Splitting iteration method for simple singular points and simple bifurcation points

DOI10.1007/BF02238731zbMath0689.65037MaRDI QIDQ582014

Mei Zhen

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Algorithmsingular pointsnumerical examplesHilbert spaceConvergenceFredholm operatorbifurcation pointsplitting iteration methodnull vector

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

A special extended system and a Newton-like method for simple singular nonlinear equations ⋮ A remark concerning Mei Zhen's paper on singular nonlinear equations

Uses Software

• ALCON

Cites Work

• Unnamed Item
• Computing simple bifurcation points using a minimally extended system of nonlinear equations
• Newton's method and high order singularities
• On the accurate determination of nonisolated solutions of nonlinear equations
• Characterization and Computation of Generalized Turning Points
• Tensor Methods for Nonlinear Equations
• Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots
• On Solving Nonlinear Equations with Simple Singularities or Nearly Singular Solutions
• Efficient Numerical Pathfollowing Beyond Critical Points
• The numerical treatment of non-trivial bifurcation points
• Convergence Cones Near Bifurcation

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