Difference Newton-like methods under weak continuity conditions

DOI10.1007/BF02243075zbMath0526.65038OpenAlexW334649936MaRDI QIDQ594543

Tjalling J. Ypma

Publication date: 1984

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243075

zbMATH Keywords

Newton-like methodsdifference approximationlocal convergence analysis

Mathematics Subject Classification ID

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

Related Items

Efficient estimation of sparse Jacobian matrices by differences ⋮ Convergence of Newton-like-iterative methods

Uses Software

• ve08

Cites Work

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• Local convergence analysis for partitioned quasi-Newton updates
• Newton's method under mild differentiability conditions with error analysis
• Local Convergence of Difference Newton-Like Methods
• Computing Forward-Difference Intervals for Numerical Optimization
• Local Convergence of Inexact Newton Methods
• Theory of Multivariate Secant Methods
• Inexact Newton Methods
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods