Convergence of Newton-like-iterative methods

DOI10.1007/BF01389469zbMath0535.65029MaRDI QIDQ791279

Tjalling J. Ypma

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/132966

zbMATH Keywords

rate of convergenceNewton-like methodsradius of convergencedifference Newton-likeupdate-Newton method

Mathematics Subject Classification ID

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

Related Items (7)

Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations ⋮ A damped semismooth Newton iterative method for solving mixed linear complementarity problems ⋮ A modified Chebyshev's iterative method with at least sixth order of convergence ⋮ Third-order iterative methods under Kantorovich conditions ⋮ Local convergence of inexact Newton-like iterative methods and applications ⋮ Efficient estimation of sparse Jacobian matrices by differences ⋮ A new type of recurrence relations for the secant method^∗

Cites Work

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• Difference Newton-like methods under weak continuity conditions
• Global approximate Newton methods
• Convergence Theorems for Least-Change Secant Update Methods
• Local Convergence of Difference Newton-Like Methods
• Local Convergence of Inexact Newton Methods
• Inexact Newton Methods
• On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods

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