Abstract

ABSTRACT Recently, Ferreyra and Malik (Core and strongly core orthogonal matrices. Linear Multilinear Algebra. 2021;1–16. doi:10.1080/03081087.2021.1902923) have proved that if A is strongly core orthogonal to B, then and . But whether the reverse holds is an open question. In this paper, we solve the problem completely and get some new characterizations of strong core orthogonality.

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