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 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....

Iterative Methods for Linear Systems

Iterative Methods for Linear Systems
  • Author : Maxim A. Olshanskii,Eugene E. Tyrtyshnikov
  • Publisher : SIAM
  • Release Date : 2014-07-21
  • Total pages : 244
  • ISBN : 9780080560700
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Summary : 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 ...

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 ...

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 ...

Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self Adjoint Boundary Value Problems

Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self Adjoint Boundary Value Problems
  • Author : ENGELI,GINSBURG,STIEFEL,RUTISHAUSER
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Total pages : 107
  • ISBN : 9780080560700
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Summary : Read online Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self Adjoint Boundary Value Problems written by ENGELI,GINSBURG,STIEFEL,RUTISHAUSER, published by Birkhäuser which was released on 2012-12-06. Download full Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self ...

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 ...

Functions of Matrices

Functions of Matrices
  • Author : Nicholas J. Higham
  • Publisher : SIAM
  • Release Date : 2008
  • Total pages : 425
  • ISBN : 9780080560700
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Summary : 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 ...

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 ...

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1984
  • Total pages : 212
  • ISBN : 9780080560700
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Summary : Read online Scientific and Technical Aerospace Reports written by , published by which was released on 1984. Download full Scientific and Technical Aerospace Reports Books now! Available in PDF, ePub and Kindle....

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. ...

Tensor Numerical Methods in Scientific Computing

Tensor Numerical Methods in Scientific Computing
  • Author : Boris N. Khoromskij
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2018-06-11
  • Total pages : 379
  • ISBN : 9780080560700
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Summary : 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 ...

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....

Numerical Analysis for Scientists and Engineers

Numerical Analysis for Scientists and Engineers
  • Author : Madhumangal Pal
  • Publisher : Alpha Science International Limited
  • Release Date : 2007
  • Total pages : 654
  • ISBN : 9780080560700
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Summary : 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 ...