On diamond partial order, one-sided star partial orders, and 1MP-inverses-Reference-Cited by-同舟云学术

On diamond partial order, one-sided star partial orders, and 1MP-inverses

Published:2024-07-20 Issue:4 Volume:118 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Hernández M. V.,Lattanzi M. B.,Thome N.^ORCID

Abstract

AbstractThis paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In addition, the recently introduced 1MP generalized inverse and its dual are used to characterize the diamond partial order as a

$$\mathcal{G}$$

G -based one. Finally, the one-sided star partial order is investigated by using 1MP- and MP1-inverses.

Funder

Ministerio de Ciencia e Innovación

Universidad Nacional de La Pampa

Universitat Politècnica de València

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s13398-024-01645-5.pdf

Reference17 articles.

1. Arias, M.L., Maestripieri, A.: On partial orders of operators. Ann. Funct. Anal. 14(1), 1–19 (2022)

2. Baksalary, J.K., Hauke, J.: A further algebraic version of Cochran’s theorem and matrix partial orderings. Linear Algebra Appl. 127, 157–169 (1990)

3. Bapat, R.B.: Linear Algebra and Linear Models, 2nd edn. Springer, London (2000)

4. Ben-Israel, A., Greville, T.N.E.: Generalized Inverses: Theory and Applications, second. Springer-Verlag, New York (2003)

5. Burgos, M., Márquez-García, A.C., Morales-Campoy, A.: Maps preserving the diamond partial order. Appl. Math. Comput. 296, 137–147 (2017)