Mathematics Faculty Articles
The Schur Complements of Generalized Doubly Diagonally Dominant Matrices
Linear Algebra and its Applications
Comparison matrix, Diagonally dominant matrix, Doubly diagonally dominant matrix, Generalized doubly diagonally dominant matrix, M-matrix, Schur complement
As is known, the Schur complements of diagonally dominant matrices are diagonally dominant; the same is true of doubly diagonally dominant matrices. The purpose of this paper is to extend the results to the generalized doubly diagonally dominant matrices (a proper subset of H-matrices); that is, we show that the Schur complement of a generalized doubly diagonally dominant matrix is a generalized doubly diagonally dominant matrix.
Liu, Jianzhou; Huang, Yunqing; and Zhang, Fuzhen, "The Schur Complements of Generalized Doubly Diagonally Dominant Matrices" (2004). Mathematics Faculty Articles. 124.
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