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

DOI10.1186/s13660-017-1340-0zbMath1362.15015OpenAlexW2605134737WikidataQ37739141 ScholiaQ37739141MaRDI QIDQ522526

Shuanghua Luo, Wei-wei Wang, Jianxing Zhao, Cheng-Yi Zhang

Publication date: 18 April 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1340-0

zbMATH Keywords

Schur complementeigenvalue distributionGeršgorin disc separationnonstrictly diagonally dominant matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

The doubly diagonally dominant degree of the Schur complement of strictly doubly diagonally dominant matrices and its applications

Cites Work

• Classes of general \(H\)-matrices
• The Schur complements of generalized doubly diagonally dominant matrices
• Some properties on Schur complements of H-matrices and diagonally dominant matrices
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds
• Matrix theory. Basic results and techniques
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