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The Minor inequalities in the description of the Set Covering Polyhedron of Circulant Matrices
polyhedral combinatorics set covering circulant matrices Combinatorics
2012/6/25
In this work we give a complete description of the set covering polyhedron of circulant matrices $C^k_{sk}$ with $s = 2,3$ and $k\geq 3 $ by linear inequalities. In particular, we prove that every non...
Norm and anti-norm inequalities for positive semi-definite matrices
Matrix operator trace symmetric norm symmetric anti-norm
2011/2/25
Some subadditivity results involving symmetric (unitarily invariant) norms are obtained. For instance, if g(t) =Pm k=0 aktk is a polynomial of degree m with non-negative coefficients, then, for all po...