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math.OC2018
Non-monotone Behavior of the Heavy Ball Method
Marina Danilova, Anastasiya Kulakova, Boris Polyak
We focus on the solutions of second-order stable linear difference equations and demonstrate that their behavior can be non-monotone and exhibit peak effects depending on initial c…
math.OC2018
Geometry of quadratic maps via convex relaxation
Anatoly Dymarsky, Elena Gryazina, Sergei Volodin +1
We consider several basic questions pertaining to the geometry of image of a general quadratic map. In general the image of a quadratic map is non-convex, although there are severa…