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Methods For Solution Of Nonlinear Operator Equations
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Book Synopsis Methods for Solution of Nonlinear Operator Equations by : V. P. Tanana
Download or read book Methods for Solution of Nonlinear Operator Equations written by V. P. Tanana and published by Walter de Gruyter. This book was released on 2013-02-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis Dynamical Systems Method for Solving Nonlinear Operator Equations by : Alexander G. Ramm
Download or read book Dynamical Systems Method for Solving Nonlinear Operator Equations written by Alexander G. Ramm and published by Elsevier. This book was released on 2006-09-25 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Methods for Solving Operator Equations by : V. P. Tanana
Download or read book Methods for Solving Operator Equations written by V. P. Tanana and published by Walter de Gruyter. This book was released on 2012-02-13 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis The Numerical Solution of Nonlinear Operator Equations by Imbedding Methods by : P. C. den Heijer
Download or read book The Numerical Solution of Nonlinear Operator Equations by Imbedding Methods written by P. C. den Heijer and published by . This book was released on 1979 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximate Solution of Operator Equations by : M.A. Krasnosel'skii
Download or read book Approximate Solution of Operator Equations written by M.A. Krasnosel'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new computation schemes in problems of linear algebra, differential and integral equations, nonlinear analysis, and so on. The general theory of approximate methods includes many known fundamental results. We refer to the classical work of Kantorovich; the investigations of projection methods by Bogolyubov, Krylov, Keldysh and Petrov, much furthered by Mikhlin and Pol'skii; Tikho nov's methods for approximate solution of ill-posed problems; the general theory of difference schemes; and so on. During the past decade, the Voronezh seminar on functional analysis has systematically discussed various questions related to numerical methods; several advanced courses have been held at Voronezh Uni versity on the application of functional analysis to numerical mathe matics. Some of this research is summarized in the present monograph. The authors' aim has not been to give an exhaustive account, even of the principal known results. The book consists of five chapters.
Book Synopsis Computational Solution of Nonlinear Operator Equations by : Louis B. Rall
Download or read book Computational Solution of Nonlinear Operator Equations written by Louis B. Rall and published by . This book was released on 1979 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 and published by MDPI. This book was released on 2019-12-06 with total page 494 pages. 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.
Book Synopsis Linear Operator Equations: Approximation And Regularization by : M Thamban Nair
Download or read book Linear Operator Equations: Approximation And Regularization written by M Thamban Nair and published by World Scientific. This book was released on 2009-05-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be.This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Book Synopsis Nonlinear Stochastic Operator Equations by : George Adomian
Download or read book Nonlinear Stochastic Operator Equations written by George Adomian and published by Academic Press. This book was released on 2014-05-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology, medicine. This text discusses operator equations and the decomposition method. This book also explains the limitations, restrictions and assumptions made in differential equations involving stochastic process coefficients (the stochastic operator case), which yield results very different from the needs of the actual physical problem. Real-world application of mathematics to actual physical problems, requires making a reasonable model that is both realistic and solvable. The decomposition approach or model is an approximation method to solve a wide range of problems. This book explains an inherent feature of real systems—known as nonlinear behavior—that occurs frequently in nuclear reactors, in physiological systems, or in cellular growth. This text also discusses stochastic operator equations with linear boundary conditions. This book is intended for students with a mathematics background, particularly senior undergraduate and graduate students of advanced mathematics, of the physical or engineering sciences.
Book Synopsis Solution of Nonlinear Operator Equations Via Iterative and Continuation Methods by : Gordon Whitnall
Download or read book Solution of Nonlinear Operator Equations Via Iterative and Continuation Methods written by Gordon Whitnall and published by . This book was released on 1971 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Solutions of Operator Equations and Extreme Elements by : D.A. Klyushin
Download or read book Generalized Solutions of Operator Equations and Extreme Elements written by D.A. Klyushin and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Solution of Nonlinear Operator Equations by A-stable Integration Techniques by : Paul Thomas Boggs
Download or read book The Solution of Nonlinear Operator Equations by A-stable Integration Techniques written by Paul Thomas Boggs and published by . This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Operator Equations by : M. Thamban Nair
Download or read book Linear Operator Equations written by M. Thamban Nair and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Book Synopsis Projection-iterative Methods for Solution of Operator Equations by : Nikolaĭ Stepanovich Kurpelʹ
Download or read book Projection-iterative Methods for Solution of Operator Equations written by Nikolaĭ Stepanovich Kurpelʹ and published by American Mathematical Soc.. This book was released on 1976 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Numerical Solution of Nonlinear Operator Equations by Imbedding Methods by : den Heijer (C.)
Download or read book The Numerical Solution of Nonlinear Operator Equations by Imbedding Methods written by den Heijer (C.) and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Methods for Nonlinear Operator Equations in Banach Spaces by : Shih-sen Chang
Download or read book Iterative Methods for Nonlinear Operator Equations in Banach Spaces written by Shih-sen Chang and published by Nova Science Publishers. This book was released on 2002 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Banach's fixed point theorem was proved by Banach in 1922, many authors have used this theorem to show the existence and uniqueness of solutions for differential and integral equations, a system of simultaneous linear algebraic equations by methods of successive approximations, etc., and have extended, generalised and improved this theorem in several ways. The purpose of this book is to give a comprehensive introduction to the study of iterative approximation methods for solutions of nonlinear equations involving some kinds of nonlinear mappings and multi-valued mappings in Banach spaces and normed linear spaces by the Mann and Ishikawa iterative sequences (with errors and mixed errors) and the generalised steepest descent approximations.
Book Synopsis The Mumerical Solution of Nonlinear Operator Equations by Imbedding Methods by :
Download or read book The Mumerical Solution of Nonlinear Operator Equations by Imbedding Methods written by and published by . This book was released on 1979 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
