Abstract

Characterizations and properties of the matrices a such that aa(−1)(l) − a(−1)(l) a are nonsingular

Jiabao Wu, Kezheng Zuo, Jiale Gao, Lu Zheng

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.