I am an Associate Professor at the Department of Mathematics and Statistics, University of Massachusetts Lowell. I research nonlinear functional analysis, variational analysis and optimization.
Contact: sedi_bartz@uml.edu
Papers:
S. Bartz, H.H. Bauschke, J.M. Borwein, S. Reich and X. Wang: "Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative", Nonlinear Analysis 66 (2007), 1198-1223. (pdf from Heinz Bauschke's site)
S. Bartz and S. Reich: "Minimal antiderivatives and monotonicity", Nonlinear Analysis 74 (2011), 59-66.
S. Bartz and S. Reich: "Abstract convex optimal antiderivatives", Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 29 (2012), 435-454. (arXiv link)
S. Bartz and S. Reich: "Optimal pricing for optimal transport", Set-Valued and Variational Analysis 22 (2014), 467-481. (arXiv link)
S. Bartz and S. Reich: "Some aspects of the representation of c-monotone operators by C-convex functions",Journal of Convex Analysis 22 (2015), 687-710.
S. Bartz, H.H. Bauschke, S.M Moffat and X. Wang: "The resolvent average of monotone operators: dominant and recessive properties", SIAM Journal on Optimization 26 (2016), 602-634. (arXiv link)
S. Bartz, H.H. Bauschke and X. Wang: "The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau", SIAM Journal on Optimization 27 (2017), 466-477. (arXiv link)
S. Bartz, H.H. Bauschke and X. Wang: "A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials", Journal of Mathematical Analysis and Applications 461 (2018), 333-348. (arXiv link)
S. Bartz, H.H. Bauschke, H.M. Phan and X. Wang: "Multi-marginal maximal monotonicity and convex analysis", Mathematical Programming Series A 185 (2021), 385–408.(arXiv link)
S. Bartz, R. Campoy, H.M. Phan: "Demiclosedness principles for generalized nonexpansive mappings", Journal of Optimization Theory and Applications 186 (2020), 759-778. (arXiv link).
S. Bartz, M.N. Dao and H.M. Phan: "Conical averagedness and convergence analysis of fixed point algorithms", Journal of Global Optimization 82 (2022), 351–373. (arXiv link).
S. Bartz, R. Campoy and H.M. Phan: "An adaptive alternating directions method of multipliers", Journal of Optimization Theory and Applications 195 (2022), 1019-1055. (arXiv link).
D.N. Phan, S. Bartz, N. Guha and H.M. Phan: "Stochastic Variance-Reduced Majorization-Minimization Algorithms", SIAM Journal on Mathematics of Data Science 6 (2024), 926-952. (arXiv link)