A new start system for solving deficient polynomial systems using continuation

DOI10.1016/0096-3003(91)90059-VzbMath0743.65051OpenAlexW2076402525MaRDI QIDQ1178319

Jan Verschelde, Ann Haegemans, Marc Beckers

Publication date: 26 June 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90059-v

zbMATH Keywords

isolated zerospolynomial systemhomotopy continuation method\(m\)-homogeneous structurestart systemtarget system

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) Real polynomials: location of zeros (26C10)

Related Items (6)

An efficient start system for multi-homogeneous polynomial continuation ⋮ Symmetric homotopy construction ⋮ Polynomial root finding by means of continuation ⋮ A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems ⋮ Incomplete Gröbner basis as a preconditioner for polynomial systems ⋮ Symbolic homotopy construction

Cites Work

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• The theory of Gröbner bases
• A homotopy for solving polynomial systems
• A homotopy for solving general polynomial systems that respects m- homogeneous structures
• Computing all solutions to polynomial systems using homotopy continuation
• The Cheater’s Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equations

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