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Mar 26, 2013 at 7:38 comment added George You are right, I haven't given all details. My problem is [ \min_{x\in\mathbb R^n}f(x) ] subject to [ g(x,t)=x_1g_1(t)+\cdots+x_ng_n(t)\geq 0,\quad t∈T ] where $f$ is a strictly convex function with a unique (unconstrained) minimum and all $g_j$ are continuously differentiable and strictly positive on a noncompact set $T\subseteq \mathbb R^p$. Moreover, it is always possible after minimization with respect to a finite number of constraints to locate a new $t$ for which the corresponding constraint is violated and hence it is added to the next finite set of constraints.
Mar 26, 2013 at 7:20 vote accept George
Mar 25, 2013 at 16:01 vote accept George
Mar 26, 2013 at 7:19
Mar 24, 2013 at 4:16 history answered Brian Borchers CC BY-SA 3.0