We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimiza-tion, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frameworks, biochemical reaction networks, algebraic vi-sion, and tensor decompositions. Conversely, developments on these topics inspire new questions and algorithms for algebraic geometry.
Breiding, P., Celik, T.O., Duff, T., Heaton, A., Maraj, A., Sattelberger, A.-., et al. (2023). Nonlinear algebra and applications. NUMERICAL ALGEBRA, CONTROL AND OPTIMIZATION, 13(1), 81-116 [10.3934/naco.2021045].
Nonlinear algebra and applications
Venturello L.;
2023-01-01
Abstract
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimiza-tion, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frameworks, biochemical reaction networks, algebraic vi-sion, and tensor decompositions. Conversely, developments on these topics inspire new questions and algorithms for algebraic geometry.
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https://hdl.handle.net/11365/1256085