Nonlinear algebra and applications

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 v...

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Veröffentlicht in:Numerical algebra, control and optimization control and optimization, 2023-03, Vol.13 (1), p.81-116
Hauptverfasser: Breiding, Paul, Çelik, Türkü Özlüm, Duff, Timothy, Heaton, Alexander, Maraj, Aida, Sattelberger, Anna-Laura, Venturello, Lorenzo, Yürük, Oǧuzhan
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Sprache:eng
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Zusammenfassung: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.
ISSN:2155-3289
2155-3297
2155-3297
DOI:10.3934/naco.2021045