A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates. This study allows us to compare the most famous third-order iterative processes
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
Based on the modification of family of iterative processes of Chebyshev-Halley presented by M. Kansa...
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHT...
The geometrical interpretation of a family of higher order iterative methods for solving nonlinear s...
AbstractThe geometrical interpretation of a family of higher order iterative methods for solving non...
AbstractWe analyse the classical third-order methods (Chebyshev, Halley, super-Halley) to solve a no...
AbstractA modification of some classical third order methods is studied. The main advantage of these...
Symmetries are vital in the study of physical phenomena such as quantum physics and the micro-world,...
In this paper we develop a Kantorovich-like theory for Chebyshev's method, a well known iterative me...
The aim of this paper is to establish the semilocal convergence of a family of third-order Chebyshev...
AbstractRecently, Parida and Gupta [P.K. Parida, D.K. Gupta, Recurrence relations for a Newton-like ...
AbstractIn this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly...
The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a...
The goal of this memory is the numerical solution of nonlinear equations by iterative processes. We ...
summary:Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in B...
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
Based on the modification of family of iterative processes of Chebyshev-Halley presented by M. Kansa...
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHT...
The geometrical interpretation of a family of higher order iterative methods for solving nonlinear s...
AbstractThe geometrical interpretation of a family of higher order iterative methods for solving non...
AbstractWe analyse the classical third-order methods (Chebyshev, Halley, super-Halley) to solve a no...
AbstractA modification of some classical third order methods is studied. The main advantage of these...
Symmetries are vital in the study of physical phenomena such as quantum physics and the micro-world,...
In this paper we develop a Kantorovich-like theory for Chebyshev's method, a well known iterative me...
The aim of this paper is to establish the semilocal convergence of a family of third-order Chebyshev...
AbstractRecently, Parida and Gupta [P.K. Parida, D.K. Gupta, Recurrence relations for a Newton-like ...
AbstractIn this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly...
The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a...
The goal of this memory is the numerical solution of nonlinear equations by iterative processes. We ...
summary:Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in B...
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
Based on the modification of family of iterative processes of Chebyshev-Halley presented by M. Kansa...
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHT...