Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic

DOI10.1007/BF02251834zbMath0576.65036OpenAlexW110295737MaRDI QIDQ1064738

E. H. Bareiss, Jesse L. Barlow

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02251834

zbMATH Keywords

arithmeticGaussian eliminationfloating point arithmeticlogarithmicprobabilistic error analysis

Mathematics Subject Classification ID

Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Contents/Inhaltsverzeichnis ⋮ Probabilistic Error Analysis for Inner Products ⋮ A modern retrospective on probabilistic numerics ⋮ On roundoff error distributions in floating point and logarithmic arithmetic ⋮ A New Approach to Probabilistic Rounding Error Analysis ⋮ Statistical approach for highest precision numerical differentiation

Cites Work

• A Posteriori Error Bounds for Gaussian Elimination
• Beyond Floating Point
• Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic
• Loss of Significance in Floating Point Subtraction and Addition
• A New Approach to Error Arithmetic
• The Accuracy of Error Estimates for Systems of Linear Algebraic Equations
• A Note on the Stability of Gaussian Elimination
• Numerical inverting of matrices of high order
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