112 citations · 425 across the 52 of their papers we have counts for
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math.AG2010★ 1 cited
On the dimension of spline spaces on planar T-meshes
Bernard Mourrain
We analyze the space of bivariate functions that are piecewise polynomial of bi-degree \textless{}= (m, m') and of smoothness r along the interior edges of a planar T-mesh. We give…
cs.SC2010★ 20 cited
The DMM bound: multivariate (aggregate) separation bounds
Ioannis Z. Emiris, Bernard Mourrain, Elias Tsigaridas
In this paper we derive aggregate separation bounds, named after Davenport-Mahler-Mignotte (\dmm), on the isolated roots of polynomial systems, specifically on the minimum distance…