Beyond linear algebra

  • Bernd Sturmfels

    Max-Planck Institute for Mathematics in the Sciences, 04103 Leipzig, Germany, and University of California, Berkeley CA 94720, USA
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This book chapter is published open access.


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 for linear PDEs with constant coefficients.