17 citations · 148 across the 28 of their papers we have counts for
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math.OC2017★ 6 cited
A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions II: Extended Exactness
M. V. Dolgopolik
In the second part of our study we introduce the concept of global extended exactness of penalty and augmented Lagrangian functions, and derive the localization principle in the ex…
math.OC2017★ 7 cited
A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions I: Parametric Exactness
M. V. Dolgopolik
In this two-part study we develop a unified approach to the analysis of the global exactness of various penalty and augmented Lagrangian functions for finite-dimensional constraine…
math.OC2017★ 8 cited
Augmented Lagrangian Functions for Cone Constrained Optimization: the Existence of Global Saddle Points and Exact Penalty Property
M. V. Dolgopolik
In the article we present a general theory of augmented Lagrangian functions for cone constrained optimization problems that allows one to study almost all known augmented Lagrangi…