Convergence criterion of inexact methods for operators with Hölder continuous derivatives

DOI10.11650/twjm/1500405093zbMath1170.65042OpenAlexW4229600561MaRDI QIDQ1012938

Chong Li, Wei-Ping Shen

Publication date: 28 April 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405093

zbMATH Keywords

convergenceBanach spacesHammerstein integral equationnonlinear equationsinexact methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Numerical solutions to equations with nonlinear operators (65J15) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

Semilocal convergence analysis for the modified Newton-HSS method under the Hölder condition ⋮ Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems ⋮ Extending the applicability of the MMN-HSS method for solving systems of nonlinear equations under generalized conditions ⋮ Kantorovich-type semilocal convergence analysis for inexact Newton methods ⋮ Semilocal Convergence Analysis for MMN-HSS Methods under Hölder Conditions ⋮ Semilocal convergence analysis for inexact Newton method under weak condition ⋮ Smale's \(\alpha \)-theory for inexact Newton methods under the \(\gamma \)-condition ⋮ Kantorovich-type convergence criterion for inexact Newton methods

This page was built for publication: Convergence criterion of inexact methods for operators with Hölder continuous derivatives