Characterizations and properties of the matrices a such that AA(−1)(L)− A(−1)(L) A are nonsingular-Reference-Cited by-同舟云学术

Characterizations and properties of the matrices a such that AA(−1)(L)− A(−1)(L) A are nonsingular

Published:2023 Issue:16 Volume:37 Page:5333-5346
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Wu Jiabao¹,Zuo Kezheng²,Gao Jiale¹,Zheng Lu³

Affiliation:

1. Department of Mathematics, School of Mathematics and Statistics, Hubei Normal University, Huangshi, China

2. Department of Mathematics, School of Mathematics and Statistics, Hubei Normal University, Huangshi, China + Teaching Section of Mathematics, Hubei Engineering Institute, Huangshi, China

3. Teaching Section of Mathematics, Hubei Engineering Institute, Huangshi, China

Abstract

In this paper, we consider the co-BD matrices, a class of matrices characterized by the invertibility of AA(?1)(L)? A(?1) (L) A, where A(?1) (L) is the Bott-Duffin inverse of A with respect to a subspace L. Different characterizations and properties of this class of matrices are given. Also, we consider some characterizations of the nonsingularity of AA(?1) (L) + A(?1) (L) A and In ? A(A(?1)(L))2A.

Publisher

National Library of Serbia

Reference28 articles.

1. J.K. Baksalary, O.M. Baksalary, Nonsingularity of linear combinations of idempotent matrices, Linear Algebra and its Application 433 (2010) 476-482.

2. O. M. Baksalary, G. Trenkler, On the projectors FF† and F†F, Applied Mathematics and Computation 217 (2011) 10213-10223.

3. A. Ben-Israel, A. Greville, Generalized inverse: Theory and Application, (2nd edition), New York : Springer-Verlag, 2003.

4. J. Benítez, V. Rakočević, Matrices A such that AA† − A†A are nonsingular, Applied Mathematics and Computation 217 (2010) 3493-3503.

5. J. Benítez, V. Rakočević, Canonical angles and limits of sequence EP and co-EP matrices, Applied Mathematics and Computation 218 (2012) 8503-8512.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Two New Matrix Classes Related to the CMP Inverse: CMP and Co-CMP Matrices;Mathematics;2023-08-28

2. New Characterizations and Representations of the Bott–Duffin Inverse;Journal of Mathematics;2023-08-01