3 papers
math.NA2025
Computing the unitary best approximant to the exponential function
Tobias Jawecki
Unitary best approximation to the exponential function on an interval on the imaginary axis has been introduced recently. In the present work two algorithms are considered to compu…
math.NA2024
On the restriction to unitarity for rational approximations to the exponential function
Tobias Jawecki
In the present work we consider rational best approximations to the exponential function that minimize a uniform error on a subset of the imaginary axis. Namely, Chebyshev approxim…
math.NA2024
The error of Chebyshev approximations on shrinking domains
Tobias Jawecki
Previous works show convergence of rational Chebyshev approximants to the Padé approximant as the underlying domain of approximation shrinks to the origin. In the present work, th…