Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results

Massart, Estelle;Gousenbourger, Pierre-Yves;Nguyen, Thanh Son;Stykel, Tatjana;Absil, Pierre-Antoine
(2019) 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019) — Location: Bruges (24.April.2019)

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We present several interpolation schemes on the manifold of fixed-rank positive-semidefinite (PSD) matrices. We explain how these techniques can be used for model order reduction of parameterized linear dynamical systems, and obtain preliminary results on an application.
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Massart, E., Gousenbourger, P.-Y., Nguyen, T. S., Stykel, T., & Absil, P.-A. (2019). Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. ESANN 2019 Proceedings, p. 281-286. https://hdl.handle.net/2078.5/226859