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Convergence and Applications of Newton-type Iterations

2008-06-12 Mathematics
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Release : 2008-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 434/5 ( reviews)

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Book Synopsis Convergence and Applications of Newton-type Iterations by : Ioannis K. Argyros

Download or read book Convergence and Applications of Newton-type Iterations written by Ioannis K. Argyros. This book was released on 2008-06-12. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.

New Developments of Newton-Type Iterations for Solving Nonlinear Problems

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Kind : eBook
Book Rating : 61X/5 ( reviews)

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Book Synopsis New Developments of Newton-Type Iterations for Solving Nonlinear Problems by : Tugal Zhanlav

Download or read book New Developments of Newton-Type Iterations for Solving Nonlinear Problems written by Tugal Zhanlav. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

New Developments of Newton-Type Iterations for Solving Nonlinear Problems

2024-08-19 Mathematics
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Release : 2024-08-19
Genre : Mathematics
Kind : eBook
Book Rating : 607/5 ( reviews)

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Book Synopsis New Developments of Newton-Type Iterations for Solving Nonlinear Problems by : Tugal Zhanlav

Download or read book New Developments of Newton-Type Iterations for Solving Nonlinear Problems written by Tugal Zhanlav. This book was released on 2024-08-19. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for systems of nonlinear equations and their applications in linear algebra. Emphasizing the pivotal role of iteration parameters in shaping convergence and expanding the domain, the authors draw from their extensive collaborative research to systematically compile and elucidate these findings. Catering to readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, this book serves as a valuable resource, synthesizing decades of research to advance understanding and practical application in the field.

The Theory and Applications of Iteration Methods

2022-01-20 Mathematics
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Release : 2022-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 750/5 ( reviews)

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Book Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros

Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros. This book was released on 2022-01-20. Available in PDF, EPUB and Kindle. Book excerpt: 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 well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.

Iterative Methods for Solving Nonlinear Equations and Systems

2019-12-06 Mathematics
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Release : 2019-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 405/5 ( reviews)

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Book Synopsis Iterative Methods for Solving Nonlinear Equations and Systems by : Juan R. Torregrosa

Download or read book Iterative Methods for Solving Nonlinear Equations and Systems written by Juan R. Torregrosa. This book was released on 2019-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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