scientific article; zbMATH DE number 3800871

zbMath0507.65020MaRDI QIDQ4745210

Florian A. Potra

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Banach spacesNewton's methodsecant methodsemi-local convergencemonotonous behaviour

Mathematics Subject Classification ID

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

Related Items (22)

Optimizing the applicability of a theorem by F. Potra for Newton-like methods ⋮ Improved convergence analysis for Newton-like methods ⋮ Directional secant-type methods for solving equations ⋮ Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences ⋮ On order-interval methods for bounding zeros of order convex operators ⋮ Inexact Newton-type methods ⋮ Error bounds for Newton-like methods under Kantorovich type assumptions, II ⋮ Newton-like methods with monotone convergence for solving nonlinear operator equations ⋮ An improved error analysis for Newton-like methods under generalized conditions ⋮ Weaker conditions for the convergence of Newton's method ⋮ Extended sufficient semilocal convergence for the secant method ⋮ Weaker convergence conditions for the secant method. ⋮ The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions ⋮ Approximating Newton-like procedures ⋮ On the convergence of generalized Newton methods and implicit functions ⋮ New improved convergence analysis for Newton-like methods with applications ⋮ Two-step Newton methods ⋮ On the secant method ⋮ On a class of secant-like methods for solving nonlinear equations ⋮ Directional Chebyshev-type methods for solving equations ⋮ On the monotone convergence of Newton's method ⋮ A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions

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