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Abstract
We calculate the convex hull of the so-called counting function restricted to a ball of Rp, and we then use it, with a result of A. Lewis, to recover the convex hull of the rank function restricted to a ball of Mm,n(R), the space of real (m,n)-matrices.
Author information
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HY
Hai Yen Le
Institut de Mathématiques, Université P. Sabatier, 118, route de Narbonne, 31062 Toulouse, France
H. Y. Le. “Confexifying the Counting Function on R^(p) for Convexifying the Rank Function on M_(m,n)(R).” Journal of Convex Analysis 19 (2012), No. 2, 519–524.