Structure variable homotopy methods for solving nonlinear systems

DOI10.1016/0096-3003(93)90088-VzbMath0804.65057OpenAlexW2077781236MaRDI QIDQ1316156

Guoqiang Han, Li-Qing Zhang

Publication date: 10 April 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90088-v

zbMATH Keywords

algorithmsquadratic convergencestructural variable homotopy methods

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

• A simple application of the homotopy method to symmetric eigenvalue problems
• Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\)
• Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques
• Optimal homotopy methods for solving nonlinear systems. I: Nonsingular homotopy paths
• Solving nonlinear equations by adaptive homotopy continuation
• The Computation of Symmetry-Breaking Bifurcation Points
• The numerical treatment of non-trivial bifurcation points
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