Nonlinear Ill Posed Problems Of Monotone Type

Author : Yakov Alber,Irina Ryazantseva
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 52,6 Mb
Release : 2006-02-23
Category : Mathematics
ISBN : 9781402043963

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Nonlinear Ill-posed Problems of Monotone Type by Yakov Alber,Irina Ryazantseva Pdf

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Author : Barbara Kaltenbacher,Andreas Neubauer,Otmar Scherzer
Publisher : Walter de Gruyter
Page : 205 pages
File Size : 49,5 Mb
Release : 2008-09-25
Category : Mathematics
ISBN : 9783110208276

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Iterative Regularization Methods for Nonlinear Ill-Posed Problems by Barbara Kaltenbacher,Andreas Neubauer,Otmar Scherzer Pdf

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.

Author : Athanass Kartsatos
Publisher : CRC Press
Page : 338 pages
File Size : 51,8 Mb
Release : 1996-03-14
Category : Mathematics
ISBN : 0824797213

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Theory and Applications of Nonlinear Operators of Accretive and Monotone Type by Athanass Kartsatos Pdf

This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

Author : Anatoly B. Bakushinsky,Mikhail M. Kokurin,Mikhail Yu. Kokurin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 342 pages
File Size : 49,6 Mb
Release : 2018-02-05
Category : Mathematics
ISBN : 9783110556384

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Regularization Algorithms for Ill-Posed Problems by Anatoly B. Bakushinsky,Mikhail M. Kokurin,Mikhail Yu. Kokurin Pdf

This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. Contents Introduction Regularization Methods For Linear Equations Finite Difference Methods Iterative Regularization Methods Finite-Dimensional Iterative Processes Variational Inequalities and Optimization Problems

Author : Anatoly B. Bakushinsky,Александра Борисовна Смирнова
Publisher : Walter de Gruyter
Page : 153 pages
File Size : 42,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9783110250640

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Iterative Methods for Ill-posed Problems by Anatoly B. Bakushinsky,Александра Борисовна Смирнова Pdf

Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions. Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces.

Author : A.N. Tikhonov
Publisher : Springer
Page : 386 pages
File Size : 52,8 Mb
Release : 1997-12-15
Category : Mathematics
ISBN : 9401751676

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Nonlinear Ill-Posed Problems by A.N. Tikhonov Pdf

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 47,7 Mb
Release : 2005-12-19
Category : Technology & Engineering
ISBN : 9780387232188

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Inverse Problems by Alexander G. Ramm Pdf

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Author : Andreĭ Nikolaevich Tikhonov,A. S. Leonov,Anatoliĭ Grigorʹevich I͡Agola
Publisher : Unknown
Page : 184 pages
File Size : 41,5 Mb
Release : 1998
Category : Differential equations, Nonlinear
ISBN : CORNELL:31924083943195

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Nonlinear Ill-posed Problems by Andreĭ Nikolaevich Tikhonov,A. S. Leonov,Anatoliĭ Grigorʹevich I͡Agola Pdf

Author : Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 499 pages
File Size : 53,7 Mb
Release : 2020-04-06
Category : Mathematics
ISBN : 9783110647389

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Variational Methods in Nonlinear Analysis by Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos Pdf

This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Author : Conference on Function Spaces
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 53,7 Mb
Release : 2007
Category : Function spaces
ISBN : 9780821840610

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Function Spaces by Conference on Function Spaces Pdf

This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.

Author : Nicholas N. Olenev,Yuri G. Evtushenko,Milojica Jaćimović,Michael Khachay,Vlasta Malkova
Publisher : Springer Nature
Page : 291 pages
File Size : 51,8 Mb
Release : 2021-12-08
Category : Mathematics
ISBN : 9783030927110

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Advances in Optimization and Applications by Nicholas N. Olenev,Yuri G. Evtushenko,Milojica Jaćimović,Michael Khachay,Vlasta Malkova Pdf

This book constitutes the refereed proceedings of the 12th International Conference on Optimization and Applications, OPTIMA 2021, held in Petrovac, Montenegro, in September - October 2021. Due to the COVID-19 pandemic the conference was partially held online. The 19 revised full papers presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on ​​mathematical programming; global optimization; stochastic optimization; optimal control; mathematical economics; optimization in data analysis; applications.

Author : Serhiy Shkarlet,Anatoliy Morozov,Alexander Palagin,Dmitri Vinnikov,Nikolai Stoianov,Mark Zhelezniak,Volodymyr Kazymyr
Publisher : Springer Nature
Page : 341 pages
File Size : 49,8 Mb
Release : 2023-07-04
Category : Technology & Engineering
ISBN : 9783031302510

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Mathematical Modeling and Simulation of Systems by Serhiy Shkarlet,Anatoliy Morozov,Alexander Palagin,Dmitri Vinnikov,Nikolai Stoianov,Mark Zhelezniak,Volodymyr Kazymyr Pdf

Modern complex multi-domain systems require increased efficiency, reliability, and availability combined with reduced cost. This book contains papers on mathematical modeling and simulation of processes in various areas: ecology and the environment, production and energy, information technology, samples of special-purpose equipment, and cyber-physical systems. The outcomes presented in the book are useful to specialists involved in the modeling and simulation of real-world system, management and decision-making models, production models, and software products. Scientists have the opportunity to familiarize themselves with the latest research in a variety of solutions proposed by leading scientists and to determine promising directions for solving complex scientific and practical tasks. Chapters of this book contain papers presented at the 17th MODS International Conference, November 14–16, 2022, Chernihiv, Ukraine.

Author : Simeon Reich,Alexander J. Zaslavski
Publisher : American Mathematical Soc.
Page : 296 pages
File Size : 52,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869086

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Optimization Theory and Related Topics by Simeon Reich,Alexander J. Zaslavski Pdf

This volume contains the proceedings of the workshop on Optimization Theory and Related Topics, held in memory of Dan Butnariu, from January 11-14, 2010, in Haifa, Israel. An active researcher in various fields of applied mathematics, Butnariu published over 80 papers. His extensive bibliography is included in this volume. The articles in this volume cover many different areas of Optimization Theory and its applications: maximal monotone operators, sensitivity estimates via Lyapunov functions, inverse Newton transforms, infinite-horizon Pontryagin principles, singular optimal control problems with state delays, descent methods for mixed variational inequalities, games on MV-algebras, ergodic convergence in subgradient optimization, applications to economics and technology planning, the exact penalty property in constrained optimization, nonsmooth inverse problems, Bregman distances, retraction methods in Banach spaces, and iterative methods for solving equilibrium problems. This volume will be of interest to both graduate students and research mathematicians.

Author : G. Isac,V.A. Bulavsky,Vyacheslav V. Kalashnikov
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 47,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475736236

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Complementarity, Equilibrium, Efficiency and Economics by G. Isac,V.A. Bulavsky,Vyacheslav V. Kalashnikov Pdf

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

Author : Michael Patriksson
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 52,7 Mb
Release : 1999
Category : Business & Economics
ISBN : 0792354559

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Nonlinear Programming and Variational Inequality Problems by Michael Patriksson Pdf

The framework of algorithms presented in this book is called Cost Approximation. It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the updating of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of the book is to offer this framework as an intuitively appealing tool for describing an algorithm. Another purpose is to provide a convergence analysis of the algorithms in the framework. Audience: The book will be of interest to all researchers in the field (it includes over 800 references) and can also be used for advanced courses in non-linear optimization with the possibility of being oriented either to algorithm theory or to the numerical aspects of large-scale nonlinear optimization.