Trace test

DOI10.1007/s40598-018-0084-3zbMath1408.14192arXiv1608.00540OpenAlexW3037546103MaRDI QIDQ1617463

Anton Leykin, Jose Israel Rodriguez, Frank J. Sottile

Publication date: 8 November 2018

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00540

zbMATH Keywords

numerical algebraic geometrywitness settrace test

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Computational aspects of higher-dimensional varieties (14Q15)

Related Items (11)

A Numerical Approach for Computing Euler Characteristics of Affine Varieties ⋮ Estimating linear covariance models with numerical nonlinear algebra ⋮ Signatures of algebraic curves via numerical algebraic geometry ⋮ Multiprojective witness sets and a trace test ⋮ Sparse trace tests ⋮ On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials ⋮ Minimal Problems for the Calibrated Trifocal Variety ⋮ A numerical toolkit for multiprojective varieties ⋮ Border Rank Is Not Multiplicative under the Tensor Product ⋮ 96120 : The degree of the linear orbit of a cubic surface ⋮ Using monodromy to statistically estimate the number of solutions

Cites Work

• Witness sets of projections
• Théoremes de Bertini et applications
• Numerical homotopies to compute generic points on positive dimensional algebraic sets
• Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
• Decomposing Solution Sets of Polynomial Systems Using Derivatives
• Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
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