Geodesic
Characterizations and properties of the matrices a such that aa(−1)(l) − a(−1)(l) a are nonsingular
Filomat, Tome 37 (2023) no. 16, p. 5333

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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.
DOI : 10.2298/FIL2316333W
Classification : 15A09
Keywords: Co-BD matrices, Bott-Duffin inverse, Direct sum, Subspace operation 
Jiabao Wu; Kezheng Zuo; Jiale Gao; Lu Zheng. Characterizations and properties of the matrices a such that aa(−1)(l) − a(−1)(l) a are nonsingular. Filomat, Tome 37 (2023) no. 16, p. 5333 . doi: 10.2298/FIL2316333W
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