269 citations · 3k across the 82 of their papers we have counts for
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Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization
Masoud Ahookhosh, Le Thi Khanh Hien, Nicolas Gillis +1
We introduce and analyze BPALM and A-BPALM, two multi-block proximal alternating linearized minimization algorithms using Bregman distances for solving structured nonconvex problem…
Minimal-norm static feedbacks using dissipative Hamiltonian matrices
Nicolas Gillis, Punit Sharma
In this paper, we characterize the set of static-state feedbacks that stabilize a given continuous linear-time invariant system pair using dissipative Hamiltonian matrices. This ch…
Inertial Block Proximal Methods for Non-Convex Non-Smooth Optimization
Le Thi Khanh Hien, Nicolas Gillis, Panagiotis Patrinos
We propose inertial versions of block coordinate descent methods for solving non-convex non-smooth composite optimization problems. Our methods possess three main advantages compar…
On approximating the nearest Ω-stable matrix
Neelam Choudhary, Nicolas Gillis, Punit Sharma
In this paper, we consider the problem of approximating a given matrix with a matrix whose eigenvalues lie in some specific region Ω, within the complex plane. More precisely, we c…