SDD1 Matrices and Their Generalizations

DOI10.1007/S10958-024-07100-5MaRDI QIDQ6493784

L. Yu. Kolotilina

Publication date: 29 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

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• Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• A lower bound for the smallest singular value of a matrix
• The Schur complements of generalized doubly diagonally dominant matrices
• Infinity norm bounds for the inverse for \(\mathrm{GSDD}_1\) matrices using scaling matrices
• Convergence Properties of the Spline Fit
• A note on diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices

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