R. Luce

activity

20132021

most citedRobust Near-Separable Nonnegative Matrix Factorization Using Linear Optimization

81 citations · 234 across the 14 of their papers we have counts for

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math.CV2017★ 5 cited

The index of singular zeros of harmonic mappings of anti-analytic degree one

Robert Luce, Olivier Sète

We study harmonic mappings of the form $f (z) = h (z) - z$ , where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of…

math.CV2014★ 13 cited

A Note on the Maximum Number of Zeros of $r (z) - z ˉ$

Robert Luce, Olivier Sète, Jörg Liesen

An important theorem of Khavinson & Neumann (Proc. Amer. Math. Soc. 134(4), 2006) states that the complex harmonic function $r (z) - z ˉ$ , where $r$ is a rational function of de…

math.CV2014★ 17 cited

Perturbing rational harmonic functions by poles

Olivier Sète, Robert Luce, Jörg Liesen

We study how adding certain poles to rational harmonic functions of the form $R (z) - z ˉ$ , with $R (z)$ rational and of degree $d \geq 2$ , affects the number of zeros of the result…

The index of singular zeros of harmonic mappings of anti-analytic degree one

A Note on the Maximum Number of Zeros of r(z)−zˉ

Perturbing rational harmonic functions by poles

A Note on the Maximum Number of Zeros of $r (z) - z ˉ$