2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Hessian approximations
Warren Hare, Gabriel Jarry-Bolduc, Chayne Planiden
This work introduces the nested-set Hessian approximation, a second-order approximation method that can be used in any derivative-free optimization routine that requires such infor…
The chain rule for VU-decompositions of nonsmooth functions
Warren Hare, Chayne Planiden, Claudia Sagastizábal
In Variational Analysis, VU-theory provides a set of tools that is helpful for understanding and exploiting the structure of nonsmooth functions. The theory takes advantage of the…
Conditions for the existence, identification and calculus rules of the threshold of prox-boundedness
Chayne Planiden
This work advances knowledge of the threshold of prox-boundedness of a function; an important concern in the use of proximal point optimization algorithms and in determining the ex…
A derivative-free -algorithm for convex finite-max problems
Warren Hare, Chayne Planiden, Claudia Sagastizábal
The -algorithm is a superlinearly convergent method for minimizing nonsmooth, convex functions. At each iteration, the algorithm works with a certain -sp…