Estimates of Majorizing Sequences in the Newton–Kantorovich Method

DOI10.1080/01630560600790793zbMath1101.65053OpenAlexW2110434975MaRDI QIDQ5485898

Filomena Cianciaruso, Espedito De Pascale

Publication date: 4 September 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600790793

zbMATH Keywords

Banach spacesnonlinear operator equationsHölder continuous derivativesNewton-Kantorovich approximation

Mathematics Subject Classification ID

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

Related Items (7)

Improved estimates on majorizing sequences for the Newton-Kantorovich method ⋮ New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems ⋮ A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations ⋮ On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions ⋮ Estimates of majorizing sequences in the Newton-Kantorovich method: a further improvement ⋮ On the convergence region of Newton's method under Hölder continuity conditions ⋮ An improved convergence analysis for the Newton–Kantorovich method using recurrence relations

Cites Work

• Convergence of the Newton-Kantorovich method under Vertgeim conditions: A new improvement
• Historical developments in convergence analysis for Newton's and Newton-like methods
• Newton–Kantorovich Approximations When the Derivative Is Hölderian: Old and New Results
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