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math.OC2022
On Carlier's inequality
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
The Fenchel-Young inequality is fundamental in Convex Analysis and Optimization. It states that the difference between certain function values of two vectors and their inner produc…
math.OC2022★ 6 cited
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
Finding a zero of a sum of maximally monotone operators is a fundamental problem in modern optimization and nonsmooth analysis. Assuming that the resolvents of the operators are av…