GENERALIZED INVERSES, LIMITS, AND PARTITIONED MATRICES

I. Shaini, Bilall and S. Stanimirovic, Predrag (2023) GENERALIZED INVERSES, LIMITS, AND PARTITIONED MATRICES. Journal of Natural Sciences and Mathematics of UT, 8 (15-16). pp. 322-333. ISSN 2545-4072

Text JNSM 2023-322-333.pdf Download (939kB)

Abstract

Our final result is interconnectedness between the generalized inverses of partitioned matrices and limit representations of generalized inverses. These results are established using relationships between generalized Schur complements ( / ) A R g and ( / ) A T g of an appropriate partitioned matrix R ST A TU T         . Also, some essential relations are investigated between the blocks involved in generalized inverses of A and generalized inverses of the Schur complements ( / ) A R g and ( / ) A T g . Some rank equalities on generalized inverses are obtained. AMS Subj. Class.: 15A09, 15A10

Item Type:	Article
Uncontrolled Keywords:	g-inverses; partitioned matrices; limit representation.
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	04 Nov 2023 23:42
Last Modified:	04 Nov 2023 23:42
URI:	http://eprints.unite.edu.mk/id/eprint/1533

Actions (login required)

View Item