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

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,...

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Bibliographic Details
Published in:Journal of inequalities and applications 2015-03, Vol.2015 (1), p.1-18, Article 80
Main Author: Huang, Zhuo-Hong
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Blocking
Complement
Inequalities
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0597-4