2024
DOI: 10.1002/nla.2555
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Leveraging the Hankel norm approximation and data‐driven algorithms in reduced order modeling

Annan Yu,
Alex Townsend

Abstract: SummaryLarge‐scale linear time‐invariant (LTI) dynamical systems are widely used to characterize complicated physical phenomena. Glover developed the Hankel norm approximation (HNA) algorithm for optimally reducing the system in the Hankel norm, and we study its numerical issues. We provide a remedy for the numerical instabilities of Glover's HNA algorithm caused by clustered singular values. We analyze the effect of our modification on the degree and the Hankel error of the reduced system. Moreover, we propos… Show more

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