18 citations · 41 across the 15 of their papers we have counts for
4 papers · 2 filters
On the sharpness of the weighted Bernstein-Walsh inequality, with applications to the superlinear convergence of conjugate gradients
Bernhard Beckermann, Thomas Helart
In this paper we show that the weighted Bernstein-Walsh inequality in logarithmic potential theory is sharp up to some new universal constant, provided that the external field is g…
Low-rank updates of matrix functions
Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer
We consider the task of updating a matrix function when the matrix is subject to a low-rank modification. In other words, we aim at approximat…
Rational minimax approximation via adaptive barycentric representations
Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen +1
Computing rational minimax approximations can be very challenging when there are singularities on or near the interval of approximation - precisely the case where rational function…
On a fast Arnoldi method for BML matrices
Bernhard Beckermann, Clara Mertens, Raf Vandebril
Matrices whose adjoint is a low rank perturbation of a rational function of the matrix naturally arise when trying to extend the well known Faber-Manteuffel theorem, which provides…