A geometric analysis of Gaussian elimination. II

DOI10.1016/0024-3795(92)90432-AzbMath0765.65036OpenAlexW2140269643MaRDI QIDQ1189609

Larry Neal, George D. Poole

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90432-a

zbMATH Keywords

numerical experimentsGaussian eliminationpivoting strategyback substitution-phase error multipliers

Mathematics Subject Classification ID

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

Related Items (6)

The growth factor and efficiency of Gaussian elimination with rook pivoting ⋮ Balanced incomplete factorization preconditioner with pivoting ⋮ Parallel cross interpolation for high-precision calculation of high-dimensional integrals ⋮ Gaussian elimination: When is scaling beneficial! ⋮ A geometric analysis of Gaussian elimination. I ⋮ The Rook's pivoting strategy

Cites Work

• A geometric analysis of Gaussian elimination. I
• Gaussian elimination: When is scaling beneficial!
• The Rook's pivoting strategy
• Average-Case Stability of Gaussian Elimination
• Error Analysis of Direct Methods of Matrix Inversion
• Scaling for Numerical Stability in Gaussian Elimination
• The Accuracy of Solutions to Triangular Systems
• Modern Error Analysis
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