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2019 • Conference Paper

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

Authors:
Massart, Estelle , Gousenbourger, Pierre-Yves, Nguyen, Thanh Son, Stykel, Tatjana, Absil, Pierre-Antoine
Published in:
27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019)

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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