Numerical Methods for Equations and its Applications  book cover
1st Edition

Numerical Methods for Equations and its Applications

ISBN 9781578087532
Published June 5, 2012 by CRC Press
474 Pages

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Book Description

This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.

Table of Contents

Introduction. Newton’s Method. Secant Method. Steffensen’s Method. Gauss-Newton Method. Newton-Type Methods. Inexact Methods. Werner’s Method. Halley’s Method. Methods for Variational Inequalities. Fast Two-Step Methods. Fixed Point Methods.

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Argyros, Ioannis K.; Cho, Yeol J.; Hilout, Saïd