Computational Theory of Iterative Methods

Written By Ioannis Argyros
Computational Theory of Iterative Methods
  • Publsiher : Elsevier
  • Release : 04 September 2007
  • ISBN : 9780080560700
  • Pages : 504 pages
  • Rating : 5/5 from 1 reviews
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Download or read book entitled Computational Theory of Iterative Methods by author: Ioannis Argyros which was release on 04 September 2007 and published by Elsevier with total page 504 pages . This book available in PDF, EPUB and Kindle Format. 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

Computational Theory of Iterative Methods
  • Author : Ioannis Argyros
  • Publisher : Elsevier
  • Release Date : 2007-09-04
  • Total pages : 504
  • ISBN : 9780080560700
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Summary : 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

Aspects of the Computational Theory for Certain Iterative Methods
  • Author : Ioannis K. Argyros,Saïd Hilout
  • Publisher : Unknown
  • Release Date : 2009
  • Total pages : 571
  • ISBN : 9780080560700
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Summary : Read online Aspects of the Computational Theory for Certain Iterative Methods written by Ioannis K. Argyros,Saïd Hilout, published by which was released on 2009. Download full Aspects of the Computational Theory for Certain Iterative Methods Books now! Available in PDF, ePub and Kindle....

Aspects of the Computational Theory for Certain Iterative Methods

Aspects of the Computational Theory for Certain Iterative Methods
  • Author : Ioannis Konstantinos Argyros,Saïd Hilout
  • Publisher : Polimetrica s.a.s.
  • Release Date : 2009
  • Total pages : 571
  • ISBN : 9780080560700
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Summary : 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. Download full Aspects of the Computational Theory for Certain Iterative Methods Books now! Available in PDF, ePub and Kindle....

A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods
  • Author : A. Alberto Magrenan,Ioannis Argyros
  • Publisher : Academic Press
  • Release Date : 2018-02-13
  • Total pages : 400
  • ISBN : 9780080560700
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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 ...

Intelligent Numerical Methods II Applications to Multivariate Fractional Calculus

Intelligent Numerical Methods II  Applications to Multivariate Fractional Calculus
  • Author : George A. Anastassiou,Ioannis K. Argyros
  • Publisher : Springer
  • Release Date : 2016-04-27
  • Total pages : 116
  • ISBN : 9780080560700
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Summary : 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 ...

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 Date : 2017-07-12
  • Total pages : 365
  • ISBN : 9780080560700
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Summary : 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 ...

Computational Methods for Linear Integral Equations

Computational Methods for Linear Integral Equations
  • Author : Prem Kythe,Pratap Puri
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-06-28
  • Total pages : 508
  • ISBN : 9780080560700
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Summary : This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover ing the nineteenth and twentieth ...

Optimization and Dynamics with Their Applications

Optimization and Dynamics with Their Applications
  • Author : Akio Matsumoto
  • Publisher : Springer
  • Release Date : 2017-05-23
  • Total pages : 344
  • ISBN : 9780080560700
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Summary : 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 ...

Iterative Methods for Toeplitz Systems

Iterative Methods for Toeplitz Systems
  • Author : Michael K. Ng
  • Publisher : Numerical Mathematics and Scie
  • Release Date : 2004
  • Total pages : 350
  • ISBN : 9780080560700
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Summary : Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing. This book deals primarily with iterative methods for solving Toeplitz and Toeplitz-related linear systems, discussing both the algorithms and their convergence theories. A basic knowledge of real analysis, elementary numerical ...

Computational Methods in Bifurcation Theory and Dissipative Structures

Computational Methods in Bifurcation Theory and Dissipative Structures
  • Author : M. Kubicek,M. Marek
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 243
  • ISBN : 9780080560700
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Summary : "Dissipative structures" is a concept which has recently been used in physics to discuss the formation of structures organized in space and/or time at the expense of the energy flowing into the system from the outside. The space-time structural organization of biological systems starting from the subcellular level up ...

Numerical Methods in Computational Electrodynamics

Numerical Methods in Computational Electrodynamics
  • Author : Ursula van Rienen
  • Publisher : Springer Science & Business Media
  • Release Date : 2001
  • Total pages : 375
  • ISBN : 9780080560700
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Summary : 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. ...

Newton Methods

Newton Methods
  • Author : Ioannis K. Argyros
  • Publisher : Nova Publishers
  • Release Date : 2005
  • Total pages : 404
  • ISBN : 9780080560700
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Summary : This self-contained treatment offers a contemporary and systematic development of the theory and application of Newton methods, which are undoubtedly the most effective tools for solving equations appearing in computational sciences. Its focal point resides in an exhaustive analysis of the convergence properties of several Newton variants used in connection ...

Computational Methods in Elementary Numerical Analysis

Computational Methods in Elementary Numerical Analysis
  • Author : John Ll Morris
  • Publisher : John Wiley & Sons
  • Release Date : 1983
  • Total pages : 410
  • ISBN : 9780080560700
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Summary : Read online Computational Methods in Elementary Numerical Analysis written by John Ll Morris, published by John Wiley & Sons which was released on 1983. Download full Computational Methods in Elementary Numerical Analysis Books now! Available in PDF, ePub and Kindle....

Krylov Methods for Nonsymmetric Linear Systems

Krylov Methods for Nonsymmetric Linear Systems
  • Author : Gérard Meurant,Jurjen Duintjer Tebbens
  • Publisher : Springer
  • Release Date : 2020-12-07
  • Total pages : 686
  • ISBN : 9780080560700
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Summary : 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 ...

Numerical Methods and Methods of Approximation in Science and Engineering

Numerical Methods and Methods of Approximation in Science and Engineering
  • Author : Karan S. Surana
  • Publisher : CRC Press
  • Release Date : 2018-10-31
  • Total pages : 478
  • ISBN : 9780080560700
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Summary : Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and ...