Spherical continuation algorithm with spheres of variable radius to trace homotopy curves

DOI10.1007/s40819-015-0067-1OpenAlexW880417542MaRDI QIDQ2657573

Luis Hernández-Martínez, Hector Vazquez-Leal, Delia Torres-Muñoz

Publication date: 14 March 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-015-0067-1

zbMATH Keywords

path-followinghomotopy pathspherical algorithm

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (2)

Exploring the novel continuum-cancellation Leal-method for the approximate solution of nonlinear differential equations ⋮ Exploring a novel methodology for DC analysis in memristive circuits with multiple operating points

Uses Software

• HOMPACK

Cites Work

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• Efficient path tracking methods
• Solving the nonlinear equations by the Newton-homotopy continuation method with adjustable auxiliary homotopy function
• Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH)
• Algorithm 652
• Adaptive Multiprecision Path Tracking
• A locally parameterized continuation process
• A switching‐parameter algorithm for finding multiple solutions of nonlinear resistive circuits
• Finding all solutions of piecewise-linear resistive circuits using linear programming
• Simple algorithms for tracing solution curves
• Note on the end game in homotopy zero curve tracking
• A fixed-point homotopy method for solving modified nodal equations

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