Titlebook: Quasidifferential Calculus; V. F. Demyanov,L. C. W. Dixon Book 1986Latest edition Springer-Verlag Berlin Heidelberg 1986 differential calc

赏钱

A linearization method for minimizing certain quasidifferentiable functions, search directions are found by solving a number of quadratic programming subproblems. Then an Armijo-type search is performed simultaneously along all the search directions to produce the next approximation to a solution. Quasidifferential calculus is used to establish the global convergence of the

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占卜者

On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-l terms of multifunctions of the class of functions which can be represented as the difference of two globally Lipschitzian convex functions. This approach is also used to develop a means of representing piecewise-linear continuous functions as the difference of two piecewise-linear convex functions

严厉谴责

Quasidifferentiable functions in Optimal Control,ing the controlled system are nondifferentiable (more specifically, quasidifferentiable). Several necessary conditions are derived. It turns out that different variations of a control produce different necessary conditions which are generally not equivalent. As a result we obtain several necessary c

卡死偷电

文艺

,ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems, of ε-quasidifferentiability and approximate quasidifferentiability. We study the ε-quasidifferentiability of composite functions and present some rules for ε-quasidifferential calculus. The optimality conditions for some typical extremal problems are restated in terms of ε-quasidifferentials.

内疚

On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-lnce classes of convex compact sets produced by convex compact polyhedrons: every piecewise-linear positively homogeneous continuous function may be uniquely characterized by its quasidifferential (as defined by Demyanov and Rubinov) at zero.

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Glower

Eviction