Nicolas Gillis

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math.OC2026

Manifold-based Algorithms for the Hadamard Decomposition

Nicolas Gillis, Subhayan Saha, Stefano Sicilia +1

Given a matrix $X$ , and two ranks $r_{1}$ and $r_{2}$ , the Hadamard decomposition (HD) looks for two low-rank matrices, $X_{1}$ of rank $r_{1}$ and $X_{2}$ of rank $r_{2}$ , both of the same si…

math.OC2026

Computing cone-constrained singular values of matrices

Giovanni Barbarino, Nicolas Gillis, David Sossa

This paper deals with the numerical computation of the least singular value of a rectangular matrix $A$ relative to a pair of closed convex cones $(P, Q)$ , which is defined as the o…