Titlebook: Descent Directions and Efficient Solutions in Discretely Distributed Stochastic Programs; Kurt Marti Book 1988 Springer-Verlag Berlin Heid

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,Optimal solutions (y*,T*) of , having τ,*>0 for all i∈S,j∈R,Suppose again that R={1,...,r} is finite. Contained in the 4th part of the basic systems of relations (3),(5),(9),(10),(12) is always a condition of the type

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Descent Directions and Efficient Solutions in Discretely Distributed Stochastic Programs978-3-662-02558-1Series ISSN 0075-8442 Series E-ISSN 2196-9957

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https://doi.org/10.1007/978-1-4615-6023-4(P.) it holds A. y=A. x for all j ∈ R. Indeed, in this situation we either have y=x, or F is constant on the whole line through the points x and y, hence, h=y?x is not a descent direction and the procedure fails to find a descent direction of F at x. This observation suggests the following definition of stationarity.

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