![](/images/graphics-bg.png)
Determinantal Representations of the Core Inverse and Its Generalizations with Applications
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations.
New determinantal representations of the right and left core inverses, the right and left core-EP inverses, and the DMP, MPD, and CMP inverses are derived by using determinantal representations of the Moore-Penrose and Drazin inverses previously obtained by the author.
Since the Bott-Duffin inverse has close relation with the core inverse, we give its determinantal representation and its application in finding solutions of the constrained linear equations that is an analog of Cramer’s rule.
A numerical example to illustrate the main result is given.
American Psychological Association (APA)
Kyrchei, Ivan. 2019. Determinantal Representations of the Core Inverse and Its Generalizations with Applications. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1181361
Modern Language Association (MLA)
Kyrchei, Ivan. Determinantal Representations of the Core Inverse and Its Generalizations with Applications. Journal of Mathematics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1181361
American Medical Association (AMA)
Kyrchei, Ivan. Determinantal Representations of the Core Inverse and Its Generalizations with Applications. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1181361
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181361