2 citations · 4 across the 2 of their papers we have counts for
3 papers
math.OC2017★ 2 cited
Exterior Distance Function
Roman Polyak
We introduce and study exterior distance function (EDF) and correspondent exterior point method (EPM) for convex optimization. The EDF is a classical Lagrangian for an equivalent p…
math.OC2017★ 2 cited
Complexity of the Regularized Newton Method
Roman Polyak
Newton's method for finding an unconstrained minimizer for strictly convex functions, generally speaking, does not converge from any starting point. We introduce and study the damp…
math.OC2016
The Legendre Transform in Modern Optimization
Roman Polyak
The Legendre transform (LET) is a product of a general duality principle: any smooth curve is, on the one hand, a locus of pairs, which satisfy the given equation and, on the other…