The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

Abstract The result on the Geršgorin disc separation from the origin for strictly diagonally dominant matrices and their Schur complements in (Liu and Zhang in SIAM J. Matrix Anal. Appl. 27(3):665-674, 2005) is extended to nonstrictly diagonally dominant matrices and their Schur complements, showing...

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Bibliographic Details
Main Authors: Cheng-yi Zhang, Weiwei Wang, Shuanghua Luo, Jianxing Zhao
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of Inequalities and Applications
Subjects:
Geršgorin disc separation
Schur complement
nonstrictly diagonally dominant matrices
eigenvalue distribution
Online Access:http://link.springer.com/article/10.1186/s13660-017-1340-0

Internet

http://link.springer.com/article/10.1186/s13660-017-1340-0

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