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Advances in iterative methods for nonlinear equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Advances in iterative methods for nonlinear equations/ edited by Sergio Amat, Sonia Busquier.
other author:	Amat, Sergio.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	v, 286 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Iterative methods (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-39228-8
ISBN:	9783319392288

Advances in iterative methods for nonlinear equations
Advances in iterative methods for nonlinear equations[electronic resource] /edited by Sergio Amat, Sonia Busquier. - Cham :Springer International Publishing :2016. - v, 286 p. :ill., digital ;24 cm. - SEMA SIMAI Springer series,v.102199-3041 ;. - SEMA SIMAI Springer series ;v.6..

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 in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

ISBN: 9783319392288

Standard No.: 10.1007/978-3-319-39228-8doiSubjects--Topical Terms:

528050
Iterative methods (Mathematics)

LC Class. No.: QA297.8

Dewey Class. No.: 518.26

Advances in iterative methods for nonlinear equations
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520 $a 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 in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
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650 2 4 $a Difference and Functional Equations. $3 672077
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650 2 4 $a Algorithms. $3 527865
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