Is it possible to check if a system of quadratic inequalities has a solution ? More precisely, we have $n$ inequalities of the form $q_k(x_1,x_2,...,x_n) > 0$ where $q_k : \mathbb{R}^n_+ \to \mathbb{R}$ for $k\in \{1,2,...,n\}$ is a quadratic form restricted to the positive reals.
2026-04-02 16:56:21.1775148981
Solution of a system of quadratic inequalities
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