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A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods
Convergence, Dynamics and Applications

by A. Alberto Magrenan,Ioannis Argyros

  • Publisher : Academic Press
  • Release : 2018-02-13
  • Pages : 400
  • ISBN : 0128094931
  • Language : En, Es, Fr & De
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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

Iterative Methods and Their Dynamics with Applications

Iterative Methods and Their Dynamics with Applications
A Contemporary Study

by Ioannis Konstantinos Argyros,Angel Alberto Magreñán

  • Publisher : CRC Press
  • Release : 2017-07-12
  • Pages : 365
  • ISBN : 1351649507
  • Language : En, Es, Fr & De
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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 made in recent years in the field of computational nonlinear analysis. The book also provides recent advancements in the study of iterative procedures and can be used as a source to obtain the proper method to use in order to solve a problem. The book assumes a basic background in Mathematical Statistics, Linear Algebra and Numerical Analysis and may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences or Applied Sciences. Moreover, the newest techniques used to study the dynamics of iterative methods are described and used in the book and they are compared with the classical ones.

Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems
A Book

by Juan R. Torregrosa,Alicia Cordero,Fazlollah Soleymani

  • Publisher : MDPI
  • Release : 2019-12-06
  • Pages : 494
  • ISBN : 3039219405
  • Language : En, Es, Fr & De
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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 simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Iterative Methods for Approximate Solution of Inverse Problems

Iterative Methods for Approximate Solution of Inverse Problems
A Book

by A.B. Bakushinsky,M.Yu. Kokurin

  • Publisher : Springer Science & Business Media
  • Release : 2007-09-28
  • Pages : 291
  • ISBN : 140203122X
  • Language : En, Es, Fr & De
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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 and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn’t require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.

Advanced Studies in Contemporary Mathematics

Advanced Studies in Contemporary Mathematics
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Contemporary Studies in Advanced Materials and Processes

Contemporary Studies in Advanced Materials and Processes
YUCOMAT IV : Proceedings of the Fourth Yugoslav Materials Research Society Conference, Held in Herceg-Novi, Yugoslavia, September 10-14, 2001

by Dragan P. Uskoković

  • Publisher : Trans Tech Publication
  • Release : 2003
  • Pages : 279
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Materials science and engineering is a multidisciplinary area of research which encompasses the physics, chemistry and engineering of every class of material. In recent years, the field has attracted increasing attention, following the discovery of new types of material and their subsequent application in new technologies.

Chinese Journal of Contemporary Mathematics

Chinese Journal of Contemporary Mathematics
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Linear Complementarity Problem

The Linear Complementarity Problem
A Book

by Richard Cottle,Jong-Shi Pang,Richard E. Stone

  • Publisher : Unknown Publisher
  • Release : 1992
  • Pages : 762
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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 comprehensive introductory text on the linear complementarity problem (LCP). * Involves all three major aspects on the LCP: theory, applications, and computation. * Text includes numerous exercises to illustrate the theory and computational procedures presented.

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
A Book

by Ioannis K. Argyros,Santhosh George,Narayan Thapa

  • Publisher : Unknown Publisher
  • Release : 2018-06-17
  • Pages : 441
  • ISBN : 9781536133615
  • Language : En, Es, Fr & De
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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 is divided into two volumes. The chapters in each volume are self-contained so they can be read independently. Each chapter contains semi-local and local convergence results for single, multi-step and multi-point old and new contemporary iterative methods involving Banach, Hilbert or Euclidean valued operators. These methods are used to generate a sequence defined on the aforementioned spaces that converges with a solution of a nonlinear equation, an inverse problem or an ill-posed problem. It is worth mentioning that most problems in computational and related disciplines can be brought in the form of an equation using mathematical modelling. The solutions of equations can be found in analytical form only in special cases. Hence, it is very important to study the convergence of iterative methods. The book is a valuable tool for researchers, practitioners, graduate students, and can also be used as a textbook for seminars in all computational and related disciplines.

Boston Studies in the Philosophy of Science

Boston Studies in the Philosophy of Science
A Book

by Davis Baird,Eric R. Scerri,Lee C. McIntyre

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 362
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Handbook of Numerical Analysis

Handbook of Numerical Analysis
Solution of Equations in Rn (Part 4), Techniques of Scientific Computer (Part 4), Numerical Methods for Fluids (Part 2)

by Philippe G. Ciarlet,Jacques-Louis Lions

  • Publisher : Gulf Professional Publishing
  • Release : 1990
  • Pages : 650
  • ISBN : 9780444509062
  • Language : En, Es, Fr & De
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This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing; optimization theory; and systems science. It will also cover the numerical solution of actual problems of contemporary interest in applied mathematics, under the following headings: numerical methods for fluids; numerical methods for solids; and specific applications - including meteorology, seismology, petroleum mechanics and celestial mechanics.

Dissertation Abstracts

Dissertation Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1965
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Contemporary Perspectives in Consumer Research

Contemporary Perspectives in Consumer Research
A Book

by Richard John Lutz

  • Publisher : Boston, Mass. : Kent Publishing Company
  • Release : 1981
  • Pages : 466
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Paperbacks in Print

Paperbacks in Print
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1975
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Official National Simmental Sire Summary

Official National Simmental Sire Summary
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1976
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Contemporary Studies of Migration

Contemporary Studies of Migration
Proceedings of the Second British-Dutch Symposium on Population Geography, Soesterberg, The Netherlands, 14-16 September 1983

by G. A. van der Knaap,Paul E. White

  • Publisher : Geo
  • Release : 1985
  • Pages : 184
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Circular

Circular
A Book

by State University College at Cortland

  • Publisher : Unknown Publisher
  • Release : 1968
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Contemporary Nuclear Shell Models

Contemporary Nuclear Shell Models
Proceedings of an International Workshop Held in Philadelphia, PA, USA, 29–30 April 1996

by Xing-Wang Pan,Da Hsuan Feng

  • Publisher : Springer
  • Release : 1997-02-20
  • Pages : 309
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This volume reports recent development in nuclear structure physics and closely related topics. Particularly, it centers on new methodologies and recent applications of the nuclear shell model such as quantum Monte Carlo methods, large-scale shell model calculations and microscopic theories of effective interactions. Each review focuses on one fundamental topic closely related to the nuclear shell model. Each topic is covered in sufficient depth and detail to be accessible to a wide audience including nuclear engineers and astrophysicists and those working in various fields of scientific computing and modelling.

Studies on Developing Countries

Studies on Developing Countries
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1973
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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