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math.OC2021
Convexity of sets and quadratic functions on the hyperbolic space
Orizon Pereira Ferreira, Sándor Zoltán Németh, Jinzhen Zhu
In this paper some concepts of convex analysis on hyperbolic space are studied. We first study properties of the intrinsic distance, for instance, we present the spectral decomposi…
math.OC2021
Reducing the projection onto the monotone extended second-order cone to the pool-adjacent-violators algorithm of isotonic regression
Orizon P. Ferreira, Yingchao Gao, Sándor Z. Németh
This paper introduces the monotone extended second-order cone (MESOC), which is related to the monotone cone and the second-order cone. Some properties of the MESOC are presented a…