20 citations · 21 across the 4 of their papers we have counts for
4 papers
Lower bounds in -rational approximation to Blaschke products
Laurent Baratchart, Alexander Borichev, Sylvain Chevillard +2
We derive lower bounds in best rational approximation of given degree to finite Blaschke products, in the Hardy space of the unit disk. We first consider approximation to $z^…
Model-Free Closed-Loop Stability Analysis: A Linear Functional Approach
Adam Cooman, Fabien Seyfert, Martine Olivi +2
Performing a stability analysis during the design of any electronic circuit is critical to guarantee its correct operation. A closed-loop stability analysis can be performed by ana…
Minimax principle and lower bounds in H-rational approximation
Laurent Baratchart, Sylvain Chevillard, Tao Qian
We derive some lower bounds in rational approximation of given degree to functions in the Hardy space of the disk. We apply these to asymptotic errors rates in approximation…
Multiple precision evaluation of the Airy Ai function with reduced cancellation
Sylvain Chevillard, Marc Mezzarobba
The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation. Based on a method recently proposed by…