3 papers
math.OC2026
Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization
Sedi Bartz, Heinz H. Bauschke, Yuan Gao +1
In October 2025, research by BoÅ£, Fadili, and Nguyen, and by Jang and Ryu, led to the seminal result that Beck and Teboulle's FISTA converges weakly to a minimizer of the sum of t…
math.OC2026
Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
The Krasnoselskii-Mann iteration is an important algorithm in optimization and variational analysis for finding fixed points of nonexpansive mappings. In the general case, it produ…
math.OC2025
On the equivalence of -potentiability and -path boundedness in the sense of Artstein-Avidan, Sadovsky, and Wyczesany
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
A cornerstone of convex analysis, established by Rockafellar in 1966, asserts that a set has a potential if and only if it is cyclically monotone. This characterization was general…