Eigenvalue localization refinements for the Schur complement

DOI10.1016/j.amc.2012.01.058zbMath1245.15021OpenAlexW2085886596MaRDI QIDQ440714

Ljiljana Cvetković, Maja Nedović

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.058

zbMATH Keywords

Schur complementeigenvalue distribution\(H\)-matricesdiagonal scaling

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Eigenvalue localization and neville elimination ⋮ On Schur complements of Dashnic–Zusmanovich type matrices ⋮ Norm bounds for the inverse and error bounds for linear complementarity problems for {P1,P2}-Nekrasov matrices ⋮ Eigenvalue localization and pivoting strategies for Gaussian elimination ⋮ Scaling technique for partition-Nekrasov matrices ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices ⋮ Pseudospectra localizations and their applications ⋮ The Schur complement of \(P H\)-matrices ⋮ Fractional pseudospectra and their localizations ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

Cites Work

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• \(H\)-matrix theory vs. eigenvalue localization
• The dominant degree and disc theorem for the Schur complement of matrix
• Special \(H\)-matrices and their Schur and diagonal-Schur complements
• A new Geršgorin-type eigenvalue inclusion set
• 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
• Schur complements of diagonally dominant matrices
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds

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