Ill-Posed Problems: Theory and Applications, A. Bakushinsky; A. Goncharsky
Автор: A. Bakushinsky; A. Goncharsky Название: Ill-Posed Problems: Theory and Applications ISBN: 0792330730 ISBN-13(EAN): 9780792330738 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents a unified approach to the solution of ill-posed problems. This text explores this idea in the discussion of topics such as common conditions for the existence of regularizing algorithms, necessary and sufficient conditions of the approximations for linear problems, and the principle of iterative regularization for nonlinear problems.
Автор: Hansen Название: Rank-Deficient and Discrete Ill-Posed Problems ISBN: 0898714036 ISBN-13(EAN): 9780898714036 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and the efficiency and reliability of the computations.
Автор: S.F. Gilyazov; N.L. Gol`dman Название: Regularization of Ill-Posed Problems by Iteration Methods ISBN: 0792361318 ISBN-13(EAN): 9780792361312 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.
Автор: Michel Thera; Rainer Tichatschke Название: Ill-posed Variational Problems and Regularization Techniques ISBN: 3540663231 ISBN-13(EAN): 9783540663232 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.
Автор: Yakov Alber; Irina Ryazantseva Название: Nonlinear Ill-posed Problems of Monotone Type ISBN: 9048171229 ISBN-13(EAN): 9789048171224 Издательство: Springer Рейтинг: Цена: 88510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS.- REGULARIZATION OF OPERATOR EQUATIONS.- PARAMETERIZATION OF REGULARIZATION METHODS.- REGULARIZATION OF VARIATIONAL INEQUALITIES.- APPLICATIONS OF THE REGULARIZATION METHODS.- SPECIAL TOPICS ON REGULARIZATION METHODS.
Автор: S.F. Gilyazov; N.L. Gol`dman Название: Regularization of Ill-Posed Problems by Iteration Methods ISBN: 9048153824 ISBN-13(EAN): 9789048153824 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.
Автор: A.N. Tikhonov; A. Goncharsky; V.V. Stepanov; Anato Название: Numerical Methods for the Solution of Ill-Posed Problems ISBN: 904814583X ISBN-13(EAN): 9789048145836 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Prof. Dr. G. H?mmerlin; Prof. Dr. K.-H. Hoffmann Название: Improperly Posed Problems and Their Numerical Treatment ISBN: 3034854625 ISBN-13(EAN): 9783034854627 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Roberto Lucchetti; Julian Revalski Название: Recent Developments in Well-Posed Variational Problems ISBN: 0792335767 ISBN-13(EAN): 9780792335764 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The increasing complexity of mathematical models, and the related need to introduce simplifying assumptions and numerical approximations, has led to the need to consider approximate solutions. This book is intended for researchers and graduate students studying variational problems, nonlinear analysis, optimization, and game theory.
Автор: Roberto Lucchetti Название: Convexity and Well-Posed Problems ISBN: 1441921117 ISBN-13(EAN): 9781441921116 Издательство: Springer Рейтинг: Цена: 62380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Except for trivial cases, the minimum value must be taken at a point where the function is not +?, hence at a point in the constraint set.
Автор: Roberto Lucchetti; Julian Revalski Название: Recent Developments in Well-Posed Variational Problems ISBN: 9048145783 ISBN-13(EAN): 9789048145782 Издательство: Springer Рейтинг: Цена: 153690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector optimization, game theory and calculus of variations. These concepts are of particular interest in many fields of mathematics. The idea of stability goes back at least to J. Hadamard who introduced it in the setting of differential equations; the concept of well-posedness for minimum problems is more recent (the mid-sixties) and originates with A.N. Tykhonov. It turns out that there are connections between the two properties in the sense that a well-posed problem which, at least in principle, is "easy to solve", has a solution set that does not vary too much under perturbation of the data of the problem, i.e. it is "stable". These themes have been studied in depth for minimum problems and now we have a general picture of the related phenomena in this case. But, of course, the same concepts can be studied in other more complicated situations as, e.g. vector optimization, game theory and variational inequalities. Let us mention that in several of these new areas there is not even a unique idea of what should be called approximate solution, and the latter is at the basis of the definition of well- posed problem.
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