69 citations · 74 across the 3 of their papers we have counts for
3 papers
math.OC2018★ 69 cited
Hessian Riemannian gradient flows in convex programming
Felipe Alvarez, Jérôme Bolte, Olivier Brahic
Motivated by a constrained minimization problem, it is studied the gradient flows with respect to Hessian Riemannian metrics induced by convex functions of Legendre type. The first…
math.OC2014
Existence and Approximability Results for variational problems under uniform constraints on the gradient by power penalty
Felipe Alvarez, Salvador Flores
Variational problems under uniform quasiconvex constraints on the gradient are studied. In particular, existence of solutions to such problems is proved as well as existence of lag…
math.FA2009★ 5 cited
Asymptotic almost-equivalence of abstract evolution systems
Felipe Alvarez, Juan Peypouquet
We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, co…