Solving Deficient Polynomial Systems with Homotopies which Keep the Subschemes at Infinity Invariant

DOI10.2307/2008402zbMath0722.65028OpenAlexW4251911893MaRDI QIDQ3210050

Tien-Yien Li, Xiao Shen Wang

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2008402

zbMATH Keywords

homotopy continuation methodisolated solutionBézout numbertotal degreem-homogeneous deficient polynomial systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (3)

Polynomial root finding by means of continuation ⋮ Nonlinear reduction for solving deficient polynomial systems by continuation methods ⋮ A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems

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