779 citations
- École PolytechniqueFR888 papers
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- Institut national de recherche en sciences et technologies du numériqueFR124 papers
- Université Paris-SaclayFR80 papers
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Showing 2009 · math.OCShow all
3 papers · 2 filters
math.OC2009
Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach
Emiliano Cristiani, Pierre Martinon
The aim of this paper is to investigate from the numerical point of view the possibility of coupling the Hamilton-Jacobi-Bellman (HJB) equation and Pontryagin's Minimum Principle (…
math.OC2009★ 1 cited
A Class of Semidefinite Programs with rank-one solutions
Guillaume Sagnol
We show that a class of semidefinite programs (SDP) admits a solution that is a positive semidefinite matrix of rank at most , where is the rank of the matrix involved in th…
math.OC2009★ 53 cited
Minimal half-spaces and external representation of tropical polyhedra
Stephane Gaubert, Ricardo D. Katz
We give a characterization of the minimal tropical half-spaces containing a given tropical polyhedron, from which we derive a counter example showing that the number of such minima…