Solving systems of polynomial equations by bounded and real homotopy

DOI10.1007/BF01390182zbMath0543.65030OpenAlexW1517659762MaRDI QIDQ796260

Pavol Meravý, Pavol Brunovský

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132910

zbMATH Keywords

systems of polynomial equationshomotopy methodsbounded homotopyreal homotopy

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Degree, winding number (55M25)

Related Items (12)

An efficient start system for multi-homogeneous polynomial continuation ⋮ Symmetric homotopy construction ⋮ Higher order turning points ⋮ A homotopy for solving general polynomial systems that respects m- homogeneous structures ⋮ On the solutions to polynomial systems obtained by homotopy methods ⋮ A simple homotopy for solving deficient polynomial systems ⋮ Solving Real Polynomial Systems with Real Homotopies ⋮ Unnamed Item ⋮ Bézout number calculations for multi-homogeneous polynomial systems ⋮ Computing singular solutions to polynomial systems ⋮ A Simple Homotopy Method for Determining all Isolated Solutions to Polynomial Systems ⋮ On noncharacteristic boundary conditions for discrete hyperbolic initial- boundary-value problems

Cites Work

• Stratification of real analytic mappings and images
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
• Determining All Solutions to Certain Systems of Nonlinear Equations
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