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  • 1
    Electronic Resource
    Electronic Resource
    Directional differentiability of the optimal value function in convex semi-infinite programming (1995)
    Springer
    Mathematical programming 70 (1995), S. 149-157 
    Details
    ISSN: 1436-4646
    Keywords: Parametric optimization ; Semi-infinite programming ; Convex programming ; Optimal value function ; Directional differentiability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper, directional differentiability properties of the optimal value function of a parameterized semi-infinite programming problem are studied. It is shown that if the unperturbed semi-infinite programming problem is convex, then the corresponding optimal value function is directionally differentiable under mild regularity assumptions. A max-min formula for the directional derivatives, well-known in the finite convex case, is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01585933
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