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math.OC2009★ 4 cited
Worthwhile-to-move behaviors as temporary satisficing without too many sacrificing processes
Hedy Attouch, Antoine Soubeyran
The worthwhile-to-move incremental principle is a mechanism where, at each step, the agent, before moving and after exploration around the current state, compares intermediate adva…
math.OC2009
Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects
Hedy Attouch, Paul-Emile Mainge
We study the asymptotic convergence properties, as the time variable goes to infinity, of trajectories of second-order dissipative evolution equations combining potential with non-…
math.OC2009
A parallel splitting method for weakly coupled monotone inclusions
H. Attouch, L. M. Briceno-Arias, P. L. Combettes
A parallel splitting method is proposed for solving systems of coupled monotone inclusions in Hilbert spaces. Convergence is established for a wide class of coupling schemes. Unlik…