The p-AAA Algorithm for Data-Driven Modeling of Parametric Dynamical Systems

DOI10.1137/20m1322698zbMath1528.93001arXiv2003.06536OpenAlexW3010890826MaRDI QIDQ6108167

Unnamed Author, Andrea Carracedo Rodriguez, Serkan Gugercin

Publication date: 29 June 2023

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06536

zbMATH Keywords

interpolationdynamical systemsleast-squaresrational approximationtransfer functionsparametric systems

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Realizations from input-output data (93B15) Large-scale systems (93A15) Approximation methods and numerical treatment of dynamical systems (37M99) Numerical methods for mathematical programming, optimization and variational techniques (65K99) Mathematical modeling or simulation for problems pertaining to systems and control theory (93-10)

Related Items (3)

Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework ⋮ AAA Rational Approximation on a Continuum ⋮ MWCAWE: a multivariate WCAWE approach for parametric model order reduction, and a sampling strategy for the bivariate case

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