Stable LU factorization of H-matrices

DOI10.1016/0024-3795(88)90127-9zbMath0637.65022OpenAlexW2092817215MaRDI QIDQ1098556

John J. Buoni, Alan A. Ahac, D. Dale Olesky

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90127-9

zbMATH Keywords

Gaussian eliminationnumerical stabilityLU factorizationM-matrixpivotingcomparison matrixH-matricescolumn diagonally dominant

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (5)

Entrywise relative perturbation theory for nonsingular \(M\)-matrices and applications ⋮ Stability of block \(LU\) factorization for block tridiagonal block \(H\)-matrices ⋮ A stable method for the incomplete factorization of H-matrices ⋮ Schur complement of generalH-matrices ⋮ Block ILU factorization preconditioners for a block-tridiagonal \(H\)-matrix

Cites Work

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• Backward error analysis for linear systems associated with inverses of H- matrices
• On the LU factorization of M-matrices
• LU decompositions of generalized diagonally dominant matrices
• On recurring theorems on diagonal dominance
• A note on factorizations of singular M-matrices
• NOTE ON M-MATRICES
• Schur complements of diagonally dominant matrices
• $LU$ factorizations
• On the Schur complement and the LU-factorization of a matrix
• A Stable Method for the $LU$ Factorization of M-Matrices

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