Expanding the Applicability of Some High Order Househölder-Like Methods
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena 30203, Spain
Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, USA
Departamento de Matemáticas y Computación, Universidad de La Rioja, Logroño 26004, Spain
Author to whom correspondence should be addressed.
Academic Editors: Alicia Cordero, Juan R. Torregrosa and Francisco I. Chicharro
Received: 3 April 2017 / Revised: 26 May 2017 / Accepted: 26 May 2017 / Published: 31 May 2017
This paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller
-parameters, which in turn lead to the following advantages over earlier works (and under the same computational cost): larger convergence domain; tighter error bounds on the distances involved, and at least as precise information on the location of the solution.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Amat, S.; Argyros, I.K.; Hernández-Verón, M.A.; Romero, N. Expanding the Applicability of Some High Order Househölder-Like Methods. Algorithms 2017, 10, 64.
Amat S, Argyros IK, Hernández-Verón MA, Romero N. Expanding the Applicability of Some High Order Househölder-Like Methods. Algorithms. 2017; 10(2):64.
Amat, Sergio; Argyros, Ioannis K.; Hernández-Verón, Miguel A.; Romero, Natalia. 2017. "Expanding the Applicability of Some High Order Househölder-Like Methods." Algorithms 10, no. 2: 64.
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