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A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods
  • Author : A. Alberto Magrenan
  • Publsiher : Academic Press
  • Release : 13 February 2018
  • ISBN : 0128094931
  • Pages : 400 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKA Contemporary Study of Iterative Methods

Summary:
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


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


Computational Theory of Iterative Methods

Computational Theory of Iterative Methods
  • Author : Ioannis Argyros
  • Publisher : Elsevier
  • Release : 04 September 2007
GET THIS BOOKComputational Theory of Iterative Methods

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


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



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


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


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


Classical and Modern Numerical Analysis

Classical and Modern Numerical Analysis
  • Author : Azmy S. Ackleh,Edward James Allen,R. Baker Kearfott,Padmanabhan Seshaiyer
  • Publisher : CRC Press
  • Release : 20 July 2009
GET THIS BOOKClassical and Modern Numerical Analysis

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o



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 : Anonim
  • 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 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


The Linear Complementarity Problem

The Linear Complementarity Problem
  • Author : Richard Cottle,Jong-Shi Pang,Richard E. Stone
  • Publisher : Anonim
  • Release : 02 March 1992
GET THIS BOOKThe Linear Complementarity Problem

During the past twenty years, the linear complementarity problem has emerged as an important development in mathematical programming and numerical linear algebra. The Linear Complementarity Problem is a text designed to be suitable for both classroom use and as a references for researchers. The book is ideal for graduate students pursuing an advanced degree in operations research, but it is also of importance for many related fields of study, such as: computer science, applied mathematics, engineering, business studies, etc. * First


Applied Iterative Methods

Applied Iterative Methods
  • Author : Charles L. Byrne
  • Publisher : A K Peters/CRC Press
  • Release : 02 March 2021
GET THIS BOOKApplied Iterative Methods

Applied Iterative Methods is a self-contained treatise suitable as both a reference and a graduate-level textbook in the area of iterative algorithms. It is the first book to combine subjects such as optimization, convex analysis, and approximation theory and organize them around a detailed and mathematically sound treatment of iterative algorithms. Such algorithms are used in solving problems in a diverse area of applications, most notably in medical imaging such as emission and transmission tomography and magnetic-resonance imaging, as well