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math.NA2026
A refined nonlinear least-squares method for the rational approximation problem
Michael S. Ackermann, Linus Balicki, Serkan Gugercin +1
The adaptive Antoulas-Anderson (AAA) algorithm for rational approximation is a widely used method for the efficient construction of highly accurate rational approximations to given…
math.NA2025
Second-order AAA algorithms for structured data-driven modeling
Michael S. Ackermann, Ion Victor Gosea, Serkan Gugercin +1
The data-driven modeling of dynamical systems has become an essential tool for the construction of accurate computational models from real-world data. In this process, the inherent…
math.NA2024
Time-Domain Iterative Rational Krylov Method
Michael S. Ackermann, Serkan Gugercin
The Realization Independent Iterative Rational Krylov Algorithm (TF-IRKA) is a frequency-based data-driven reduced order modeling (DDROM) method that constructs opti…