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 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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  • Author : A. Alberto Magrenan
  • Publisher : Academic Press
  • Pages : 400 pages
  • ISBN : 0128094931
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKA Contemporary Study of Iterative Methods

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 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 : 12 July 2017
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 K. Argyros,Angel Alberto Magrenan
  • Publisher : CRC Press
  • Release : 13 February 2017
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 : 06 December 2019
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

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 : 29 July 2021
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

Symmetry with Operator Theory and Equations

Symmetry with Operator Theory and Equations
  • Author : Ioannis Argyros
  • Publisher : MDPI
  • Release : 21 October 2019
GET THIS BOOKSymmetry with Operator Theory and Equations

A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered

Computational Sciences - Modelling, Computing and Soft Computing

Computational Sciences - Modelling, Computing and Soft Computing
  • Author : Ashish Awasthi,Sunil Jacob John,Satyananda Panda
  • Publisher : Springer Nature
  • Release : 28 November 2021
GET THIS BOOKComputational Sciences - Modelling, Computing and Soft Computing

This book constitutes revised and selected papers of the First International Conference on Computational Sciences - Modelling, Computing and Soft Computing, held in Kozhikode, Kerala, India, in September 2020. The 15 full papers and 6 short papers presented were thoroughly revised and selected from the 150 submissions. They are organized in the topical secions on computing; soft computing; general computing; modelling.

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 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

Finite-Dimensional Variational Inequalities and Complementarity Problems

Finite-Dimensional Variational Inequalities and Complementarity Problems
  • Author : Francisco Facchinei,Jong-Shi Pang
  • Publisher : Springer Science & Business Media
  • Release : 14 June 2007
GET THIS BOOKFinite-Dimensional Variational Inequalities and Complementarity Problems

This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Point Estimation of Root Finding Methods

Point Estimation of Root Finding Methods
  • Author : Miodrag Petkovic
  • Publisher : Springer
  • Release : 29 May 2008
GET THIS BOOKPoint Estimation of Root Finding Methods

The problem of solving nonlinear equations and systems of equations ranks among the most signi?cant in the theory and practice, not only of applied mathematicsbutalsoofmanybranchesofengineeringsciences,physics,c- puter science, astronomy, ?nance, and so on. A glance at the bibliography and the list of great mathematicians who have worked on this topic points to a high level of contemporary interest. Although the rapid development of digital computers led to the e?ective implementation of many numerical methods, in practical realization,

Krylov Methods for Nonsymmetric Linear Systems

Krylov Methods for Nonsymmetric Linear Systems
  • Author : Gérard Meurant,Jurjen Duintjer Tebbens
  • Publisher : Springer Nature
  • Release : 02 October 2020
GET THIS BOOKKrylov Methods for Nonsymmetric Linear Systems

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 disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large

Iterative Methods for the Solution of Equations

Iterative Methods for the Solution of Equations
  • Author : J. F. Traub
  • Publisher : American Mathematical Soc.
  • Release : 28 November 1982
GET THIS BOOKIterative Methods for the Solution of Equations

From the Preface (1964): ``This book presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. The relationship between the quantity and the quality of information used by an algorithm and the efficiency of the algorithm is investigated. Iteration functions are divided into four classes depending on whether they use new information at one or at several points and whether or not they reuse old information. Known iteration functions are systematized and new classes