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International Journal of Computer Mathematics Volume 89, 2012 - Issue 13-14: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING
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Section B

Study of the dynamics of third-order iterative methods on quadratic polynomials

Alicia Cordero Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, SpainCorrespondence[email protected]
,
Juan R. Torregrosa Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain
&
Pura Vindel Instituto de Matemáticas y Aplicaciones de Castellón Universitat Jaume I, Castellón de la Plana, Spain
Pages 1826-1836 | Received 15 Sep 2011, Accepted 03 Apr 2012, Published online: 16 May 2012

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Jesús Vigo-Aguiar & Pedro Alonso. (2012) Computational and mathematical methods in science and engineering. International Journal of Computer Mathematics 89:13-14, pages 1725-1727.
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Articles from other publishers (8)

Dharmendra Kumar Gupta, Eulalia Martínez, Sukhjit Singh, Jose Luis Hueso, Shwetabh Srivastava & Abhimanyu Kumar. (2021) Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative. International Journal of Nonlinear Sciences and Numerical Simulation 22:3-4, pages 267-285.
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Samundra Regmi, Christopher Argyros, Ioannis Argyros & Santhosh George. (2021) Ball Convergence of a Parametric Efficient Family of Iterative Methods for Solving Nonlinear Equations. Foundations 1:1, pages 23-31.
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Ioannis K. Argyros, Alicia Cordero, Á. Alberto Magreñán & Juan R. Torregrosa. (2017) Third-degree anomalies of Traub’s method. Journal of Computational and Applied Mathematics 309, pages 511-521.
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Eulalia Martínez, Sukhjit Singh, José L. Hueso & Dharmendra K. Gupta. (2016) Local convergence of a family of iterative methods for Hammerstein equations. Journal of Mathematical Chemistry 54:7, pages 1370-1386.
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Eulalia Martínez, Sukhjit Singh, José L. Hueso & Dharmendra K. Gupta. (2016) Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces. Applied Mathematics and Computation 281, pages 252-265.
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Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Qingbiao Wu & Yasir Khan. (2013) Newton-Kantorovich convergence theorem of a new modified Halley’s method family in a Banach space. Advances in Difference Equations 2013:1.
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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.
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Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan & Qingbiao Wu. (2013) Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces. Abstract and Applied Analysis 2013, pages 1-8.
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