On a third-order Newton-type method free of bilinear operators
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Publication:3090789
DOI10.1002/nla.654zbMath1240.49046OpenAlexW2001320646MaRDI QIDQ3090789
Sonia Busquier, Sergio Amat, Sergio Plaza, Concepción Bermúdez
Publication date: 2 September 2011
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.654
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20)
Related Items (18)
Semilocal convergence and its computational efficiency of a seventh-order method in Banach spaces ⋮ The convergence theorem for fourth-order super-Halley method in weaker conditions ⋮ Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces ⋮ Chebyshev-Halley's method on Riemannian manifolds ⋮ A Newton-type midpoint method with high efficiency index ⋮ Unnamed Item ⋮ On a bilinear operator free third order method on Riemannian manifolds ⋮ Traub-type high order iterative procedures on Riemannian manifolds ⋮ Expanding the applicability of a third order Newton-type method free of bilinear operators ⋮ Local convergence of a relaxed two-step Newton like method with applications ⋮ Semilocal convergence of a sixth-order method in Banach spaces ⋮ Unnamed Item ⋮ On two families of high order Newton type methods ⋮ Improved local convergence analysis of inexact Newton-like methods under the majorant condition ⋮ An improved semilocal convergence analysis for the Chebyshev method ⋮ On a two-step relaxed Newton-type method ⋮ A short survey on Kantorovich ⋮ R-order of convergence for the improved multi-point Chebyshev-like methods under generalized continuity condition
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