Articoli correlati a Quasidifferentiability and Related Topics: 43
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This collection, mostly review chapters, covers results in different aspects of nonsmooth analysis related to, connected with or inspired by quasidifferential calculus. Some applications to various problems of mechanics and mathematics are discussed; numerical algorithms are described and compared; open problems are presented and studied. The goal of the book is to provide up-to-date information concerning quasidifferentiability and related topics. The state of the art in quasidifferential calculus is examined and evaluated by experts, both researchers and users. Quasidifferentiable functions were introduced in 1979 and the 20th anniversary of this development provides a good occasion to appraise the impact, results and perspectives of the field.
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Contenuti
Preface. References. 1. An Introduction to Quasidifferential Calculus; V.F. Demyanov, A.M. Rubinov. 2. Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison; A.M. Bagirov. 3. Dual Representations of Classes of Positively Homogeneous Functions; M. Castellani. 4. Exhausters and Convexificators - New Tools in Nonsmooth Analysis; V.F. Demyanov. 5. On Directional Differentiability of Marginal Functions in Quasidifferentiable Case; S.I. Dudov. 6. Optimality Conditions with Lagrange Multipliers for Inequality Constrained Quasidifferentiable Optimization; Y. Gao. 7. Strongly Differentiable Multifunctions and Directional Differentiability of Marginal Functions; L. Minchenko, A. Volosevich. 8. Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus; D. Pallaschke, R. Urbanski. 9. QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys; L.N. Polyakova, G.E. Stavroulakis. 10. Radiant Sets and Their Gauges; A.M. Rubinov. 11. Differences of Convex Compacta and Metric Spaces of Convex Compacta with Applications: a Survey; A.M. Rubinov, A.A. Vladimirov. 12. Convex Approximators, Convexificators and Exhausters: Applications to Constrained Extremum Problems; A. Uderzo. 13. Approximations to Convex-Valued Multifunctions; L.-W. Zhang, Z.-Q. Xia. 14. Continuous Approximations, Codifferentiable Functions and Minimization Methods; A. Zaffaroni.
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Quasidifferentiability and Related Topics (Nonconvex Optimization and Its Applications, Vol. 43)
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 DIFFERENCES OF CONVEX COMPACTA AND METRIC SPACES OF CON- 263 VEX COMPACTA WITH APPLICATIONS: A SURVEY A. M. Rubinov, A. A. Vladimirov 1 Introduction 264 2 Preliminaries 264 3 Differences of convex compact sets: general approach 266 4 Metric projections and corresponding differences (one-dimensional case) 267 5 The \*-difference 269 6 The Demyanov difference 271 7 Geometric and inductive definitions of the D-difference 273 8 Applications to DC and quasidifferentiable functions 276 9 Differences of pairs of set-valued mappings with applications to quasidiff- entiability 278 10 Applications to approximate subdifferentials 280 11 Applications to the approximation of linear set-valued mappings 281 12 The Demyanov metric 282 13 The Bartels-Pallaschke metric 284 14 Hierarchy of the three norms on Qn 285 15 Derivatives 287 16 Distances from convex polyhedra and convergence of convex polyhedra 289 17 Normality of convex sets 290 18 D-regular sets 291 19 Variable D-regular sets 292 20 Optimization 293 References 294 12 CONVEX APPROXIMATORS. 420 pp. Englisch. Codice articolo 9780792362845
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 D. Codice articolo 5969303
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Condizione: New. Presenting information concerning quasidifferentiability and related topics, this book is a collection of results in different aspects of nonsmooth analysis related to, connected with or inspired by quasidifferential calculus. It is useful for specialists in optimization, mathematical programming, convex analysis, and nonsmooth analysis. Editor(s): Dem'yanov, V. F.; Rubinov, Alexander. Series: Nonconvex Optimization and Its Applications. Num Pages: 414 pages, biography. BIC Classification: PBKQ; TGP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 763. . 2000. Hardback. . . . . Codice articolo V9780792362845
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 DIFFERENCES OF CONVEX COMPACTA AND METRIC SPACES OF CON- 263 VEX COMPACTA WITH APPLICATIONS: A SURVEY A. M. Rubinov, A. A. Vladimirov 1 Introduction 264 2 Preliminaries 264 3 Differences of convex compact sets: general approach 266 4 Metric projections and corresponding differences (one-dimensional case) 267 5 The \*-difference 269 6 The Demyanov difference 271 7 Geometric and inductive definitions of the D-difference 273 8 Applications to DC and quasidifferentiable functions 276 9 Differences of pairs of set-valued mappings with applications to quasidiff- entiability 278 10 Applications to approximate subdifferentials 280 11 Applications to the approximation of linear set-valued mappings 281 12 The Demyanov metric 282 13 The Bartels-Pallaschke metric 284 14 Hierarchy of the three norms on Qn 285 15 Derivatives 287 16 Distances from convex polyhedra and convergence of convex polyhedra 289 17 Normality of convex sets 290 18 D-regular sets 291 19 Variable D-regular sets 292 20 Optimization 293 References 294 12 CONVEX APPROXIMATORS. Codice articolo 9780792362845
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Condizione: New. Presenting information concerning quasidifferentiability and related topics, this book is a collection of results in different aspects of nonsmooth analysis related to, connected with or inspired by quasidifferential calculus. It is useful for specialists in optimization, mathematical programming, convex analysis, and nonsmooth analysis. Editor(s): Dem'yanov, V. F.; Rubinov, Alexander. Series: Nonconvex Optimization and Its Applications. Num Pages: 414 pages, biography. BIC Classification: PBKQ; TGP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 763. . 2000. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9780792362845
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