Piecewise linear approximation of smooth compact fibers

DOI10.1006/jcom.2002.0645zbMath1028.65054OpenAlexW2094066037MaRDI QIDQ700176

Eugene L. Allgower, Andrew John Sommese

Publication date: 30 September 2002

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e795651f285858a1d95f6352f2576121933bef1c

zbMATH Keywords

homotopy continuation methodcompact and differentiable manifoldnonlinear algebraic equation

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Set-valued and function-space-valued mappings on manifolds (58C06)

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Cites Work

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• On the computation of multi-dimensional solution manifolds of parametrized equations
• Simplicial pivoting for mesh generation of implicitly defined surfaces
• The computation of simplicial approximations of implicitly defined two- dimensional manifolds
• Piecewise linear methods for nonlinear equations and optimization
• On the Computation of Manifolds of Foldpoints for Parameter-Dependent Problems
• An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold
• An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces

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