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math.OC2026
Sharp approximation thresholds for power means of common-subspace volumes
Alexey Peregudin
We study how well a single -dimensional subspace can preserve volume from several positive semidefinite matrices at once. Each matrix is compressed to the subspace and scored by…
math.OC2026
Sharp Quadratic Majorants of Weighted Power Means of Quadratic Forms
Alexey Peregudin
We study when concave weighted power means of positive semidefinite quadratic forms admit sharp quadratic upper bounds. The starting point is the scalar fact that each such mean is…
math.OC2023★ 2 cited
New Dualities in Linear Systems and Optimal Output Control under Bounded Disturbances
Alexey Peregudin, Igor Furtat
In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometr…