Special \(H\)-matrices and their Schur and diagonal-Schur complements

DOI10.1016/j.amc.2008.11.040zbMath1390.15110OpenAlexW2066782676MaRDI QIDQ1004183

Ljiljana Cvetković, Maja Nedović

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.040

zbMATH Keywords

Schur complement\(H\)-matricesdiagonal scaling

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (13)

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 ⋮ On Cvetković-Kostić-Varga type matrices ⋮ The Schur complement of \(\gamma\)-dominant matrices ⋮ Diagonal-Schur complements of Nekrasov matrices ⋮ Some characterizations of Nekrasov and \(S\)-Nekrasov matrices ⋮ Bounds for the determinants of Nekrasov and \(S\)-Nekrasov matrices ⋮ Eigenvalue localization refinements for the Schur complement ⋮ Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices ⋮ Scaling technique for partition-Nekrasov matrices ⋮ A generalization of S-Nekrasov matrices ⋮ The Schur complement of \(P H\)-matrices ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

Cites Work

• \(H\)-matrix theory vs. eigenvalue localization
• A new Geršgorin-type eigenvalue inclusion set
• The Schur complement and its applications
• On Nekrasov matrices
• 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
• Further results on \(H\)-matrices and their Schur complements
• Schur complements of diagonally dominant matrices
• The Nekrasov Property is Hereditary for Gaussian Elimination
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