Huanyin Chen

The Core Inverse of Block Anti-Triangular Matrices with Product Subblocks

We present novel explicit representations for the core inverse of block anti-triangular matrices involving core invertible product subblocks. Specifically, the corresponding EP property in each of these cases is examined.

The Generalized Core-EP Inverse for Anti-Triangular Matrices

We investigate the existence and representations of generalized core-EP inverses for a class of anti-triangular matrices over Banach *-algebras. These newly established representations naturally yield innovative formulations for the core and core-EP inverses, providing fresh insi...