A global analysis of Newton iterations for determining turning points

DOI10.21136/am.1993.104559zbMath0806.65052OpenAlexW1408765263MaRDI QIDQ1316221

Viktor Seige, Vladimir Janovský

Publication date: 9 February 1995

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15758

zbMATH Keywords

global convergenceNewton methodturning pointssingularity theoryimperfect bifurcationbifurcation singularity

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Discrete versus continuous Newton's method: A case study
• 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
• Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations
• Characterization and Computation of Generalized Turning Points
• Non-simple Turning Points and Cusps
• On the efficiency of algorithms of analysis
• On a Reduction Process for Nonlinear Equations

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