# computational theory of iterative methods

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## Computational Theory of Iterative Methods

 Author : Ioannis Argyros Publisher : Elsevier Release Date : 04 September 2007 ISBN 10 : 9780080560700 Pages : 504 pages Rating : 5/5 (1 users)

The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory. - Latest convergence results for the iterative methods - Iterative methods with the least computational cost - Iterative methods with the weakest convergence conditions - Open problems on iterative methods

### Computational Theory of Iterative Methods by Ioannis Argyros

The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and

### Aspects of the Computational Theory for Certain Iterative Methods by Ioannis Konstantinos Argyros,Saïd Hilout

Download or read online Aspects of the Computational Theory for Certain Iterative Methods written by Ioannis Konstantinos Argyros,Saïd Hilout, published by Polimetrica s.a.s. which was released on 2009. Get Aspects of the Computational Theory for Certain Iterative Methods Books now! Available in PDF, ePub and Kindle.

### Krylov Methods for Nonsymmetric Linear Systems by Gérard Meurant,Jurjen Duintjer Tebbens

This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many

### Iterative Methods for Sparse Linear Systems by Yousef Saad

Mathematics of Computing -- General.

### Iterative Methods and Their Dynamics with Applications by Ioannis Konstantinos Argyros,Angel Alberto Magreñán

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical

### A Contemporary Study of Iterative Methods by A. Alberto Magrenan,Ioannis Argyros

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that

### Handbook of Research on Computational Science and Engineering Theory and Practice by Leng, J.

By using computer simulations in research and development, computational science and engineering (CSE) allows empirical inquiry where traditional experimentation and methods of inquiry are difficult, inefficient, or prohibitively expensive. The Handbook of Research on Computational Science and Engineering: Theory and Practice is a reference for interested researchers and decision-makers who

### Computational Methods in Nonlinear Analysis by Ioannis K. Argyros,Sad Hilout

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

### Functional Numerical Methods Applications to Abstract Fractional Calculus by George A. Anastassiou,Ioannis K. Argyros

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to

### Proceedings of the international conference NUMERICAL COMPUTATIONS THEORY AND ALGORITHMS by Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio

This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (

### Computational Methods for Numerical Analysis with R by James P Howard, II

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function

### Numerical Methods in Computational Electrodynamics by Ursula van Rienen

This interdisciplinary book deals with the solution of large linear systems as they typically arise in computational electrodynamics. It presents a collection of topics which are important for the solution of real life electromagnetic problems with numerical methods - covering all aspects ranging from numerical mathematics up to measurement techniques.

### Boundary and Interior Layers Computational and Asymptotic Methods BAIL 2014 by Petr Knobloch

This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and

### Computational Modelling of Concrete Structures by Nenad Bicanic,René Borst,Herbert Mang,Gunther Meschke

Since 1984 the EURO-C conference series (Split 1984, Zell am See 1990, Innsbruck 1994, Badgastein 1998, St Johann im Pongau 2003, Mayrhofen 2006, Schladming 2010) has provided a forum for academic discussion of the latest theoretical, algorithmic and modelling developments associated with computational simulations of concrete and concrete structure

### Computational Methods in Power System Analysis by Reijer Idema,Domenico J.P. Lahaye

This book treats state-of-the-art computational methods for power flow studies and contingency analysis. In the first part the authors present the relevant computational methods and mathematical concepts. In the second part, power flow and contingency analysis are treated. Furthermore, traditional methods to solve such problems are compared to modern solvers,