40 citations · 250 across the 28 of their papers we have counts for
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math.FA2015★ 4 cited
Pre-images of extreme points of the numerical range, and applications
Ilya M. Spitkovsky, Stephan Weis
We extend the pre-image representation of exposed points of the numerical range of a matrix to all extreme points. With that we characterize extreme points which are multiply gener…
math-ph2015★ 17 cited
Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach
Leiba Rodman, Ilya M. Spitkovsky, Arleta Szkoła +1
We study the continuity of an abstract generalization of the maximum-entropy inference - a maximizer. It is defined as a right-inverse of a linear map restricted to a convex body w…
math-ph2015★ 5 cited
Maximum-entropy inference and inverse continuity of the numerical range
Stephan Weis
We study the continuity of the maximum-entropy inference map for two observables in finite dimensions. We prove that the continuity is equivalent to the strong continuity of the se…