# A Contemporary Study of Iterative Methods

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- Author : A. Alberto Magrenan
- Publisher : Academic Press
- Release : 13 February 2018
- ISBN : 9780128094938
- Page : 400 pages
- Rating : 4.5/5 from 103 voters

## Download A Contemporary Study of Iterative Methods in PDF, Epub and Kindle

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

- Author : A. Alberto Magrenan,Ioannis Argyros
- Publisher : Academic Press
- Release Date : 2018-02-13
- ISBN : 9780128094938

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

### A Contemporary Study of Iterative Methods

- Author : A. Alberto Magrenan,Ioannis Argyros
- Publisher : Academic Press
- Release Date : 2018-02-16
- ISBN : 0128092149

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

- Author : Ioannis Konstantinos Argyros,Angel Alberto Magreñán
- Publisher : CRC Press
- Release Date : 2017-07-12
- ISBN : 9781351649506

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

- Author : Juan R. Torregrosa,Alicia Cordero,Fazlollah Soleymani
- Publisher : MDPI
- Release Date : 2019-12-06
- ISBN : 9783039219407

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

- Author : Ioannis Konstantinos Argyros,Angel Alberto Magreñán
- Publisher : CRC Press
- Release Date : 2017-07-12
- ISBN : 9781498763622

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

### The Theory and Applications of Iteration Methods

- Author : Ioannis K. Argyros
- Publisher : CRC Press
- Release Date : 2022-01-21
- ISBN : 9781000536775

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

- Author : Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar
- Publisher : CRC Press
- Release Date : 2021-07-29
- ISBN : 9781000381085

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

- Author : Ioannis Argyros
- Publisher : MDPI
- Release Date : 2019-10-21
- ISBN : 9783039216666

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

### 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

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

### Iterative Methods for Sparse Linear Systems

- Author : Yousef Saad
- Publisher : SIAM
- Release Date : 2003-04-01
- ISBN : 9780898715347

Mathematics of Computing -- General.

### Newton Methods

- Author : Ioannis K. Argyros
- Publisher : Nova Publishers
- Release Date : 2005
- ISBN : 1594540527

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

### Optimized Iterative Methods with Applications in Diverse Disciplines

- Author : Samundra Regmi
- Publisher : Nova Science Publishers
- Release Date : 2021-04-21
- ISBN : 1536195081

"Numerous problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space, Hilbert space, Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use iterative algorithms, which seem to be the only alternative. Due to the explosion of technology, faster and faster computers become available.

### MATHEMATICAL MODELING FOR THE SOLUTION OF EQUATIONS AND SYSTEMS OF EQUATIONS WITH APPLICATIONS;.

- Author : IOANNIS K. ARGYROS
- Publisher : Unknown
- Release Date : 2018
- ISBN : 1536133094

### 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

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.

### Numerical Methods in Matrix Computations

- Author : Åke Björck
- Publisher : Springer
- Release Date : 2014-10-07
- ISBN : 9783319050898

Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and