A special extended system and a Newton-like method for simple singular nonlinear equations

DOI10.1007/BF02247881zbMath0721.65026OpenAlexW31244878MaRDI QIDQ2641081

Zhen Mei

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02247881

zbMATH Keywords

extended systemNewton's methodssimple singular solutions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Splitting iteration method for simple singular points and simple bifurcation points
• Resolving singular nonlinear equations
• An efficiently implementable Gauss-Newton-like method for solving singular nonlinear equations
• On the accurate determination of nonisolated solutions of nonlinear equations
• Continuation techniques and bifurcation problems
• Convergence of the Newton process to multiple solutions
• Convergence Rates for Newton’s Method at Singular Points
• Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots
• On Solving Nonlinear Equations with Simple Singularities or Nearly Singular Solutions
• Efficient Computation of Singular Points
• On Newton’s Method for Singular Problems

This page was built for publication: A special extended system and a Newton-like method for simple singular nonlinear equations