International audienceThis paper studies the differentiability properties of the projection onto the cone of positive semidefinite matrices. In particular, the expression of the Clarke generalized Jacobian of the projection at any symmetric matrix is given
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
AbstractWe extend finite dimensional results of Han and Mangasarian characterizing positive semidefi...
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite pro-gramming can be reformu...
This paper studies the differentiability properties of the projection onto the cone of positive semi...
AbstractA survey of some general properties of the cone of positive semidefinite matrices, its faces...
AbstractA function f from the symmetric group Sn into R is called a class function if it is constant...
The structural properties of the completely positive semidefinite cone CSn +, consisting of all the ...
AbstractWe study various notions of multivariate functions which map families of positive semidefini...
International audienceEngineering sciences and applications of mathematics show unambiguously that p...
AbstractWe establish new connections between the range of a positive semidefinite matrix and its exp...
AbstractLet c:Sn→ ℂ be a complex-valued function on the symmetric group Sn, and let A = (aij) be an ...
AbstractLet K⊂E, K′⊂E′ be convex cones residing in finite-dimensional real vector spaces. An element...
We investigate structural properties of the completely positive semidefinite cone CS^n_+, consisting...
AbstractA common problem in multivariate analysis is that of minimizing a scalar function φ of a pos...
AbstractA common problem in multivariate analysis is that of minimising or maximising a function f o...
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
AbstractWe extend finite dimensional results of Han and Mangasarian characterizing positive semidefi...
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite pro-gramming can be reformu...
This paper studies the differentiability properties of the projection onto the cone of positive semi...
AbstractA survey of some general properties of the cone of positive semidefinite matrices, its faces...
AbstractA function f from the symmetric group Sn into R is called a class function if it is constant...
The structural properties of the completely positive semidefinite cone CSn +, consisting of all the ...
AbstractWe study various notions of multivariate functions which map families of positive semidefini...
International audienceEngineering sciences and applications of mathematics show unambiguously that p...
AbstractWe establish new connections between the range of a positive semidefinite matrix and its exp...
AbstractLet c:Sn→ ℂ be a complex-valued function on the symmetric group Sn, and let A = (aij) be an ...
AbstractLet K⊂E, K′⊂E′ be convex cones residing in finite-dimensional real vector spaces. An element...
We investigate structural properties of the completely positive semidefinite cone CS^n_+, consisting...
AbstractA common problem in multivariate analysis is that of minimizing a scalar function φ of a pos...
AbstractA common problem in multivariate analysis is that of minimising or maximising a function f o...
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
AbstractWe extend finite dimensional results of Han and Mangasarian characterizing positive semidefi...
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite pro-gramming can be reformu...