Rounding errors in numerical solutions of two linear equations in two unknowns

DOI10.1002/mma.1670040135zbMath0505.65011OpenAlexW1964294954MaRDI QIDQ4742223

Friedrich Stummel

Publication date: 1982

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670040135

zbMATH Keywords

Gaussian eliminationscalingcondition numbersCramer's rulerounding error analysisGauss-Jordan algorithmdata perturbations

Mathematics Subject Classification ID

Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Perturbation Theory for Evaluation Algorithms of Arithmetic Expressions ⋮ Forward error analysis of Gaussian elimination. I: Error and residual estimates ⋮ Forward error analysis of Gaussian elimination. II: Stability theorems

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