Last two pieces of the puzzle for unsolvability of a system of two quadratic (in)equalities

Min-Chi Wang, Ruey-Lin Sheu, Huu-Quang Nguyen

Given two quadratic functions \( f(x) = x^T Ax + 2a^T x + a_0 \) and \( g(x) = x^T Bx + 2b^T x + b_0 ,\) each associated with either the strict inequality ($<0$); non-strict inequa…