Numerically intersecting algebraic varieties via witness sets

DOI10.1016/j.amc.2012.06.034zbMath1295.14054OpenAlexW1972896450WikidataQ115997388 ScholiaQ115997388MaRDI QIDQ2434875

Charles W. Wampler, Jonathan D. Hauenstein

Publication date: 31 January 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.034

zbMATH Keywords

homotopy continuationnumerical methodsdeflationpolynomial systemsintersectionirreducible algebraic setisosingular setwitness set

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Singularities in algebraic geometry (14B05) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Computational aspects in algebraic geometry (14Q99)

Related Items (4)

Isosingular sets and deflation ⋮ Unification and extension of intersection algorithms in numerical algebraic geometry ⋮ Foreword. What is numerical algebraic geometry? ⋮ A hybrid symbolic-numerical approach to the center-focus problem

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