11 citations · 29 across the 10 of their papers we have counts for
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math.CV2019★ 8 cited
A sequence of polynomials with optimal condition number
Carlos Beltrán, Ujué Etayo, Jordi Marzo +1
We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993.
math.NA2019★ 5 cited
The average condition number of most tensor rank decomposition problems is infinite
Carlos Beltrán, Paul Breiding, Nick Vannieuwenhoven
The tensor rank decomposition, or canonical polyadic decomposition, is the decomposition of a tensor into a sum of rank-1 tensors. The condition number of the tensor rank decomposi…
math-ph2019★ 11 cited
Approximation to uniform distribution in SO(3)
Carlos Beltrán, Damir Ferizović
Using the theory of determinantal point processes we give upper bounds for the Green and Riesz energies for the rotation group SO(3), with Riesz parameter up to 3. The Green functi…