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  • 1
    Online Resource
    Online Resource
    Quasidifferentiability and Related Topics (2000)
    Boston, MA :Springer US :
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    Details
    UID:
    almahu_9947363215202882
    Format: XIX, 395 p. , online resource.
    ISBN: 9781475731378
    Series Statement: Nonconvex Optimization and Its Applications, 43
    Content: 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.
    Note: An Introduction to Quasidifferential Calculus -- 2 Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison -- 3 Dual Representations of Classes of Positively Homogeneous Functions -- 4 Exhausters and Convexificators — New Tools in Nonsmooth Analysis -- 5 On Directional Differentiability of Marginal Functions in Quasidifferentiable Case -- 6 Optimality Conditions with Lagrange Multipliers for in Equality Constrained Quasidifferentiable Optimization -- 7 Strongly Differentiable Multifunctions and Directional Differentiability of Marginal Functions -- 8 Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus -- 9 QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys -- 10 Radiant Sets and Their Gauges -- 11 Differences of Convex Compacta and Metric Spaces of Convex Compacta with Applications: A Survey -- 12 Convex Approximators, Convexificators and Exhausters: Applications to Constrained Extremum Problems -- 13 Approximations to Convex-Valued Multifunctions -- 14 Continuous Approximations, Codifferentiable Functions and Minimization Methods.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781441948304
    Language: English
    DOI: 10.1007/978-1-4757-3137-8
    URL: http://dx.doi.org/10.1007/978-1-4757-3137-8
    URL: Volltext
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    HU Berlin
    BTU Cottbus
  • 2
    Online Resource
    Online Resource
    Quasidifferentiability and Related Topics (2000)
    Boston, MA : Springer
    Details
    UID:
    gbv_1655348760
    Format: Online-Ressource (XIX, 395 p, online resource)
    ISBN: 9781475731378
    Series Statement: Nonconvex Optimization and Its Applications 43
    Content: This book, mostly review chapters, is a collection of recent 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 twentieth anniversary of this development provides a good occasion to appraise the impact, results and perspectives of the field. Audience: Specialists in optimization, mathematical programming, convex analysis, nonsmooth analysis, as well as engineers using mathematical tools and optimization techniques, and specialists in mathematical modeling
    Additional Edition: ISBN 9781441948304
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-144-194-830-4
    Language: English
    DOI: 10.1007/978-1-4757-3137-8
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Demʹjanov, Vladimir F. 1938-
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    UB Potsdam
  • 3
    Online Resource
    Online Resource
    Quasidifferentiability and Related Topics / (2000)
    New York, NY :Springer US :
    Show associated volumes
    Details
    UID:
    almatuudk_9921988776902884
    Format: 1 online resource (XIX, 395 p.)
    Edition: 1st ed. 2000.
    ISBN: 1-4757-3137-X
    Series Statement: Nonconvex Optimization and Its Applications, 43
    Content: 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.
    Note: Bibliographic Level Mode of Issuance: Monograph , An Introduction to Quasidifferential Calculus -- 2 Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison -- 3 Dual Representations of Classes of Positively Homogeneous Functions -- 4 Exhausters and Convexificators — New Tools in Nonsmooth Analysis -- 5 On Directional Differentiability of Marginal Functions in Quasidifferentiable Case -- 6 Optimality Conditions with Lagrange Multipliers for in Equality Constrained Quasidifferentiable Optimization -- 7 Strongly Differentiable Multifunctions and Directional Differentiability of Marginal Functions -- 8 Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus -- 9 QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys -- 10 Radiant Sets and Their Gauges -- 11 Differences of Convex Compacta and Metric Spaces of Convex Compacta with Applications: A Survey -- 12 Convex Approximators, Convexificators and Exhausters: Applications to Constrained Extremum Problems -- 13 Approximations to Convex-Valued Multifunctions -- 14 Continuous Approximations, Codifferentiable Functions and Minimization Methods. , English
    Additional Edition: ISBN 0-7923-6284-5
    Additional Edition: ISBN 1-4419-4830-9
    Language: English
    DOI: 10.1007/978-1-4757-3137-8
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    TU Berlin
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