On the infinitesimal limits of the Schur complements of tridiagonal matrices

DOI10.1016/j.laa.2011.07.037zbMath1241.65030OpenAlexW2036997901MaRDI QIDQ649565

Naveen Somasunderam, Shivkumar Chandrasekaran

Publication date: 2 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.07.037

zbMATH Keywords

numerical examplesGaussian eliminationasymptotic analysisLU factorizationSchur complementstridiagonal matricespivots

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Direct numerical methods for linear systems and matrix inversion (65F05)

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Cites Work

• Perturbation bounds for the Cholesky and QR factorizations
• On the Numerical Rank of the Off-Diagonal Blocks of Schur Complements of Discretized Elliptic PDEs
• On the Perturbation of LU, Cholesky, and QR Factorizations
• A Multigrid Tutorial, Second Edition
• Accuracy and Stability of Numerical Algorithms
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