Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven

DOI10.1007/BF01396445zbMath0479.65031OpenAlexW278121284MaRDI QIDQ1162113

Gerd Poenisch, Hubert Schwetlick

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/132775

zbMATH Keywords

numerical exampleturning pointscubic Hermite interpolation

Mathematics Subject Classification ID

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

Related Items (9)

Nonlinear computation ⋮ Continuation methods in semiconductor device simulation ⋮ Stepsize selection in continuation procedures and damped Newton's method ⋮ Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter ⋮ A comparison of methods for determining turning points of nonlinear equations ⋮ Following paths through turning points ⋮ Numerical computational of branch points in nonlinear equations ⋮ Nonlinear Computation ⋮ A quadratically convergent method for computing simple singular roots and its application to determining simple bifurcation points

Cites Work

• Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
• A class of quadratically convergent algorithms for constrained function minimization
• A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations
• A switching‐parameter algorithm for finding multiple solutions of nonlinear resistive circuits
• A Rapidly Convergent Descent Method for Minimization
• The Application of Newton’s Method to the Problem of Elastic Stability
• The Solution of Non-Linear Equations and of Differential Equations with Two-Point Boundary Conditions
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