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arXiv · 2103.16300

Nonlinear Algebra and Applications

Paul Breiding·Türkü Özlüm Çelik·Timothy Duff·Alexander Heaton·Aida Maraj·Anna-Laura Sattelberger·Lorenzo Venturello·Oğuzhan Yürük
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Abstract

We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frameworks, biochemical reaction networks, algebraic vision, and tensor decompositions. Conversely, developments on these topics inspire new questions and algorithms for algebraic geometry.

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Paul Breiding, Türkü Özlüm Çelik, Timothy Duff, Alexander Heaton, Aida Maraj, Anna-Laura Sattelberger, Lorenzo Venturello, Oğuzhan Yürük. 2021-03-30. Nonlinear Algebra and Applications. https://doi.org/10.3934/naco.2021045

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