Bott–Duffin core–EP inverse of matrices
Abdessalam Kara, Dijana Mosić · Linear and Multilinear Algebra · 2026
The Bott–Duffin inverse and the Bott–Duffin core inverse are generalized inverses which exist under some restrictions. In this paper, we introduce the Bott–Duffin core–EP inverse for square matrices, as a generalization of the Bott–Duffin core inverse and the Bott–Duffin inverse, which always exists. We investigate properties and characterizations of the Bott–Duffin core-EP inverse. Consequently, we get new results for the Bott–Duffin inverse, the Bott–Duffin core inverse and the core–EP inverse. Applications of the Bott–Duffin core–EP inverse are presented in proving the solvability of certain equations and one minimization problem.