Work

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

Year: 2023

Type: article

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.

Source: Filomat

DOI: 10.2298/fil2316333w

Authors: Jiabao Wu, Kezheng Zuo, Jiale Gao, Lu Zheng

Institutions: Hubei Normal University, Hubei Engineering Institute

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: 弧传递有向图及关联置换群问题研究