A Contemporary Study of Iterative Methods

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Read or download book entitled A Contemporary Study of Iterative Methods written by A. Alberto Magrenan and published by Academic Press in PDF, EPUB and Kindle Format. Click Get This Book button to download or read online books. Join over 650.000 happy Readers and READ as many books as you like. We cannot guarantee that A Contemporary Study of Iterative Methods book is available in the library.

  • Publisher : Academic Press
  • Release : 13 February 2018
  • ISBN : 9780128094938
  • Page : 400 pages
  • Rating : 4.5/5 from 103 voters

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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

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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
  • ISBN : 9780128094938
GET THIS BOOKA 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

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
  • ISBN : 9781498763622
GET THIS BOOKIterative 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

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
  • ISBN : 9781351649506
GET THIS BOOKIterative 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

Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems
  • Author : Juan R. Torregrosa,Alicia Cordero,Fazlollah Soleymani
  • Publisher : MDPI
  • Release Date : 2019-12-06
  • ISBN : 9783039219407
GET THIS BOOKIterative Methods for Solving Nonlinear Equations and Systems

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

Iterative Methods and Their Dynamics with Applications

Iterative Methods and Their Dynamics with Applications
  • Author : Ioannis K. Argyros,Angel Alberto Magreñán
  • Publisher : CRC Press
  • Release Date : 2021-03-31
  • ISBN : 0367782294
GET THIS BOOKIterative Methods and Their Dynamics with Applications

In this book you can find theory and applications of classical and new iterative root-finding algorithms and families of iterative methods. Some recently discovered graphical tools are presented, studied, and used in order to find the best methods in convergence terms. Moreover, the differences between real and complex behaviors are presented. F

The Theory and Applications of Iteration Methods

The Theory and Applications of Iteration Methods
  • Author : Ioannis K. Argyros
  • Publisher : CRC Press
  • Release Date : 2022-01-21
  • ISBN : 9781000536775
GET THIS BOOKThe Theory and Applications of Iteration Methods

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

Advanced Numerical Methods for Differential Equations

Advanced Numerical Methods for Differential Equations
  • Author : Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar
  • Publisher : CRC Press
  • Release Date : 2021-07-29
  • ISBN : 9781000381085
GET THIS BOOKAdvanced Numerical Methods for Differential Equations

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and

Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems
  • Author : Yousef Saad
  • Publisher : SIAM
  • Release Date : 2003-04-01
  • ISBN : 9780898715347
GET THIS BOOKIterative Methods for Sparse Linear Systems

Mathematics of Computing -- General.

Newton Methods

Newton Methods
  • Author : Ioannis K. Argyros
  • Publisher : Nova Publishers
  • Release Date : 2005
  • ISBN : 1594540527
GET THIS BOOKNewton Methods

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 to specific real life problems originated from astrophysics, engineering, mathematical economics and other applied areas. What distinguishes this book from others is the fact that the weak convergence conditions inaugurated

Iterative Methods for Approximate Solution of Inverse Problems

Iterative Methods for Approximate Solution of Inverse Problems
  • Author : A.B. Bakushinsky,M.Yu. Kokurin
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-09-28
  • ISBN : 9781402031229
GET THIS BOOKIterative Methods for Approximate Solution of Inverse Problems

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

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations
  • Author : Peter Knabner,Lutz Angerman
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-05-26
  • ISBN : 9780387217628
GET THIS BOOKNumerical Methods for Elliptic and Parabolic Partial Differential Equations

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Iterative Methods for Large Linear Systems

Iterative Methods for Large Linear Systems
  • Author : David R. Kincaid,Linda J. Hayes
  • Publisher : Academic Press
  • Release Date : 2014-05-10
  • ISBN : 9781483260204
GET THIS BOOKIterative Methods for Large Linear Systems

Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. This book provides an overview of the use of iterative methods for solving sparse linear systems, identifying future research directions in the mainstream of modern scientific computing with an eye to contributions of the past, present, and future. Different

Applied Iterative Methods

Applied Iterative Methods
  • Author : Louis A. Hageman
  • Publisher : Elsevier
  • Release Date : 2016-09-01
  • ISBN : 9781483294377
GET THIS BOOKApplied Iterative Methods

Applied Iterative Methods

Iterative Methods for Linear Systems

Iterative Methods for Linear Systems
  • Author : Maxim A. Olshanskii,Eugene E. Tyrtyshnikov
  • Publisher : SIAM
  • Release Date : 2014-07-21
  • ISBN : 9781611973464
GET THIS BOOKIterative 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.÷÷

Applied Iterative Methods

Applied Iterative Methods
  • Author : CHARLES L. BYRNE
  • Publisher : A K PETERS
  • Release Date : 2021-09-30
  • ISBN : 0367446162
GET THIS BOOKApplied Iterative Methods

This book is a collection of essays on iterative algorithms and their uses. It focuses on the mathematics of medical image reconstruction, with emphasis on Fourier inversion. The book discusses the problems and algorithms in the context of operators on finite-dimensional Euclidean space.