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Author : Vladimir Fedorovich Demʹi︠a︡nov
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (392 download)
Download or read book Nondifferentiable Optimization: Motivations and Applications written by Vladimir Fedorovich Demʹi︠a︡nov and published by . This book was released on 1984 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir F. Demyanov
Publisher : Springer Science & Business Media
ISBN 13 : 3662126036
Total Pages : 355 pages
Book Rating : 4.6/5 (621 download)
Download or read book Nondifferentiable Optimization: Motivations and Applications written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, has been involved in research on nondifferentiable optimization since 1976. IIASA-based East-West cooperation in this field has been very productive, leading to many important theoretical, algorithmic and applied results. Nondifferentiable optimi zation has now become a recognized and rapidly developing branch of mathematical programming. To continue this tradition, and to review recent developments in this field, IIASA held a Workshop on Nondifferentiable Optimization in Sopron (Hungary) in September 1964. The aims of the Workshop were: 1. To discuss the state-of-the-art of nondifferentiable optimization (NDO), its origins and motivation; 2. To compare-various algorithms; 3. To evaluate existing mathematical approaches, their applications and potential; 4. To extend and deepen industrial and other applications of NDO. The following topics were considered in separate sessions: General motivation for research in NDO: nondifferentiability in applied problems, nondifferentiable mathematical models. Numerical methods for solving nondifferentiable optimization problems, numerical experiments, comparisons and software. Nondifferentiable analysis: various generalizations of the concept of subdifferen tials. Industrial and other applications. This volume contains selected papers presented at the Workshop. It is divided into four sections, based on the above topics: I. Concepts in Nonsmooth Analysis II. Multicriteria Optimization and Control Theory III. Algorithms and Optimization Methods IV. Stochastic Programming and Applications We would like to thank the International Institute for Applied Systems Analysis, particularly Prof. V. Kaftanov and Prof. A.B. Kurzhanski, for their support in organiz ing this meeting.
Author : Vladimir Fedorovich Demʹi︠a︡nov
Publisher : Springer
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (4 download)
Download or read book Nondifferentiable Optimization written by Vladimir Fedorovich Demʹi︠a︡nov and published by Springer. This book was released on 1985 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Fedorovich Demyanov
Publisher :
ISBN 13 :
Total Pages : 349 pages
Book Rating : 4.:/5 (636 download)
Download or read book Nondifferentiable Optimization : Motivations and Applications written by Vladimir Fedorovich Demyanov and published by . This book was released on 1985 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cees Withagen
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (85 download)
Download or read book Nondifferentiable Optimization written by Cees Withagen and published by . This book was released on 1985 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Fedorovich Demʹi͡anov
Publisher :
ISBN 13 : 9780387159799
Total Pages : 349 pages
Book Rating : 4.1/5 (597 download)
Download or read book Nondifferentiable Optimization written by Vladimir Fedorovich Demʹi͡anov and published by . This book was released on 1985 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir F. Demyanov
Publisher : Springer
ISBN 13 : 9783540159797
Total Pages : 355 pages
Book Rating : 4.1/5 (597 download)
Download or read book Nondifferentiable Optimization: Motivations and Applications written by Vladimir F. Demyanov and published by Springer. This book was released on 1985-10-01 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, has been involved in research on nondifferentiable optimization since 1976. IIASA-based East-West cooperation in this field has been very productive, leading to many important theoretical, algorithmic and applied results. Nondifferentiable optimi zation has now become a recognized and rapidly developing branch of mathematical programming. To continue this tradition, and to review recent developments in this field, IIASA held a Workshop on Nondifferentiable Optimization in Sopron (Hungary) in September 1964. The aims of the Workshop were: 1. To discuss the state-of-the-art of nondifferentiable optimization (NDO), its origins and motivation; 2. To compare-various algorithms; 3. To evaluate existing mathematical approaches, their applications and potential; 4. To extend and deepen industrial and other applications of NDO. The following topics were considered in separate sessions: General motivation for research in NDO: nondifferentiability in applied problems, nondifferentiable mathematical models. Numerical methods for solving nondifferentiable optimization problems, numerical experiments, comparisons and software. Nondifferentiable analysis: various generalizations of the concept of subdifferen tials. Industrial and other applications. This volume contains selected papers presented at the Workshop. It is divided into four sections, based on the above topics: I. Concepts in Nonsmooth Analysis II. Multicriteria Optimization and Control Theory III. Algorithms and Optimization Methods IV. Stochastic Programming and Applications We would like to thank the International Institute for Applied Systems Analysis, particularly Prof. V. Kaftanov and Prof. A.B. Kurzhanski, for their support in organiz ing this meeting.
Author : V.F. Dem'yanov
Publisher : Springer
ISBN 13 : 9780387909516
Total Pages : 452 pages
Book Rating : 4.9/5 (95 download)
Download or read book Nondifferentiable Optimization written by V.F. Dem'yanov and published by Springer. This book was released on 1985-12-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Problems of minimizing nonsmooth functions arise in engineering applications as well as in mathematics proper. The Chebyshev approximation problem is an ample illustration of this. Without loss of generality, we shall consider only minimization problems. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]). Interest in NDO has been constantly growing in recent years (monographs: [30], [81], [127] and articles and papers: [14], [20], [87]-[89], [98], [130], [135], [140]-[142], [152], [153], [160], all dealing with various aspects of non smooth optimization). For solving an arbitrary minimization problem, it is neces sary to: 1. Study properties of the objective function, in particular, its differentiability and directional differentiability. 2. Establish necessary (and, if possible, sufficient) condi tions for a global or local minimum. 3. Find the direction of descent (steepest or, simply, feasible--in appropriate sense). 4. Construct methods of successive approximation. In this book, the minimization problems for nonsmooth func tions of a finite number of variables are considered. Of fun damental importance are necessary conditions for an extremum (for example, [24], [45], [57], [73], [74], [103], [159], [163], [167], [168].
Author : Vladimir Fedorovich Dem'yanov
Publisher :
ISBN 13 : 9785855011081
Total Pages : 452 pages
Book Rating : 4.0/5 (11 download)
Download or read book Nondifferentiable Optimization written by Vladimir Fedorovich Dem'yanov and published by . This book was released on 1997 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.F. Dem'yanov
Publisher : Springer
ISBN 13 : 9781461382683
Total Pages : 0 pages
Book Rating : 4.3/5 (826 download)
Download or read book Nondifferentiable Optimization written by V.F. Dem'yanov and published by Springer. This book was released on 2012-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Problems of minimizing nonsmooth functions arise in engineering applications as well as in mathematics proper. The Chebyshev approximation problem is an ample illustration of this. Without loss of generality, we shall consider only minimization problems. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]). Interest in NDO has been constantly growing in recent years (monographs: [30], [81], [127] and articles and papers: [14], [20], [87]-[89], [98], [130], [135], [140]-[142], [152], [153], [160], all dealing with various aspects of non smooth optimization). For solving an arbitrary minimization problem, it is neces sary to: 1. Study properties of the objective function, in particular, its differentiability and directional differentiability. 2. Establish necessary (and, if possible, sufficient) condi tions for a global or local minimum. 3. Find the direction of descent (steepest or, simply, feasible--in appropriate sense). 4. Construct methods of successive approximation. In this book, the minimization problems for nonsmooth func tions of a finite number of variables are considered. Of fun damental importance are necessary conditions for an extremum (for example, [24], [45], [57], [73], [74], [103], [159], [163], [167], [168].
Author : F.H. Clarke
Publisher : Springer Science & Business Media
ISBN 13 : 1475760191
Total Pages : 481 pages
Book Rating : 4.4/5 (757 download)
Download or read book Nonsmooth Optimization and Related Topics written by F.H. Clarke and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited texts of the lect. nres presented at the International School of Mathematics devoted to Nonsmonth Optimization, held from . June 20 to July I, 1988. The site for the meeting was the "Ettore ~Iajorana" Centre for Sci entific Culture in Erice, Sicily. In the tradition of these meetings the main purpose was to give the state-of-the-art of an important and growing field of mathematics, and to stimulate interactions between finite-dimensional and infinite-dimensional op timization. The School was attended by approximately 80 people from 23 countries; in particular it was possible to have some distinguished lecturers from the SO\·iet Union, whose research institutions are here gratt-fnlly acknowledged. Besides the lectures, several seminars were delivered; a special s·~ssion was devoted to numerical computing aspects. The result was a broad exposure. gi ·. ring a deep knowledge of the present research tendencies in the field. We wish to express our appreciation to all the participants. Special mention 5hould be made of the Ettorc ;. . Iajorana Centre in Erice, which helped provide a stimulating and rewarding experience, and of its staff which was fundamental for the success of the meeting. j\, loreover, WP want to extend uur deep appreci
Author : E. A. Nurminski
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (95 download)
Download or read book An Application of Nondifferentiable Optimization in Optimal Control written by E. A. Nurminski and published by . This book was released on 1981 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3540568506
Total Pages : 442 pages
Book Rating : 4.5/5 (45 download)
Download or read book Convex Analysis and Minimization Algorithms I written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 1996-10-30 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 9783540568520
Total Pages : 374 pages
Book Rating : 4.5/5 (685 download)
Download or read book Convex Analysis and Minimization Algorithms II written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 1996-10-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"
Author : Bartlomiej Beliczynski
Publisher : Springer
ISBN 13 : 3540716181
Total Pages : 868 pages
Book Rating : 4.5/5 (47 download)
Download or read book Adaptive and Natural Computing Algorithms written by Bartlomiej Beliczynski and published by Springer. This book was released on 2007-07-03 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set constitutes the refereed proceedings of the 8th International Conference on Adaptive and Natural Computing Algorithms, ICANNGA 2007, held in Warsaw, Poland, in April 2007. Coverage in the first volume includes evolutionary computation, genetic algorithms, and particle swarm optimization. The second volume covers neural networks, support vector machines, biomedical signal and image processing, biometrics, computer vision.
Author : J.-B. Hiriart-Urruty
Publisher : Elsevier
ISBN 13 : 0080872409
Total Pages : 337 pages
Book Rating : 4.0/5 (88 download)
Download or read book Fermat Days 85: Mathematics for Optimization written by J.-B. Hiriart-Urruty and published by Elsevier. This book was released on 1986-01-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.
Author : Stephan Dempe
Publisher : Springer Science & Business Media
ISBN 13 : 030648045X
Total Pages : 318 pages
Book Rating : 4.3/5 (64 download)
Download or read book Foundations of Bilevel Programming written by Stephan Dempe and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all parameter values, this problem is equivalent to a one-level optimization problem having an implicitly defined objective function. Special emphasize in the book is on problems having non-unique lower level optimal solutions, the optimistic (or weak) and the pessimistic (or strong) approaches are discussed. The book starts with the required results in parametric nonlinear optimization. This is followed by the main theoretical results including necessary and sufficient optimality conditions and solution algorithms for bilevel problems. Stationarity conditions can be applied to the lower level problem to transform the optimistic bilevel programming problem into a one-level problem. Properties of the resulting problem are highlighted and its relation to the bilevel problem is investigated. Stability properties, numerical complexity, and problems having additional integrality conditions on the variables are also discussed. Audience: Applied mathematicians and economists working in optimization, operations research, and economic modelling. Students interested in optimization will also find this book useful.
