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Showing 1 to 2 of 2 for “"multivariate rational interpolation"”.
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Multivariate Rational Approximation in Action: From Data-driven Modeling to Nonlinear Eigenvalue Problems
… model order reduction techniques that rely on multivariate approximation methods as a fundamental tool. The investigated techniques aim to capture the complex behavior of physical systems based on given experimental measurements, simulation data, or the description of an underlying …
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Dimension Reduction in Structured Dynamical Systems: Optimal-𝓗<sub>2</sub> Approximation, Data-Driven Balancing, and Real-Time Monitoring
… the Sylvester equation-based (Wilson) and interpolation-based (Meier-Luenberger) $mathcal{H}_2$-optimality frameworks for this class of systems. These frameworks are based on two independent sets of first-order necessary conditions for optimality. We additionally show how to enforce the …