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Commutation principle for variational problems on euclidean jordan algebras
(2013)
This paper establishes a commutation result for variational problems involving spectral
sets and spectral functions. The discussion takes places in the context of a general Euclidean
Jordan algebra.
Commutation principle for variational problems on euclidean jordan algebras
(SIAM PUBLICATIONS, 2013)
On the Central Paths in Symmetric Cone Programming
(Springer, 2017)
This paper is devoted to the study of optimal solutions of symmetric coneprograms by means of the asymptotic behavior of central paths with respect to a broadclass of barrier functions. This class is, for instance, larger ...
Linear Complementarity Problems over Symmetric Cones: Characterization of Qb-transformations and Existence Results
(Springer, 2013)
This paper is devoted to the study of the symmetric cone linear complementarity
problem (SCLCP). Specifically, our aim is to characterize the class of linear
transformations for which the SCLCP has always a nonempty and ...
Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming
(Taylor & Francis, 2016)
This paper is devoted to the study of a bundle proximal-type algorithm for solving the problem of minimizing a nonsmooth closed proper convex function subject to symmetric cone constraints, which include the positive orthant ...
Euclidean jordan algebras and variational problems under conic constraints
(Universidad de Chile, 2014)
En esta tesis doctoral se abordan cuatro tópicos diferentes pero mutuamente relacionados: Problemas variacionales sobre álgebras de Jordan Euclideanos, problemas de complementariedad sobre espacios de matrices simétricas, ...