Matrix derivatives and Kronecker products for the core and generalized core inverses

We first discuss the Moore -Penrose, Drazin, core and some generalized core inverses, and then use the matrix differential calculus to newly establish matrix derivatives for some of the important matrix functions involving these generalized inverses. We present the generalized inverses of the Kronecker product of two matrices as well. (c) 2024 Elsevier Inc. All rights reserved.