Numerically determining solutions of systems of polynomial equations

DOI10.1090/S0273-0979-1988-15639-XzbMath0651.65042OpenAlexW1981410503MaRDI QIDQ3796645

Timothy Sauer, James A. Yorke, Tien-Yien Li

Publication date: 1988

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1988-15639-x

zbMATH Keywords

homotopy methodssystem of polynomial equations

Mathematics Subject Classification ID

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

Related Items (11)

The computation of characteristic classes of lattice gauge fields ⋮ Coefficient-parameter polynomial continuation ⋮ Stability analysis for Lotka-Volterra systems based on an algorithm of real root isolation ⋮ Permanence and global stability for competitive Lotka-Volterra diffusion systems ⋮ The positive definiteness of a class of polynomials from the global stability analysis of Lotka-Volterra systems ⋮ Computing with polynomials given by black boxes for their evaluations: greatest common divisors, factorization, separation of numerators and denominators ⋮ Computing singular solutions to polynomial systems ⋮ A new approach to computing Chern classes of \(\text{U}(p)\)-valued lattice gauge fields ⋮ Permanence and global stability for cooperative Lotka-Volterra diffusion systems ⋮ Parameter identification by continuation methods ⋮ The continuation method for rational and deficient systems

Cites Work

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• Eine Methode zur Berechnung sämtlicher Lösungen von Polynomgleichungssystemen
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• Finding all solutions to polynomial systems and other systems of equations

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