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math.OC2018★ 12 cited
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices
Stephane Gaubert, Nikolas Stott
We show that the joint spectral radius of a finite collection of nonnegative matrices can be bounded by the eigenvalue of a non-linear operator. This eigenvalue coincides with the…
math.OC2017
Tropical Kraus maps for optimal control of switched systems
Stéphane Gaubert, Nikolas Stott
Kraus maps (completely positive trace preserving maps) arise classically in quantum information, as they describe the evolution of noncommutative probability measures. We introduce…