The core inverses of linear combinations of two core invertible matrices
Mengmeng Zhou, Jianlong Chen, Dingguo Wang · Linear and Multilinear Algebra · 2019
We present the core inverses of linear combinations of two core invertible matrices. Similarly, the dual core inverses of linear combinations of two dual core invertible matrices are also given. Furthermore, sufficient conditions, which guarantee that the difference of two core invertible matrices is core invertible, are presented.