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The research has been partially supported by Project MTM2010-18057, Ministerio de Ciencia e Innovacion of Spain.

Analysis of institutional authors

Dopazo, E.AuthorMartinez-Serrano, M. F.AuthorRobles, J.Author

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June 9, 2019
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Block Representations for the Drazin Inverse of Anti-Triangular Matrices

Publicated to:Filomat. 30 (14): 3897-3906 - 2016-01-01 30(14), DOI: 10.2298/FIL1614897D

Authors: Dopazo, E.; Martinez-Serrano, M. F.; Robles, J.;

Affiliations

Univ Politecn Madrid, ETS Ingenieros Informat, E-28660 Madrid, Spain - Author

Abstract

The paper is devoted to the study of the Drazin inverse of some structured matrices that appear in applications. We focus mainly on deriving formulas for the Drazin inverse of an anti-triangular block matrix M in terms of its blocks. New representations for the Drazin inverse of M are given under some conditions, that extend recent results in the literature. Additionally, these results are applied to investigate the Drazin inverse of certain structured matrices, in particular the group inverse for Hermitian matrices, and to study additive properties of the Drazin inverse.

Keywords

Additive propertiesAnti-triangular matrixBlock matrixDrazin inverseGroup inverseIndexSum

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Filomat 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, 2016, it was in position 138/311, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Mathematics (Miscellaneous).

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 5.36, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-27, the following number of citations:

  • WoS: 1
  • Scopus: 1
  • Google Scholar: 7

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 2025-07-27:

  • 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).

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.

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 (DOPAZO GONZALEZ, ESTHER) and Last Author (ROBLES SANTAMARTA, JUAN).