The eigenvalue distribution on Schur complements of \(H\)-matrices

DOI10.1016/j.laa.2006.09.022zbMath1126.15010OpenAlexW2091437362MaRDI QIDQ869933

Yao-Tang Li, Cheng-Xian Xu, Cheng-Yi Zhang

Publication date: 9 March 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.022

zbMATH Keywords

(strictly) diagonally dominant matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (5)

A convergence analysis of SOR iterative methods for linear systems with weak \(H\)-matrices ⋮ On Cvetković-Kostić-Varga type matrices ⋮ General \(H\)-matrices and their Schur complements ⋮ On matrices having equal spectral radius and some matrix norm ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

Cites Work

• Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices.
• Some properties on Schur complements of H-matrices and diagonally dominant matrices
• Schur complements of diagonally dominant matrices
• $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds
• Inequalities: theory of majorization and its applications
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