Yong Xia

The Projected Hessian Quantification Theorem: Exact Duality For Constrained Eigenvalues

The classical Projected Hessian Lemma, originating from Finsler's theorem, characterizes definiteness over a constraint null space through quadratic penalties. However, it does not quantify the corresponding constrained eigenvalues or the associated eigenvalue penalty path. This work develops a quantitative penalty the...