Solving Real Polynomial Systems with Real Homotopies

DOI10.2307/2153108zbMath0779.65033OpenAlexW4245548629MaRDI QIDQ5288226

Xiao Shen Wang, Tien-Yien Li

Publication date: 15 August 1993

Full work available at URL: https://doi.org/10.2307/2153108

zbMATH Keywords

singular pointsbifurcationhomotopy methodpolynomial systemquadratic turning pointshomotopy pathsstructure of bifurcations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (12)

Homotopies for solving polynomial systems within a bounded domain ⋮ Higher order turning points ⋮ Numeric vs. symbolic homotopy algorithms in polynomial system solving: a case study ⋮ Early Ending in Homotopy Path-Tracking for Real Roots ⋮ A hybrid procedure for finding real points on a real algebraic set ⋮ A robust and efficient method for solving point distance problems by homotopy ⋮ Sweeping algebraic curves for singular solutions ⋮ A homotopy perturbation method for solving a neutron transport equation ⋮ Newton's method with deflation for isolated singularities of polynomial systems ⋮ Real Root Isolation of Polynomial Equations Based on Hybrid Computation ⋮ A Numerical Method for Computing Border Curves of Bi-parametric Real Polynomial Systems and Applications ⋮ An algorithm to initialize the search of solutions of polynomial systems

Cites Work

• Solving systems of polynomial equations by bounded and real homotopy
• The Method of Resultants for Computing Real Solutions of Polynomial Systems
• Complex Bifurcation from Real Paths
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