Following paths through turning points
type: Item
instance of: scholarly article
title: Following paths through turning points
zbMATH Open document ID: 0491.65033
DOI: 10.1007/BF01934450
published in: BIT
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 3772864
zbMATH Keywords: 22, 368-383 (1982)
zbMATH Keywords: continuation methods
zbMATH Keywords: homotopy method
zbMATH Keywords: predictor corrector schemes
zbMATH Keywords: path following methods
zbMATH Keywords: mildly singular points
zbMATH Keywords: steplength control
zbMATH Keywords: Newton- corrector
author: Tjalling J. Ypma
MaRDI profile type: Publication
cites work: Numerical continuation methods for nonlinear equations and bifurcation problems
cites work: Algorithms supplement
cites work: Q4191525
cites work: On Steplength Algorithms for a Class of Continuation Methods
cites work: A stepsize control for continuation methods and its special application to multiple shooting techniques
cites work: An efficient step size control for continuation methods
cites work: Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
cites work: Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
cites work: Q5652137
cites work: Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven
cites work: Solution Fields of Nonlinear Equations and Continuation Methods
cites work: Q4117285
cites work: Q3857636
cites work: Convergence and Complexity of Newton Iteration for Operator Equations
cites work: Q3899993
cites work: Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C 2 Maps [C5]
cites work: Affine invariant convergence results for Newton's method
full work available at URL: https://doi.org/10.1007/bf01934450
OpenAlex ID: W2000649075
description: scientific article; zbMATH DE number 3772864