An efficient start system for multi-homogeneous polynomial continuation

DOI10.1007/BF01385710zbMath0791.65033OpenAlexW2002312285MaRDI QIDQ1326488

Charles W. Wampler

Publication date: 7 July 1994

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

Full work available at URL: https://eudml.org/doc/133775

zbMATH Keywords

homotopy continuationnonsingular solutionssystem of polynomial equationsmulti-homogeneous start systemsolution paths

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

Minimizing multi-homogeneous Bézout numbers by a local search method, A power series method for computing singular solutions to nonlinear analytic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving systems of polynomial equations by bounded and real homotopy
• A homotopy for solving polynomial systems
• A homotopy for solving general polynomial systems that respects m- homogeneous structures
• Coefficient-parameter polynomial continuation
• A new start system for solving deficient polynomial systems using continuation
• Symbolic homotopy construction