54 citations · 223 across the 23 of their papers we have counts for
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math.OC2016★ 9 cited
A semi-analytical approach for the positive semidefinite Procrustes problem
Nicolas Gillis, Punit Sharma
The positive semidefinite Procrustes (PSDP) problem is the following: given rectangular matrices and , find the symmetric positive semidefinite matrix that minimizes the…
math.OC2016★ 54 cited
On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
Nicolas Gillis, Punit Sharma
In this paper, we consider the problem of computing the nearest stable matrix to an unstable one. We propose new algorithms to solve this problem based on a reformulation using lin…