Criteria and Schur Complements of H-matrices
Journal of Applied Mathematics and Computing
Comparison matrix, Diagonally dominant matrix, Geršgorin theorem, H-matrix, M-matrix, Schur complement
The purpose of this paper is twofold: We first present a sufficient condition for testing strictly generalized diagonally dominant matrices (i.e., H-matrices) and we claim that our criterion is superior to the existing ones. We then show that the proper subset of the H-matrices determined by the condition preserves the closure property under the Schur complement operation
Liu, Jianzhou and Zhang, Fuzhen, "Criteria and Schur Complements of H-matrices" (2010). Mathematics Faculty Articles. 48.