The continuation method for rational and deficient systems

DOI10.1016/0096-3003(90)90040-AzbMath0755.65052OpenAlexW2054281653MaRDI QIDQ1813839

Kevin A. O'Neil

Publication date: 25 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(90)90040-a

zbMATH Keywords

continuation methodsDeficient polynomial systemsrational systems of equations

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)

Cites Work

• Unnamed Item
• Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\)
• A homotopy for solving general polynomial systems that respects m- homogeneous structures
• Solving polynomial systems
• Coefficient-parameter polynomial continuation
• Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
• Stationary Configurations of Point Vortices
• Numerically determining solutions of systems of polynomial equations
• Computation of Critical Boundaries on Equilibrium Manifolds
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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