Titlebook: Splitting Algorithms, Modern Operator Theory, and Applications; Heinz H. Bauschke,Regina S. Burachik,D. Russell Lu Book 2019 Springer Natu

Harrowing

Regularization of Ill-Posed Problems with Non-negative Solutions,We focus on two classes of methods: variational methods based on entropy-minimization or constraints, and iterative methods involving projections or non-negativity-preserving multiplicative updates. We summarize known results and point out some open problems.

Jacket

Characterizations of Super-Regularity and Its Variants,What has not kept pace with these developments is analogous results for convergence of optimization problems with correspondingly weak assumptions on the value functions. Indeed, one of the earliest classes of nonconvex sets for which convergence results were obtainable, the class of so-called . (Le

Irrepressible

ONYM

ESO

A Glimpse at Pointwise Asymptotic Stability for Continuous-Time and Discrete-Time Dynamics,e equilibrium, and that every solution converge to one of the equilibria in the set. This note provides examples of pointwise asymptotic stability related to optimization and states select results from the literature, focusing on necessary and sufficient Lyapunov and Lyapunov-like conditions for and

Processes

灰心丧气

A Note on the Equivalence of Operator Splitting Methods,s which have been studied over the past few decades. In particular, we provide simplified proofs of the equivalence of the ADMM and the Douglas–Rachford method and the equivalence of the ADMM with intermediate update of multipliers and the Peaceman–Rachford method.

Ptosis

令人心醉

aqueduct