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A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods
  • Author : A. Alberto Magrenan
  • Publsiher : Academic Press
  • Release : 13 February 2018
  • ISBN : 0128094931
  • Pages : 400 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKA Contemporary Study of Iterative Methods

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 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


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

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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

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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

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The Theory and Applications of Iteration Methods

The Theory and Applications of Iteration Methods
  • Author : Ioannis K. Argyros
  • Publisher : CRC Press
  • Release : 21 January 2022
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

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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

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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

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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

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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 : 04 December 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.

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Contemporary Research Topics in Nuclear Physics

Contemporary Research Topics in Nuclear Physics
  • Author : Da-Hsuan Feng
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKContemporary Research Topics in Nuclear Physics

This volume contains the proceedings of a workshop held at Drexel University from September 1 to September 3, 1980, under the joint auspices of Drexel University, The University of Tennessee and Vanderbilt University. The workshop dealt with subjects of topical importance to the nuclear physics community: high spin phenomena, heavy ion reactions, transfer reactions, microscopic theories of nuclear structure and the interacting boson model, and miscellaneous topics. This pro ceedings contains all of the invited papers plus short manuscripts expanding on the materials

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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 : 15 February 2005
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

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Contemporary Research in Engineering Science

Contemporary Research in Engineering Science
  • Author : Romesh C. Batra
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKContemporary Research in Engineering Science

Fatigue failures occur in aerospace,marine,nuclear structures and automobile com ponents from initiation and propagation of cracks from holes,scratches or defects in the material. To design against these failures, crack propagation life and fracture strength need to be accurately predicted. It is reported in the literature, that these failures often initiate as surface cracks, corner cracks and cracks emanating from fastner holes. Such cracks are with elliptic or nearly elliptic in shapes. The deviation from elliptic shape is

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Computational Theory of Iterative Methods

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

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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.

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The Text of the New Testament in Contemporary Research

The Text of the New Testament in Contemporary Research
  • Author : Bart D. Ehrman,Michael W. Holmes
  • Publisher : BRILL
  • Release : 09 November 2012
GET THIS BOOKThe Text of the New Testament in Contemporary Research

The Text of the New Testament in Contemporary Research provides up-to-date discussions of every major aspect of New Testament textual criticism. Written by internationally acknowledged experts, the twenty-four essays evaluate all significant advances in the field since the 1950s.

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