On Newton's method under mild differentiability conditions and applications
From MaRDI portal
Publication:1294206
DOI10.1016/S0096-3003(98)10014-0zbMath0930.65061MaRDI QIDQ1294206
Publication date: 1 February 2000
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Hölder continuityBanach spaceNewton methodFréchet-derivativeNewton-Kantorovich methodLipschitz conditionsnonlinear Chandrasekhar integral equation
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (14)
On Newton's method under Hölder continuous derivative ⋮ Newton method under weak Lipschitz continuous derivative in Banach spaces. ⋮ The convergence ball of Newton's method and the uniqueness ball of equations under Hölder-type continuous derivatives ⋮ Newton-Kantorovich theorem for a family of modified Halley's method under Hölder continuity conditions in Banach space ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space ⋮ Semilocal convergence of Stirling's method under Hölder continuous first derivative in Banach spaces ⋮ Convergence of Stirling's method under weak differentiability condition ⋮ On the convergence of inexact Newton-like methods under mild differentiability conditions ⋮ On convergence of the modified Newton's method under Hölder continuous Fréchet derivative ⋮ On the radius of convergence of Newton's method under average mild differentiability conditions ⋮ Relaxing convergence conditions for Stirling's method ⋮ Convergence of Gauss-Newton's method and uniqueness of the solution ⋮ The theory of Newton's method
Cites Work
This page was built for publication: On Newton's method under mild differentiability conditions and applications
