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math.OC2022★ 1 cited
Nonlocal error bounds for piecewise affine functions
M. V. Dolgopolik
The paper is devoted to a detailed analysis of nonlocal error bounds for nonconvex piecewise affine functions. We both improve some existing results on error bounds for such functi…
math.OC2022
An acceleration technique for methods for finding the nearest point in a polytope and computing the distance between two polytopes
M. V. Dolgopolik
We present a simple and efficient acceleration technique for an arbitrary method for computing the Euclidean projection of a point onto a convex polytope, defined as the convex hul…
math.OC2022
Exact augmented Lagrangians for constrained optimization problems in Hilbert spaces I: Theory
M. V. Dolgopolik
In this two-part study, we develop a general theory of the so-called exact augmented Lagrangians for constrained optimization problems in Hilbert spaces. In contrast to traditional…