Mathematics Faculty Articles

Title

The Schur Complements of Generalized Doubly Diagonally Dominant Matrices

Document Type

Article

Publication Date

2-1-2004

Publication Title

Linear Algebra and its Applications

Keywords

Comparison matrix, Diagonally dominant matrix, Doubly diagonally dominant matrix, Generalized doubly diagonally dominant matrix, M-matrix, Schur complement

ISSN

0024-3795

Volume

378

First Page

231

Last Page

244

Abstract

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.

Comments

Under an Elsevier user license

MSC

  • 15A48;
  • 15A45

DOI

10.1016/j.laa.2003.09.012