Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 70, 2022 - Issue 19
Submit an article Journal homepage
154
Views
1
CrossRef citations to date
0
Altmetric
Research Article

On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses

Fernando Pablos RomoDepartamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, EspañaCorrespondence[email protected]
View further author information
Pages 3617-3632 | Received 07 Jul 2020, Accepted 29 Oct 2020, Published online: 18 Nov 2020

References

  • Drazin MP. Pseudo-inverses in associative rings and semigroups. Amer Math Monthly. 1958;65(7):506–514.
  • Campbell SL, Meyer CD Jr. Generalized inverses of linear transformations. Dover; 1991. ISBN 978-0-486-66693-8.
  • Malik SB, Thome N. On a new generalized inverse for matrices of an arbitrary index. Appl Math Comput. 2014;226(1):575–580.
  • Pablos Romo F. Group inverse of finite potent endomorphisms on arbitrary vector spaces. Oper Matrices. To appear.
  • Mosić D. Drazin-star and star-drazin matrices. Results Math. 2020;75:681. doi:10.1007/s00025-020-01191-7.
  • Pablos Romo F. On Drazin-Moore-Penrose inverses of finite potent endomorphisms. Linear Multilinear Algebra. 2019. doi:10.1080/03081087.2019.1612834.
  • Pablos Romo F. On the drazin inverse of finite potent endomorphisms. Linear Multilinear Algebra. 2019;67(10):2135–2146.
  • Tate J. Residues of differentials on curves. Ann Scient Éc Norm Sup 4a Série. 1968;1(1):149–159.
  • Argerami M, Szechtman F, Tifenbach R. On Tate's trace. Linear Multilinear Algebra. 2007;55(6):515–520.
  • Cabezas Sánchez V, Pablos Romo F. Moore-Penrose inverse of some linear maps on infinite-dimensional vector spaces. Electron J Linear Algebra. 2020;36:570–586.
  • Pablos Romo F. Core-Nilpotent decomposition and new generalized inverses of Finite Potent Endomorphisms, Linear and Multilinear Algebra 2020;68(11):2254–2275.
  • Baksalary OM, Trenkler G. Core inverse of matrices. Linear Multilinear Algebra. 2010;58(6):681–697.
  • Mitra SK, Bhimasankaram P, Malik SB. Matrix partial orders, shorted operators and applications. World Scientific Publishing Company; 2010. (Series in Algebra; 10). https://doi.org/10.1142/7170.
  • Mehdipour M, Salemi A. On a new generalized inverse of matrices. Linear Multilinear Algebra. 2018;66(5):1046–1053. doi:10.1080/03081087.2017.1336200.
  • Ferreyra F, Levis FE, Thome N. Characterizations of k-commutative equalities for some outer generalized inverses. Linear Multilinear Algebra. 2020;68(1):177–192. doi:10.1080/03081087.2018.1500994.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.