Nicolas Gillis

activity

20082026

most citedFast and Robust Recursive Algorithms for Separable Nonnegative Matrix Factorization

269 citations · 3k across the 82 of their papers we have counts for

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Showing 2017 · math.NAShow all

3 papers · 2 filters

math.NA2017★ 1 cited

Multiplicative Updates for Polynomial Root Finding

Nicolas Gillis

Let $f (x) = p (x) - q (x)$ be a polynomial with real coefficients whose roots have nonnegative real part, where $p$ and $q$ are polynomials with nonnegative coefficients. In this paper,…

math.NA2017★ 21 cited

Computing nearest stable matrix pairs

Nicolas Gillis, Volker Mehrmann, Punit Sharma

In this paper, we study the nearest stable matrix pair problem: given a square matrix pair $(E, A)$ , minimize the Frobenius norm of $(Δ_{E}, Δ_{A})$ such that $(E + Δ_{E}, A + Δ_{A})$ is a stable…

math.NA2017★ 38 cited

Introduction to Nonnegative Matrix Factorization

Nicolas Gillis

In this paper, we introduce and provide a short overview of nonnegative matrix factorization (NMF). Several aspects of NMF are discussed, namely, the application in hyperspectral i…