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Analysis of institutional authors

Cordero, ACorresponding AuthorTorregrosa, JrAuthor

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October 28, 2024
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A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve

Publicated to: Algorithms. 16 (3): 156- - 2023-01-01 16(3), DOI: 10.3390/a16030156

Authors:

Kanwar, Vinay; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rajput, Mithil; Behl, Ramandeep
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Affiliations

Indian Inst Technol - Author
King Abdulaziz Univ, Dept Math, Math Modelling & Appl Computat Res Grp MMAC, POB 80203 - Author
Panjab Univ, Univ Inst Engn & Technol - Author
Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera s-n - Author
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Abstract

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) is known in advance. There is a plethora of third-order point-to-point methods, available in the literature; but our methods are based on geometric derivation and converge to the required zero even though derivative becomes zero or close to zero in vicinity of the required zero. We use the exponential fitted curve and tangency conditions for the development of our schemes. Well-known Chebyshev, Halley, super-Halley and Chebyshev-Halley are the special members of our schemes for m=1. Complex dynamics techniques allows us to see the relation between the element of the family of iterative schemes and the wideness of the basins of attraction of the simple and multiple roots, on quadratic polynomials. Several applied problems are considered in order to demonstrate the performance of our methods and for comparison with the existing ones. Based on the numerical outcomes, we deduce that our methods illustrate better performance over the earlier methods even though in the case of multiple roots of high multiplicity.
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Keywords

ChebyshevComplex dynamicsConditionConvergenceExponentialsIterative methodsMultiple rootsNewtons methodNonlinear equationNonlinear equationsNumerical methodsOrder of convergencePerformancePoint-to-point methodRootfindingStabilityThird order

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Algorithms due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 62/144, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Computer Science, Theory & Methods. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Numerical Analysis.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-03:

  • WoS: 3
  • Scopus: 3
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-03:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 4.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 4 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: India; Saudi Arabia.

the author responsible for correspondence tasks has been Cordero Barbero, Alicia.

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