Computational Methods in Nonlinear Analysis

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Opis: Computational Methods in Nonlinear Analysis - Said Hilout, Ioannis K. Argyros

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed points problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.Kantorovich Theory for Newton-Like Methods; Holder Conditions and Newton-Type Methods; Regular Smoothness Conditions for Iterative Methods; Fixed Point Theory and Iterative Methods; Mathematical Programming; Fixed Point Theory for Set-Valued Mapping; Special Convergence Conditions; Recurrent Functions and Newton-Like Methods; Recurrent Functions and Special Iterative Methods.


Szczegóły: Computational Methods in Nonlinear Analysis - Said Hilout, Ioannis K. Argyros

Tytuł: Computational Methods in Nonlinear Analysis
Autor: Said Hilout, Ioannis K. Argyros
Producent: World Scientific Publishing Co Ltd
ISBN: 9789814405829
Rok produkcji: 2013
Ilość stron: 550
Oprawa: Twarda


Recenzje: Computational Methods in Nonlinear Analysis - Said Hilout, Ioannis K. Argyros

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Computational Methods in Nonlinear Analysis

,

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed points problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.Kantorovich Theory for Newton-Like Methods; Holder Conditions and Newton-Type Methods; Regular Smoothness Conditions for Iterative Methods; Fixed Point Theory and Iterative Methods; Mathematical Programming; Fixed Point Theory for Set-Valued Mapping; Special Convergence Conditions; Recurrent Functions and Newton-Like Methods; Recurrent Functions and Special Iterative Methods.

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