A Contemporary Study of Iterative Methods

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 is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography Explores the uses of computation of iterative methods across non-linear analysis Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options

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  • Author : A. Alberto Magrenan
  • Publisher : Academic Press
  • Pages : 400 pages
  • ISBN : 0128094931
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKA Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods
  • Author : A. Alberto Magrenan,Ioannis Argyros
  • Publisher : Academic Press
  • Release : 13 February 2018
GET THIS BOOKA Contemporary Study of Iterative Methods

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 is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In

Iterative Methods and Their Dynamics with Applications

Iterative Methods and Their Dynamics with Applications
  • Author : Ioannis Konstantinos Argyros,Angel Alberto Magreñán
  • Publisher : CRC Press
  • Release : 12 July 2017
GET THIS BOOKIterative Methods and Their Dynamics with Applications

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 algorithms in both finite-dimensional and infinite-dimensional spaces and presents several applications and connections with fixed point theory. It contains an abundant and updated bibliography and provides comparisons between various investigations

Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems
  • Author : Juan R. Torregrosa,Alicia Cordero,Fazlollah Soleymani
  • Publisher : MDPI
  • Release : 06 December 2019
GET THIS BOOKIterative Methods for Solving Nonlinear Equations and Systems

Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding

Iterative Methods for Approximate Solution of Inverse Problems

Iterative Methods for Approximate Solution of Inverse Problems
  • Author : A.B. Bakushinsky,M.Yu. Kokurin
  • Publisher : Springer Science & Business Media
  • Release : 28 September 2007
GET THIS BOOKIterative Methods for Approximate Solution of Inverse Problems

This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs

Point Estimation of Root Finding Methods

Point Estimation of Root Finding Methods
  • Author : Miodrag Petkovic
  • Publisher : Springer Science & Business Media
  • Release : 29 May 2008
GET THIS BOOKPoint Estimation of Root Finding Methods

This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on

Advances in Iterative Methods for Nonlinear Equations

Advances in Iterative Methods for Nonlinear Equations
  • Author : Sergio Amat,Sonia Busquier
  • Publisher : Springer
  • Release : 27 September 2016
GET THIS BOOKAdvances in Iterative Methods for Nonlinear Equations

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

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications
  • Author : Ioannis K. Argyros,Santhosh George,Narayan Thapa
  • Publisher : Unknown Publisher
  • Release : 17 June 2018
GET THIS BOOKMathematical Modeling for the Solution of Equations and Systems of Equations with Applications

This book is dedicated to the approximation of solutions of nonlinear equations using iterative methods. The study about convergence matter of iterative methods is usually based on two categories: semi-local and local convergence analysis. The semi-local convergence category is, based on the information around an initial point, to provide criteria ensuring the convergence of the method; while the local one is, based on the information around a solution, to find estimates of the radii of the convergence balls. The book

Iterative Methods in Combinatorial Optimization

Iterative Methods in Combinatorial Optimization
  • Author : Lap Chi Lau,R. Ravi,Mohit Singh
  • Publisher : Cambridge University Press
  • Release : 18 April 2011
GET THIS BOOKIterative Methods in Combinatorial Optimization

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation

Numerical Methods for Two-Point Boundary-Value Problems

Numerical Methods for Two-Point Boundary-Value Problems
  • Author : Herbert B. Keller
  • Publisher : Courier Dover Publications
  • Release : 14 November 2018
GET THIS BOOKNumerical Methods for Two-Point Boundary-Value Problems

Elementary yet rigorous, this concise treatment explores practical numerical methods for solving very general two-point boundary-value problems. The approach is directed toward students with a knowledge of advanced calculus and basic numerical analysis as well as some background in ordinary differential equations and linear algebra. After an introductory chapter that covers some of the basic prerequisites, the text studies three techniques in detail: initial value or "shooting" methods, finite difference methods, and integral equations methods. Sturm-Liouville eigenvalue problems are treated

Nonlinear Systems

Nonlinear Systems
  • Author : Dongbin Lee,Christos Volos,Timothy Burg
  • Publisher : BoD – Books on Demand
  • Release : 19 October 2016
GET THIS BOOKNonlinear Systems

The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a

Handbook of Numerical Analysis

Handbook of Numerical Analysis
  • Author : Philippe G. Ciarlet,Jacques-Louis Lions
  • Publisher : Gulf Professional Publishing
  • Release : 03 January 2002
GET THIS BOOKHandbook of Numerical Analysis

This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing;