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Tsonyo M. Pavkov, Valentin G. Kabadzhov, Ivan K. Ivanov and Stoil I. Ivanov
In this paper, we provide a detailed local convergence analysis of a one-parameter family of iteration methods for the simultaneous approximation of polynomial zeros due to Ivanov (Numer. Algor. 75(4): 1193?1204, 2017). Thus, we obtain two local converge...
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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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Grzegorz Litak, Marek Borowiec and Krzysztof Da¸bek
We examine the nonlinear response of two planar pendula under external and kinematic excitations, which are very relevant as paradigmatic models in nonlinear dynamics. These pendula act under the action of an additional constant torque, and are subjected...
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Min-Young Lee and Young Ik Kim
We develop a family of three-step sixth order methods with generic weight functions employed in the second and third sub-steps for solving nonlinear systems. Theoretical and computational studies are of major concern for the convergence behavior with app...
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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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