A geometric analysis of Gaussian elimination. I

DOI10.1016/0024-3795(91)90337-VzbMath0723.65014OpenAlexW4205976485MaRDI QIDQ756922

Larry Neal, George D. Poole

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90337-v

zbMATH Keywords

algorithmGaussian eliminationEuclidean geometrygeometric analysis

Mathematics Subject Classification ID

Factorization of matrices (15A23) Elementary problems in Euclidean geometries (51M04) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Sign regular matrices and Neville elimination, Gaussian elimination: When is scaling beneficial!, A geometric analysis of Gaussian elimination. II, The Rook's pivoting strategy, Scaled pivoting in Gauss and Neville elimination for totally positive systems

Cites Work

• Optimally scaled matrices
• Gaussian elimination: When is scaling beneficial!
• A geometric analysis of Gaussian elimination. II
• Average-Case Stability of Gaussian Elimination
• Stability of Finite-Difference Models Containing Two Boundaries or Interfaces
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