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Analysis of institutional authors

Prieto-Martinez, Luis FelipeCorresponding Author

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December 10, 2025
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Bi-infinite Riordan matrices: A matricial approach to multiplication and composition of formal Laurent series

Publicated to: LINEAR ALGEBRA AND ITS APPLICATIONS. 731 139-159 - 2026-11-18 731(), DOI: 10.1016/j.laa.2025.11.010

Authors:

Prieto-Martinez, Luis Felipe; Rico, Javier
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Affiliations

Comillas Pontif Univ, Inst Res Technol, ICAI Sch Engn, C Rey Francisco 4, Madrid 28008, Spain - Author
Univ Politecn Madrid, Dept Matemat Aplicada, Av Juan Herrera 4, Madrid 28040, Spain - Author

Abstract

We propose and investigate a bi-infinite matrix approach to the multiplication and composition of formal Laurent series. We generalize the concept of Riordan matrix to this bi-infinite context, obtaining matrices that are not necessarily lower triangular and are determined, not by a pair of formal power series, but by a pair of formal Laurent series. We extend the First Fundamental Theorem of Riordan Matrices to this setting, as well as the Toeplitz and Lagrange subgroups, that are subgroups of the classical Riordan group. Finally, as an illustrative example, we apply our approach to derive a classical combinatorial identity that cannot be proved using the techniques related to the classical Riordan group, showing that our generalization is not fruitless. 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
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Keywords

Bi-infinite matricesFormal laurent seriesRiordan group

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal LINEAR ALGEBRA AND ITS APPLICATIONS 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, 2026, it was in position 108/492, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

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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 2026-04-10:

  • 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: 1.
  • 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: 1 (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

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (PRIETO MARTINEZ, LUIS FELIPE) .

the author responsible for correspondence tasks has been PRIETO MARTINEZ, LUIS FELIPE.

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