New posts in Non Convex Optimization

What is the range of $\vec{z}^{ \mathrm{ T } }A\vec{z} $?

Minimize the maximum inner product with vectors in a given set

Projection of an interior point of an ellipsoid onto itself

Minimize $\left\lVert \mathbf{x} \right\rVert_1 - \left\lVert \mathbf{x} - \overline x \,\mathbf{1}_n\right\rVert_1$ over the unit $n$-cube

Maximise $p_1p_2p_3p_4p_5$ subject to constraints

What is the definition of a first order method?

Maximize the value of $v^{T}Av$

Proving an infinite norm minimization problem has finite support (non-convex p-norms)

Linearly constrained eigenvalue problem

Is all non-convex optimization heuristic?