On block diagonal-Schur complements of the block strictly doubly diagonally dominant matrices

Journal of inequalities and applications

Zhuo-Hong Huang¹ 

关键词: Schur complements;    block diagonal-Schur complements;    I-(II-) block strictly doubly diagonally dominant matrices;    I-(II-) block strictly doubly diagonally dominant matrices;    I-(II-) block H-matrix;    comparison matrices;    preconditioner;   

DOI  :  10.1186/s13660-015-0597-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

As is well known, the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant. In this paper, we verify the block diagonal-Schur complements of I-block strictly doubly diagonally dominant matrices are I-block strictly doubly diagonally dominant matrices, the same is true for II-block strictly doubly diagonally dominant matrices. The theoretical analysis is supported by numerical experiments.

【 授权许可】

CC BY