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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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Esteban Manuel Villena-Martínez, Paola Andrea Alvizuri-Tintaya, Vanesa Gladys Lo-Iacono-Ferreira, Jaime Lora-García, Juan Ignacio Torregrosa-López, Lorena Sánchez Barrero, Alejandra Leigue Fernández and Paul D?Abzac
The accelerated deterioration of water quality in the city of Tarija, Bolivia, has caused several water sources in the Municipality of Tarija to be discontinued due to the presence of toxic contaminants. The current water purification systems that are us...
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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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Juan-Francisco Torregrosa Carmona
Pág. 559 - 561
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José A. Moreiro González
Pág. 557 - 558
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Juan-Francisco Torregrosa Carmona
Pág. 735 - 738
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