Methods For Solution Of Nonlinear Operator Equations

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Linear Operator Equations Approximation And Regularization

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Author : M Thamban Nair
language : en
Publisher: World Scientific
Release Date : 2009-05-05

Linear Operator Equations Approximation And Regularization written by M Thamban Nair and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-05 with Mathematics categories.

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.

Methods For Solution Of Nonlinear Operator Equations

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Author : Vitaliĭ Pavlovich Tanana
language : en
Publisher: VSP
Release Date : 1997

Methods For Solution Of Nonlinear Operator Equations written by Vitaliĭ Pavlovich Tanana and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

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.

Methods For Solution Of Nonlinear Operator Equations

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Author : V. P. Tanana
language : en
Publisher: Walter de Gruyter
Release Date : 2013-02-18

Methods For Solution Of Nonlinear Operator Equations written by V. P. Tanana and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-18 with Mathematics categories.

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.

Iterative Methods For Solving Nonlinear Equations And Systems

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Author : Juan R. Torregrosa
language : en
Publisher: MDPI
Release Date : 2019-12-06

Iterative Methods For Solving Nonlinear Equations And Systems written by Juan R. Torregrosa and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.

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.

Dynamical Systems Method For Solving Nonlinear Operator Equations

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Author : Alexander G. Ramm
language : en
Publisher: Elsevier
Release Date : 2006-09-25

Dynamical Systems Method For Solving Nonlinear Operator Equations written by Alexander G. Ramm and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-25 with Mathematics categories.

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)

Projection Iterative Methods For Solution Of Operator Equations

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Author : Nikolaĭ Stepanovich Kurpelʹ
language : en
Publisher: American Mathematical Soc.
Release Date : 1976

Projection Iterative Methods For Solution Of Operator Equations written by Nikolaĭ Stepanovich Kurpelʹ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.

Methods For Solving Operator Equations

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Author : V. P. Tanana
language : en
Publisher: Walter de Gruyter
Release Date : 2012-02-13

Methods For Solving Operator Equations written by V. P. Tanana and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-13 with Mathematics categories.

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.

Methods In Nonlinear Integral Equations

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Author : R Precup
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Methods In Nonlinear Integral Equations written by R Precup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Methods For Solution Of Nonlinear Operator Equations

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Author : V. P. Tanana
language : en
Publisher:
Release Date :

Methods For Solution Of Nonlinear Operator Equations written by V. P. Tanana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Nonlinear Functional Analysis And Applications

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Author : Louis B. Rall
language : en
Publisher:
Release Date : 1971

Nonlinear Functional Analysis And Applications written by Louis B. Rall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

This volume contains the proceedings of an advanced seminar conducted by the Mathematics Research Center at the University of Wisconsin, Madison, held on October 12-14, 1970. This collection of papers is intended to give a reasonably self-contained introduction to the basic concepts and techniques of this field, highlighted by a few significant applications.