4 problems

Consider the homogeneous quadratically constrained quadratic optimization problem denoted by … has at most four strict local non-global minimizers. The statement is presented after…

For any $(v_0,v)\in\mathbb{R}^{n+1}$, let $\text{E-CG}(v_0,v)$ denote the corresponding Eigen-CG inequality, and let BH inequalities denote the Boros–Hammer inequalities. Nonnegati…

A CDT subproblem is a cubic-regularized optimization subproblem, and a nonconvex quadratic optimization problem with a quartic constraint is an optimization problem whose objective…

Let … hold; and (ii) there exists a nonzero vector $\bar v$ satisfying $-$. This conjecture seeks a complete characterization of non-strict local non-global minimizers; the supplie…