A Unified Approach for Solving Nonlinear Operator Equations and Applications PDF Download
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Author: Ioannis K. Argyros
Publisher:
ISBN:
Category : Operator equations, Nonlinear
Languages : en
Pages : 56
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Book Description
Author: Ioannis K. Argyros
Publisher:
ISBN:
Category : Operator equations, Nonlinear
Languages : en
Pages : 56
Get Book Here
Book Description
Author: Ioannis K. Argyros
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
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Book Description
Author: Mieczyslav Aliman
Publisher:
ISBN: 9780598038777
Category :
Languages : en
Pages : 312
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Book Description
Author: Alexander G. Ramm
Publisher: Elsevier
ISBN: 0080465560
Category : Mathematics
Languages : en
Pages : 305
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Book Description
Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author. Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed Self-contained, suitable for wide audience Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)
Author: D.A. Klyushin
Publisher: Springer Science & Business Media
ISBN: 1461406196
Category : Mathematics
Languages : en
Pages : 219
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Book Description
Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.
Author: Mieczyslaw Altman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 320
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Book Description
Author: George Anastassiou
Publisher: CRC Press
ISBN: 0429525117
Category : Mathematics
Languages : en
Pages : 413
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Book Description
Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f
Author: Ioannis K. Argyros
Publisher: CRC Press
ISBN: 1466517115
Category : Mathematics
Languages : en
Pages : 474
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Book Description
This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter co
Author: Ioannis K Argyros
Publisher: World Scientific Publishing Company
ISBN: 9813106549
Category : Mathematics
Languages : en
Pages : 527
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Book Description
Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences. This book focuses on a new and improved local-semilocal and monotone convergence analysis of efficient numerical methods for computing approximate solutions of such equations, under weaker hypotheses than in other works. This particular feature is the main strength of the book when compared with others already in the literature.The explanations and applications in the book are detailed enough to capture the interest of curious readers and complete enough to provide the necessary background material to go further into the subject.
Author: Juan R. Torregrosa
Publisher: MDPI
ISBN: 3039219405
Category : Mathematics
Languages : en
Pages : 494
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Book Description
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.
