Enlargement procedure for resolution of singularities at singular solution of nonlinear equations

DOI10.1007/BF01462236zbMath0656.65060MaRDI QIDQ1110273

Takuya Tsuchiya

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/133243

zbMATH Keywords

Newton's methodresolution of singularitiesHilbert spacessingular solutionNumerical examplesenlargement procedure

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points ⋮ Finite element analysis for parametrized nonlinear equations around turning points

Cites Work

• On the accurate determination of nonisolated solutions of nonlinear equations
• Convergence of the Newton process to multiple solutions
• Convergence Rates for Newton’s Method at Singular Points
• Geometrically Isolated Nonisolated Solutions and Their Approximation
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