Computational Theory of Iterative Methods

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• Author : Ioannis Argyros
• Publisher : Elsevier
• Pages : 504 pages
• ISBN : 9780080560700
• Rating : 5/5 from 1 reviews

Download or Read online Computational Theory of Iterative Methods full in PDF, ePub and kindle. this book written by Ioannis Argyros and published by Elsevier which was released on 04 September 2007 with total page 504 pages. We cannot guarantee that Computational Theory of Iterative Methods book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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 • Author : Ioannis Argyros
• Publisher : Elsevier
• Release : 04 September 2007

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

Aspects of the Computational Theory for Certain Iterative Methods • Author : Ioannis Konstantinos Argyros,Saïd Hilout
• Publisher : Polimetrica s.a.s.
• Release : 22 January 2022

The Theory and Applications of Iteration Methods • Author : Ioannis K. Argyros
• Publisher : CRC Press
• Release : 21 January 2022

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of

Krylov Methods for Nonsymmetric Linear Systems • Author : Gérard Meurant,Jurjen Duintjer Tebbens
• Publisher : Springer Nature
• Release : 02 October 2020

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 disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large

A Contemporary Study of Iterative Methods • Author : A. Alberto Magrenan,Ioannis Argyros
• Release : 13 February 2018

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

Numerical Computations Theory and Algorithms • Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov
• Publisher : Springer Nature
• Release : 13 February 2020

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications;

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

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

Intelligent Numerical Methods II Applications to Multivariate Fractional Calculus • Author : George A. Anastassiou,Ioannis K. Argyros
• Publisher : Springer
• Release : 27 April 2016

In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the first time in the literature. The chapters are self-contained and can be read independently. An extensive list of references is given per chapter. The book’s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering.

Numerical Methods for Equations and its Applications • Author : Ioannis K. Argyros,Yeol J. Cho,Saïd Hilout
• Publisher : CRC Press
• Release : 05 June 2012

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 co

Intelligent Numerical Methods Applications to Fractional Calculus • Author : George A. Anastassiou,Ioannis K. Argyros
• Publisher : Springer
• Release : 07 December 2015

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function. Chapters are self-contained and can be read independently and several advanced courses can be taught out of

Numerical Methods in Computational Electrodynamics • Author : Ursula van Rienen
• Publisher : Springer Science & Business Media
• Release : 06 December 2012

treated in more detail. They are just specimen of larger classes of schemes. Es sentially, we have to distinguish between semi-analytical methods, discretiza tion methods, and lumped circuit models. The semi-analytical methods and the discretization methods start directly from Maxwell's equations. Semi-analytical methods are concentrated on the analytical level: They use a computer only to evaluate expressions and to solve resulting linear algebraic problems. The best known semi-analytical methods are the mode matching method, which is described in subsection 2. 1, the

Functional Numerical Methods Applications to Abstract Fractional Calculus • Author : George A. Anastassiou,Ioannis K. Argyros
• Publisher : Springer
• Release : 27 October 2017

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 grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making, complex processes, systems modeling and control –

Optimization and Dynamics with Their Applications • Author : Akio Matsumoto
• Publisher : Springer
• Release : 23 May 2017

This book presents a variety of advanced research papers in optimization and dynamics written by internationally recognized researchers in these fields. As an example of applying optimization in sport, it introduces a new method for finding the optimal bat sizes in baseball and softball. The book is divided into three parts: operations research, dynamics, and applications. The operations research section deals with the convergence of Newton-type iterations for solving nonlinear equations and optimum problems, the limiting properties of the Nash

Numerical Methods for Large Eigenvalue Problems  