On a family of high-order iterative methods under Kantorovich conditions and some applications

DOI10.1155/2012/782170zbMath1273.47105OpenAlexW2169870957WikidataQ58696782 ScholiaQ58696782MaRDI QIDQ448814

Sonia Busquier, M. J. Legaz, Sergio Amat, Sergio Plaza, Concepción Bermúdez

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/782170

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25)

Related Items (10)

Robust semi-local convergence analysis for inexact Newton method ⋮ Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions ⋮ On the complexity of convergence for high order iterative methods ⋮ Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces ⋮ Expanding the applicability of high-order Traub-type iterative procedures ⋮ On a bilinear operator free third order method on Riemannian manifolds ⋮ Traub-type high order iterative procedures on Riemannian manifolds ⋮ Unnamed Item ⋮ Improved local convergence analysis of inexact Newton-like methods under the majorant condition ⋮ An improved semilocal convergence analysis for the Chebyshev method

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