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math.OC2026
Target Mirror Descent: A Unifying Framework for Solving Monotone Variational Inequalities
Yu-Wen Chen, Can Kizilkale, Murat Arcak
It is well known that mirror descent may diverge or cycle on merely monotone variational inequalities. In this paper, we propose \emph{Target Mirror Descent} (TMD), a unified frame…
math.OC2025
On Exact Solutions to the Linear Bellman Equation
David Ohlin, Richard Pates, Murat Arcak
This paper presents sufficient conditions for optimal control of systems with dynamics given by a linear operator, in order to obtain an explicit solution to the Bellman equation t…