Perron Complements of Strictly Generalized Doubly Diagonally Dominant Matrices

Abstract

As is known, Meyer introduced the concept of the Perron complements of nonnegative irreducible matrices. In addition, the Schur complements of generalized doubly diagonally dominant matrices were introduced by Liu etal. [Linear Algebra Appl., 378(2004): 231-244]. In this paper, properties of the Perron complement of strictly generalized doubly diagonally dominate matrices are presented.