Armon Rasooli

Loewner Extrema and Rank-One Certification Gaps for Cumulative-Tail Matrix Response Bodies

We give an exact spectral classification in every finite real matrix dimension for thecompact response body En(S) = {G[K] : K ∈ An(S)}. It has least and greatestelements in Loewner order if and only if S has at most one distinct eigenvalue in(aℓ, bℓ). On exactly these spectral st...