17 citations · 148 across the 28 of their papers we have counts for
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math.OC2024★ 1 cited
A universal convergence theorem for primal-dual penalty and augmented Lagrangian methods
M. V. Dolgopolik
We present a so-called universal convergence theorem for inexact primal-dual penalty and augmented Lagrangian methods that can be applied to a large number of such methods and redu…
math.OC2024
Convergence analysis of primal-dual augmented Lagrangian methods and duality theory
M. V. Dolgopolik
We develop a unified theory of augmented Lagrangians for nonconvex optimization problems that encompasses both duality theory and convergence analysis of primal-dual augmented Lagr…
math.OC2024★ 1 cited
A note on the generalised Hessian of the least squares associated with systems of linear inequalities
M. V. Dolgopolik
The goal of this note is to point out an erroneous formula for the generalised Hessian of the least squares associated with a system of linear inequalities, that was given in the p…