Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices

DOI10.1007/s10444-010-9160-5zbMath1254.65057OpenAlexW2100175817MaRDI QIDQ652574

Juan Manuel Peña

Publication date: 14 December 2011

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-010-9160-5

zbMATH Keywords

complexityalgorithmSchur complement\(P\)-matrices\(H\)-matricespivotingdiagonal dominance by row

Mathematics Subject Classification ID

Related Items (7)

An infinity norm bound for the inverse of strong \(\mathrm{SDD}_1\) matrices with applications ⋮ Subdirect sums of SDD\(_1\) matrices ⋮ Some new results for \(B_1\)-matrices ⋮ On \(\mathrm{SDD}_1\) matrices ⋮ Infinity norm bounds for the inverse for \(\mathrm{GSDD}_1\) matrices using scaling matrices ⋮ A note on diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices ⋮ Discussion for \(H\)-matrices and it's application

Cites Work

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• Some remarks on a theorem of Gudkov
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• On iterative criteria for H- and non-H-matrices
• Further results on \(H\)-matrices and their Schur complements
• A Class of P-Matrices with Applications to the Localization of the Eigenvalues of a Real Matrix
• Matrix Analysis
• Scaled Pivots and Scaled Partial Pivoting Strategies
• A stable test to check if a matrix is a nonsingular $M$-matrix
• A New Iterative Criterion for H‐Matrices

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