Semilocal convergence of a sixth order iterative method for quadratic equations

DOI10.1016/j.apnum.2012.03.001zbMath1387.65049OpenAlexW2058325195MaRDI QIDQ421805

Sergio Amat, Natalia Romero, Miguel A. Hernández

Publication date: 14 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.03.001

zbMATH Keywords

iterative methodssemilocal convergencehigh convergence ordernonlinear quadratic equations

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (22)

Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency ⋮ Ball convergence of an efficient eighth order iterative method under weak conditions ⋮ Local convergence of an at least sixth-order method in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Expanding the applicability of some high order Householder-like methods ⋮ Unnamed Item ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ Local convergence for some high convergence order Newton-like methods with frozen derivatives ⋮ Ball convergence for Traub-Steffensen like methods in Banach space ⋮ Ball convergence for an eighth order efficient method under weak conditions in Banach spaces ⋮ Expanding the applicability of four iterative methods for solving least squares problems ⋮ Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative ⋮ On a family of high-order iterative methods under Kantorovich conditions and some applications ⋮ Unnamed Item ⋮ Convergence for a family of modified Chebyshev methods under weak condition ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ball convergence for an inverse free jarratt-type method under Hölder conditions ⋮ Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces ⋮ Semilocal convergence of a computationally efficient iterative method in Banach spaces under weak condition ⋮ Unified convergence for multi-point super Halley-type methods with parameters in Banach space

Cites Work

• Unnamed Item
• Newton-like methods for the computation of fixed points
• On the convergence and applications of Newton-like methods for analytic operators
• A modified Chebyshev's iterative method with at least sixth order of convergence
• A family of Chebyshev-Halley type methods in Banach spaces
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

This page was built for publication: Semilocal convergence of a sixth order iterative method for quadratic equations