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Rank of Linear and Quadratic Combinations of Matrices
Authors:
- Ch. R. Johnson,
- J. M. Pena,
- Tomasz Szulc
Abstract
In this paper, the rank of some combinations of matrices is analysed. In particular, the rank of all matrices on the line joining two rank $1$ matrices is characterized, and the rank of convex combinations of two matrices and quadratic combinations of three matrices is studied. Presented results concern the problem of robustness of rank under certain kinds of perturbations of a matrix.
- Record ID
- UAMaf0169f3497e4a09b4bb739c3518a443
- Author
- Journal series
- Electronic Journal of Linear Algebra, ISSN 1537-9582, e-ISSN 1081-3810, [1081-3810]
- Issue year
- 2020
- Vol
- 36
- Pages
- 169-176
- Publication size in sheets
- 0.50
- ASJC Classification
- DOI
- DOI:10.13001/ela.2020.4949 Opening in a new tab
- URL
- https://journals.uwyo.edu/index.php/ela/article/view/4949 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 70
- Score source
- journalList
- Score
- = 70.0, 13-01-2022, ArticleFromJournal
- Publication indicators
- = 0; : 2018 = 0.667; : 2019 (2 years) = 0.631 - 2019 (5 years) =0.640
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMaf0169f3497e4a09b4bb739c3518a443/
- URN
urn:amu-prod:UAMaf0169f3497e4a09b4bb739c3518a443
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.