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Synopsis
Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given.
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About the Author
Karel Pastor; Ph.D.: Studied Mathematical Analysis at Palacký University in Olomouc. Lecturer at Palacký University in Olomouc. Du?an Bedna?ík; Ph.D.: Studied Mathematical Analysis at Palacký University in Olomouc. Lecturer at University of Hradec Králové. Both authors interested in Nonlinear Functional Analysis.
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Generalized Directional Derivatives
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given. 72 pp. Englisch. Seller Inventory # 9783838380254
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Generalized Directional Derivatives : Theory and Examples
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given. Seller Inventory # 9783838380254
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Generalized Directional Derivatives
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch. Seller Inventory # 9783838380254
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Taschenbuch. Condition: Neu. Generalized Directional Derivatives | Theory and Examples | Karel Pastor (u. a.) | Taschenbuch | 72 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838380254 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 107491777
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