On existence of smooth solutions of parameter-dependent convex programming problems
نویسندگان
چکیده
We show in this paper that, under general conditions, any convex programming problem depending continuously upon scalar parameters, and solvable for any value of the latter in a fixed compact set (resp. open set), admits a branch of solutions which is polynomial (resp. smooth) with respect to these parameters. This result may be useful to generate tractable approximations of uncertain convex programming problems with vanishing conservativeness.
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