Download or read book Parametric Optimization and Ill posed Problems in Mathematical Optimization written by Ivan I. Eremin and published by . This book was released on 1986 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parametric optimization and ill posed problems in mathematical optimization parametric problems written by I. I. Eremin and published by . This book was released on 1986 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parametric Optimization written by Jürgen Guddat and published by . This book was released on 1990-12-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores optimization problems in which some or all of the individual data involved depends on one parameter. Beginning with a preliminary survey of solution algorithms in one-parametric optimization, the text moves on to examine the pathfollowing curves of local minimizers, pathfollowing along a connected component in the Karush-Kuhn-Tucker set and in the critical set, pathfollowing in the set of local minimizers and in the set of critical points. In addition, practical applications are included.
Download or read book Regularization Algorithms for Ill Posed Problems written by Anatoly B. Bakushinsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-02-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Parametric Optimization and Related Topics III written by Jürgen Guddat and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1993 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the third conference on Parametric Optimization and Related Topics, held in Gustrow from 30 August until 5 September, 1991. Parametric optimization, as a part of mathematical programming, investigates the behaviour of solutions to optimization problems under data pertubations. This behaviour, like continuity and differentiability, plays a fundamental role for a series of further questions that are of interest from a practical as well as a theoretical point of view. Many relations to other disciplines of operations research, like stochastic programming, modelbuilding, numerical methods, multiobjective optimization and optimal control, originate from this behaviour. The presented articles (all refereed) are topical and original papers reflecting recent results to current directions of research in theory and applications."
Download or read book Non Linear Parametric Optimization written by B. Bank and published by Walter de Gruyter GmbH & Co KG. This book was released on 1982-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Non-Linear Parametric Optimization".
Download or read book Optimization and Regularization for Computational Inverse Problems and Applications written by Yanfei Wang and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.
Download or read book Parametric Integer Optimization written by Bernd Bank and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advancing Parametric Optimization written by Nathan Adelgren and published by Springer Nature. This book was released on 2021-01-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.The theory and methodology presented in this work allows one to solve both Linear Programs and convex Quadratic Programs containing parameters in any location within the problem data as well as multi-objective optimization problems with any number of convex quadratic or linear objectives and linear constraints. Applications of these classes of problems are extremely widespread, ranging from business and economics to chemical and environmental engineering. Prior to this work, no solution procedure existed for these general classes of problems except for the recently proposed algorithms
Download or read book Parametric Optimization and Related Topics written by Jürgen Guddat and published by . This book was released on 1987 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parametric Optimization and Related Topics V written by Jürgen Guddat and published by Peter Lang Pub Incorporated. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the fifth conference on Parametric Optimization and Related Topics, held in Tokyo, Japan, from October 6-10, 1997. Parametric optimization as a part of mathematical programming investigates the behaviour of solutions to optimization problems under data perturbations. Properties involved, such as continuity, differentiability, topological stability and structural stability play a fundamental role in a series of further questions that are of interest both from a practical and a theoretical point of view. Many connections with other disciplines of operations research, like stochastic programming, model-building, numerical methods and optimal control originate from these properties. The presented papers (all refereed) are topical and original studies reflecting recent results in current directions of research in theory and applications.
Download or read book Advances in Mathematical Optimization written by J. Guddat et al. and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimization written by Simon Serovajsky and published by CRC Press. This book was released on 2024-07-30 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization: 100 Examples is a book devoted to the analysis of scenarios for which the use of well-known optimization methods encounter certain difficulties. Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control. The study of the presented examples makes it possible to more effectively diagnose problems that arise in the practical solution of optimal control problems, and to find ways to overcome the difficulties that have arisen. Features Vast collection of examples Simple. accessible presentation Suitable as a research reference for anyone with an interest in optimization and optimal control theory, including mathematicians and engineers Examples differ in properties, i.e. each effect for each class of problems is illustrated by a unique example. Simon Serovajsky is a professor of mathematics at Al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of optimization and optimal control theory, mathematical physics, mathematical modelling, philosophy and history of mathematics as well as a long list of high-quality publications in learned journals.
Download or read book Parametric Optimization and Related Topics IV written by Jürgen Guddat and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the fourth conference on Parametric Optimization and Related Topics, held in Enschede, The Netherlands, from June 6-9, 1995. Parametric optimization, as a part of mathematical programming, investigates the behaviour of solutions to optimization problems under data perturbations. Properties involved, such as continuity, differentiability, topological stability and structural stability play a fundamental role in a series of further questions that are of interest both from a practical and a theoretical point of view. Many connections with other disciplines of operations research, like stochastic programming, model-building, numerical methods and optimal control, originate from these properties. The presented papers (all refereed) are topical and original studies reflecting recent results in current directions of research in theory and applications.
Download or read book Regularization for Applied Inverse and Ill Posed Problems written by and published by Springer-Verlag. This book was released on 2013-11-22 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Trends in Parameter Identification for Mathematical Models written by Bernd Hofmann and published by Birkhäuser. This book was released on 2018-02-13 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”. This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography , solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.
Download or read book Numerical Methods for the Solution of Ill Posed Problems written by A.N. Tikhonov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
