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Advances in iterative methods for nonlinear equations

Author: Sergio Amat; Sonia Busquier
Publisher: Switzerland : Springer, [2016]
Series: SEMA SIMAI Springer series, v. 10.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Advances in Iterative Methods for Nonlinear Equations.
[Place of publication not identified] : Springer Verlag 2016
(OCoLC)948561475
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sergio Amat; Sonia Busquier
ISBN: 9783319392288 331939228X
OCLC Number: 959618095
Description: 1 online resource.
Contents: 1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensen-type methods --
2 Ioannis K. Argyros and Daniel Gonzalez: Newton?s Method for Convex Optimization --
3 I. K. Argyros and Á. A. Magreñán: Inexact Newton methods on Riemannian Manifolds --
4 Alicia Cordero and Juan R. Torregrosa: On the design of optimal iterative methods for solving nonlinear equations --
5 J. A. Ezquerro and M. A. Hernandez-Veron: The theory of Kantorovich for Newton's method: conditions on the second derivative --
6 J.-C. Yakoubsohn, J. M. Gutiérrez and Á. A. Magreñán: Complexity of an homotopy method at the neighbourhood of a zero --
7 M. A. Hernandez-Veron and N. Romero: A qualitative analysis of a family of Newton-like iterative process with R-order of convergence at least three --
8 J. M. Gutierrez, L. J. Hernandez, Á. A. Magreñán and M. T. Rivas: Measures of the basins of attracting n-cycles for the relaxed Newton's method --
9 Miquel Grau-Sanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis.
Series Title: SEMA SIMAI Springer series, v. 10.
Responsibility: Sergio Amat, Sonia Busquier, editors

Abstract:

This book focuses on the approximation of nonlinear equations using iterative methods. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of  Read more...

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