{rfName}
Lo

Indexed in

Citations

1

Altmetrics

Analysis of institutional authors

Mas, JAuthorCorral, CAuthor

Share

October 29, 2024
Publications
>
Article
No

Low-density incomplete LDLT factorizations

Publicated to: CALCOLO. 40 (1): 55-69 - 2003-03-01 40(1), DOI: 10.1007/s100920300003

Authors:

Giménez, I; Mas, J; Corral, C
[+]

Affiliations

- Author

Abstract

A particular class of incomplete factorizations is proposed as preconditioners for the linear system Ax = b where A is a symmetric, large and sparse matrix. The ILDLT(p) factorization (p = 1, 2, 3....) determines the density of the lower triangular matrix L selecting the p largest off-diagonal entries of each column during the Gaussian elimination process. This selection may be computationally expensive, but the effectiveness of the preconditioner allows us to choose very low-density factors to reduce both work time and storage requirements. This incomplete factorization can be performed reliably on H-matrices. When A is a positive definite matrix, but not an H-matrix, one can perform an incomplete factorization if positive off-diagonal entries are removed or reduced and diagonally compensated. Numerical results for a variety of problems and comparisons with other incomplete factorizations are presented.
[+]

Keywords

Conjugate-gradient methodDensity factorElimination processFactorizationGaussian eliminationH matrixIluIncomplete factorizationIterative solutionLinear systemsLinear-equationsLower densityMatrixMatrix algebraPreconditionersSparse matricesSymmetric matricesSystemsTriangular matrix

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal CALCOLO 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, 2003, it was in position 68/173, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics. Notably, the journal is positioned en el Cuartil Q3 para la agencia Scopus (SJR) en la categoría Computational Mathematics.

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 2026-04-02:

  • Scopus: 1
[+]

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 2026-04-02:

  • 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: 3 (PlumX).
[+]

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: Last Author (Corral Ortega, Cristina).

[+]