Some new two-sided bounds for determinants of diagonally dominant matrices

DOI10.1186/1029-242X-2012-61zbMath1275.65025OpenAlexW2101336016WikidataQ59290722 ScholiaQ59290722MaRDI QIDQ371023

Wen Li, Yan Mei Chen

Publication date: 20 September 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-61

zbMATH Keywords

preconditioning\(M\)-matrixtwo-sided boundsdeterminantdiagonally dominant matrix

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Numerical computation of determinants (65F40) Preconditioners for iterative methods (65F08)

Related Items (1)

Perturbations of determinants of matrices

Cites Work

• The infinity norm bound for the inverse of nonsingular diagonal dominant matrices
• Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
• On Nekrasov matrices
• The convergence of the modified Gauss--Seidel methods for consistent linear systems
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs
• Bounds for determinants
• Some extensions of the improved modified Gauss–Seidel iterative method forH-matrices
• Short Communication: Two Properties of Diagonally Dominant Matrices

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