Nonlinear Algebra and Applications
arXiv (Cornell University)(2021)
摘要
We showcase applications of nonlinear algebra in the sciences and engineering. Our survey 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.
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关键词
Nonlinear Algebra,Polynomial Optimization,Partial Differential Equations,Algebraic Statistics,Integrable Systems,Configuration Spaces,Reaction Networks,Computer Vision,Tensor Decompositions
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