2018/11/15 by Daochang Zhang, Dijana Mosić, Zhang, Daochang +3
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1811.06555
openalex publication_date 2018/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give some statements that are equivalent to the existence of group inverses of Peirce corner matrices of a 2 × 2 block matrix and its generalized Schur complements. As applications, several new results for the Drazin inverses of the generalized Schur complements and the 2 × 2 block matrix are obtained and some of them generalize several results in the literature.