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TitleQuasidifferential Calculus [electronic resource] / edited by V. F. Demyanov, L. C. W. Dixon
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1986
Connect tohttp://dx.doi.org/10.1007/BFb0121132
Descript 222 p. online resource

CONTENT

Nonsmoothness and quasidifferentiability -- Quasidifferentiable functions: Necessary conditions and descent directions -- On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints -- Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization -- On minimizing the sum of a convex function and a concave function -- An algorithm for minimizing a certain class of quasidifferentiable functions -- A linearization method for minimizing certain quasidifferentiable functions -- A directional implicit function theorem for quasidifferentiable functions -- Directional differentiability of a continual maximum function of quasidifferentiable functions -- On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions -- Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory -- Quasidifferentiable mappings and the differentiability of maximum functions -- Quasidifferentiable functions in Optimal Control -- The space of star-shaped sets and its applications in nonsmooth optimization -- ?-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems


Mathematics Computer science -- Mathematics Mathematical optimization Mathematics Optimization Mathematics of Computing



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