimization 8, pages 100157.
Crossref
Debasis Sharma & Sanjaya Kumar Parhi. (2020) Complex dynamics of a sixth and seventh order family of root finding methods. SeMA Journal 77:3, pages 339-349.
Crossref
J. Enrique Vázquez-Lozano, Alicia Cordero & Juan R. Torregrosa. (2018) Dynamical analysis on cubic polynomials of Damped Traub’s method for approximating multiple roots. Applied Mathematics and Computation 328, pages 82-99.
Crossref
Alicia Cordero, Lucia Guasp & Juan R. Torregrosa. (2018) Choosing the most stable members of Kou’s family of iterative methods. Journal of Computational and Applied Mathematics 330, pages 759-769.
Crossref
Alicia Cordero, Alfredo Ferrero & Juan R. Torregrosa. (2016) Damped Traub?s method: Convergence and stability. Mathematics and Computers in Simulation 119, pages 57-68.
Crossref
D.K.R. Babajee, A. Cordero & J.R. Torregrosa. (2016) Study of iterative methods through the Cayley Quadratic Test. Journal of Computational and Applied Mathematics 291, pages 358-369.
Crossref
Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa & Maria P. Vassileva. (2015) Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure. Applied Mathematics and Computation 268, pages 1064-1071.
Crossref
J. P. Jaiswal. (2015) Two Bi-Accelerator Improved with Memory Schemes for Solving Nonlinear Equations. Discrete Dynamics in Nature and Society 2015, pages 1-7.
Crossref
S. Artidiello, A. Cordero, Juan R. Torregrosa & M. P. Vassileva. (2014) Optimal High-Order Methods for Solving Nonlinear Equations. Journal of Applied Mathematics 2014, pages 1-9.
Crossref
Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, Maria P. Vassileva & Pura Vindel. (2013) Chaos in King’s iterative family. Applied Mathematics Letters 26:8, pages 842-848.
Crossref
Alicia Cordero, Juan R. Torregrosa & Pura Vindel. (2013) Dynamics of a family of Chebyshev–Halley type methods. Applied Mathematics and Computation 219:16, pages 8568-8583.
Crossref
Francisco I. Chicharro, Alicia Cordero & Juan R. Torregrosa. (2013) Drawing Dynamical and Parameters Planes of Iterative Families and Methods. The Scientific World Journal 2013, pages 1-11.
Crossref
Farahnaz Soleimani, Fazlollah Soleymani & Stanford Shateyi. (2013) Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations. Discrete Dynamics in Nature and Society 2013, pages 1-10.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.