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
CLICK HERE TO GET THIS BOOK >>>Computational Theory of Iterative Methods

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

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

Iterative Methods for Linear Systems

Iterative Methods for Linear Systems
  • Author : Maxim A. Olshanskii,Eugene E. Tyrtyshnikov
  • Publisher : SIAM
  • Release : 21 July 2014
GET THIS BOOK Iterative Methods for Linear Systems

Iterative Methods for Linear Systems÷offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.÷÷

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 BOOK Iterative 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

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 BOOK 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

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 : 27 April 2016
GET THIS BOOK Intelligent Numerical Methods II Applications to Multivariate Fractional Calculus

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.

Computational Methods for Linear Integral Equations

Computational Methods for Linear Integral Equations
  • Author : Prem Kythe,Pratap Puri
  • Publisher : Springer Science & Business Media
  • Release : 28 June 2011
GET THIS BOOK Computational Methods for Linear Integral Equations

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 centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including

Functions of Matrices

Functions of Matrices
  • Author : Nicholas J. Higham
  • Publisher : SIAM
  • Release : 08 May 2021
GET THIS BOOK Functions of Matrices

A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence

Iterative Methods for Toeplitz Systems

Iterative Methods for Toeplitz Systems
  • Author : Michael K. Ng
  • Publisher : Numerical Mathematics and Scie
  • Release : 08 May 2021
GET THIS BOOK Iterative Methods for Toeplitz Systems

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 analysis and linear algebra is assumed. The first part of the book (chapters one and two) gives a brief review of some terms and results in linear algebra and the

Tensor Numerical Methods in Scientific Computing

Tensor Numerical Methods in Scientific Computing
  • Author : Boris N. Khoromskij
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 11 June 2018
GET THIS BOOK Tensor Numerical Methods in Scientific Computing

The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic

Numerical Methods in Computational Electrodynamics

Numerical Methods in Computational Electrodynamics
  • Author : Ursula van Rienen
  • Publisher : Springer Science & Business Media
  • Release : 08 May 2021
GET THIS BOOK Numerical Methods in Computational Electrodynamics

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. Special highlights include a first detailed treatment of the Finite Integration Technique (FIT) in a book - in theory and applications, a documentation of most recent algorithms in use in

Numerical Analysis for Scientists and Engineers

Numerical Analysis for Scientists and Engineers
  • Author : Madhumangal Pal
  • Publisher : Alpha Science International Limited
  • Release : 08 May 2021
GET THIS BOOK Numerical Analysis for Scientists and Engineers

Numerical Analysis for Scientists and Engineers develops the subject gradually by illustrating several examples for both the beginners and the advanced readers using very simple language. The classical and recently developed numerical methods are derived from mathematical and computational points of view. Different aspects of errors in computation are discussed in detailed. Some finite difference operators and different techniques to solve difference equations are presented here. Various types of interpolation, including cubic-spline, methods and their applications are introduced. Direct and