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Fiza Zafar, Alicia Cordero, Husna Maryam and Juan R. Torregrosa
Power flow problems can be solved in a variety of ways by using the Newton?Raphson approach. The nonlinear power flow equations depend upon voltages Vi" role="presentation">|????|Vi
V
i
and phase angle δ" role="presentation">??d
d
. An electri...
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Alicia Cordero, Javier G. Maimó, Antmel Rodríguez-Cabral and Juan R. Torregrosa
In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed class under various smooth conditions...
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Vinay Kanwar, Alicia Cordero, Juan R. Torregrosa, Mithil Rajput and Ramandeep Behl
In this paper, we present a new third-order family of iterative methods in order to compute the multiple roots of nonlinear equations when the multiplicity (m≥1)" role="presentation">(??=1)(m=1)
(
m
=
1
)
is known in advance. There is a pleth...
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Alicia Cordero, Miguel A. Leonardo Sepúlveda and Juan R. Torregrosa
In this manuscript, we propose a parametric family of iterative methods of fourth-order convergence, and the stability of the class is studied through the use of tools of complex dynamics. We obtain the fixed and critical points of the rational operator ...
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Alicia Cordero, Marlon Moscoso-Martínez and Juan R. Torregrosa
In this paper, we present a new parametric family of three-step iterative for solving nonlinear equations. First, we design a fourth-order triparametric family that, by holding only one of its parameters, we get to accelerate its convergence and finally ...
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Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi and Juan R. Torregrosa
It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial estimations. In multivariate case, ...
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