Nonlinear Algebra and Applications

Abstract

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.

References in corpus (5)

• On the toric algebra of graphical models
• Nonlinear shallow ocean wave soliton interactions on flat beaches
• Injectivity, multiple zeros, and multistationarity in reaction networks
• D-Modules and Holonomic Functions
• Symmetric ideals of the infinite polynomial ring

Cited by in corpus (2)

• Algebraic compressed sensing
• Asymptotic Log-Det Sum-of-Ranks Minimization via Tensor (Alternating) Iteratively Reweighted Least Squares