Parametrization via secant length and application to path following

DOI10.1007/BF01389588zbMath0613.65052OpenAlexW1983111945MaRDI QIDQ1819543

Reinhard Menzel, Hubert Schwetlick

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/133042

zbMATH Keywords

algorithmconvergenceNewton's methodgeneralized inversecontinuation methodslocal parametrizationpaths of solutionssecant parametrization

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (2)

Updated projections in continuation methods ⋮ Bifurcations in parametric nonlinear programming

Cites Work

• Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
• On Steplength Algorithms for a Class of Continuation Methods
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
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