The estimates of diagonally dominant degree and eigenvalues distributions for the Schur complements of matrices

DOI10.1186/1029-242X-2013-431zbMath1291.15057WikidataQ59300759 ScholiaQ59300759MaRDI QIDQ2017024

Feng Wang, Yao-Tang Li

Publication date: 25 June 2014

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

zbMATH Keywords

Schur complementeigenvalue distributionmatrixdiagonally dominant degree

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

The new improved estimates of the dominant degree and disc theorem for the Schur complement of matrices ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

Cites Work

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• Invariance of the Brauer diagonal dominance in Gaussian elimination
• The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation
• The dominant degree and disc theorem for the Schur complement of matrix
• A new subclass of \(H\)-matrices
• Some interlacing properties of the Schur complement of a Hermitian matrix
• Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
• Doubly diagonally dominant matrices
• The Schur complement and its applications
• The Schur complements of generalized doubly diagonally dominant matrices
• Some properties on Schur complements of H-matrices and diagonally dominant matrices
• Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
• Schur complements of diagonally dominant matrices
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds

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