Real solutions to systems of polynomial equations and parameter continuation

DOI10.1515/advgeom-2015-0004zbMath1309.65056OpenAlexW2097670489WikidataQ115997130 ScholiaQ115997130MaRDI QIDQ2340223

Zachary A. Griffin, Jonathan D. Hauenstein

Publication date: 16 April 2015

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bd3129ed0ea92559f609cde3de1bc5af3041917d

zbMATH Keywords

homotopy continuationpolynomial systemdiscriminantparameter spaceenumerative geometrynumerical algebraic geometryreal solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Real algebraic and real-analytic geometry (14P99) Computational aspects in algebraic geometry (14Q99)

Related Items (6)

Exploring the potential energy landscape over a large parameter-space ⋮ Tensor decomposition and homotopy continuation ⋮ Certified predictor-corrector tracking for Newton homotopies ⋮ Conics meeting eight lines over perfect fields ⋮ A gradient descent method for solving a system of nonlinear equations ⋮ Directed acyclic decomposition of Kuramoto equations

Uses Software

• Bertini
• alphaCertified
• Paramotopy

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