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    Semi-bounded quadratic functions over a sublevel set of another quadratic function (Nonlinear Analysis and Convex Analysis)

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    Before attempting to solve an optimization problem, it is important to detect whether the optimal value is finite. This is called the boundedness problem. A function f is called semi-bounded if it is either bounded from below or bounded from above. In this article, we apply the separation peoperty developed by Nguyen and Sheu [10] to study the semi-boundedness of a quadratic fucntion f over the sublevel set {xin mathbb{R}^{n}|g(x)leq 0} of another quadratic function g
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