An extension of Gander's result for quadratic equations

DOI10.1016/J.CAM.2009.01.010zbMath1192.65067OpenAlexW2038481357MaRDI QIDQ970383

José Antonio Ezquerro, Miguel A. Hernández, Natalia Romero

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.01.010

zbMATH Keywords

integral equationnumerical examplesiterative methodspartial differential equationsemilocal convergencea priori error estimatesquadratic equations\(R\)-order of convergencehigher order convergencemajorant sequencesnonlinear operator equations in Banach spaces

Mathematics Subject Classification ID

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

Related Items (8)

Solving symmetric algebraic Riccati equations with high order iterative schemes ⋮ A convergence improvement factor and higher-order methods for solving nonlinear equations ⋮ One-point Newton-type iterative methods: a unified point of view ⋮ Numerical properties of different root-finding algorithms obtained for approximating continuous Newton's method ⋮ An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications ⋮ Third-order methods on Riemannian manifolds under Kantorovich conditions ⋮ On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros ⋮ Some higher order Newton-like methods for solving system of nonlinear equations and its applications

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