A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative
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Publication:1963011
DOI10.1016/S0898-1221(99)00091-7zbMath0981.65067MaRDI QIDQ1963011
Publication date: 20 January 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (11)
Weaker Kantorovich type criteria for inexact Newton methods ⋮ Kantorovich-type semilocal convergence analysis for inexact Newton methods ⋮ Semilocal convergence analysis for inexact Newton method under weak condition ⋮ A new semi-local convergence theorem for the inexact Newton methods ⋮ A convergence theorem for the Newton-like methods under some kind of weak Lipschitz conditions ⋮ A convergence theorem for the inexact Newton methods based on Hölder continuous Fréchet derivative ⋮ On the local convergence of inexact Newton-type methods under residual control-type conditions ⋮ On the semilocal convergence of damped Newton's method ⋮ Smale's \(\alpha \)-theory for inexact Newton methods under the \(\gamma \)-condition ⋮ On the semilocal convergence of inexact Newton methods in Banach spaces ⋮ Kantorovich-type convergence criterion for inexact Newton methods
Cites Work
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- A new semilocal convergence theorem for Newton's method
- On the behaviour of approximate Newton methods
- On the convergence of some projection methods with perturbation
- Some notions of nonstationary multistep iteration processes
- A kantorovich-type theorem for inexact newton methods
- Inexact Newton Methods
- New results on newton-kantorovich approximations with applications to nonlinear integral equations
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