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Mathematics > Algebraic Geometry

arXiv:2108.09494 (math)
[Submitted on 21 Aug 2021]

Title:Beyond Linear Algebra

Authors:Bernd Sturmfels
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Abstract:Our title challenges the reader to venture beyond linear algebra in designing models and in thinking about numerical algorithms for identifying solutions. This article accompanies the author's lecture at the International Congress of Mathematicians 2022. It covers recent advances in the study of critical point equations in optimization and statistics, and it explores the role of nonlinear algebra in the study of linear PDE with constant coefficients.
Comments: 19 pages, 3 figures
Subjects: Algebraic Geometry (math.AG); Symbolic Computation (cs.SC); Optimization and Control (math.OC); Statistics Theory (math.ST)
Cite as: arXiv:2108.09494 [math.AG]
  (or arXiv:2108.09494v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2108.09494

Submission history

From: Bernd Sturmfels [view email]
[v1] Sat, 21 Aug 2021 11:41:45 UTC (1,101 KB)
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