论文信息 - Doubly diagonally dominant matrices

Doubly diagonally dominant matrices

We consider the class of doubly diagonally dominant matrices (A = [ ajj] E C”, ‘, la,,1 l”jjl > Ck+ i laiklCk+ jlajkl. i #j) and its subclasses. We give necessary and sufficient conditions in terms of the directed graph for an irreducibly doubly diagonally dominant matrix to be a singular matrix or to be an H-matrix. As in the case of diagonal dominance, we show that the Schur complements of doubly diagonally dominant matrices inherit this property. Moreover, we describe when a Schur complement of a strictly doubly diagonally dominant matrix is strictly diagonally dominant. 0 Elsevier Science Inc., 1997 1. PRELIMINARIES

Michael J. Tsatsomeros | M. Tsatsomeros | B. Li | Bishan Li | Bishan Li

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