Author:
Breiding Paul,Çelik Türkü Özlüm,Duff Timothy,Heaton Alexander,Maraj Aida,Sattelberger Anna-Laura,Venturello Lorenzo,Yürük Oǧuzhan
Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Algebra and Number Theory,Applied Mathematics,Control and Optimization,Algebra and Number Theory
Cited by
3 articles.
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1. Book Review: Invitation to nonlinear algebra;Bulletin of the American Mathematical Society;2023-10-06
2. Algebraic compressed sensing;Applied and Computational Harmonic Analysis;2023-07
3. Solving Sparse Polynomial Systems using Gröbner Bases and Resultants;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04