Strict optimal a posteriori error and residual bounds for Gaussian elimination in floating-point arithmetic

DOI10.1007/BF02253185zbMath0589.65025OpenAlexW421650457MaRDI QIDQ1074299

Friedrich Stummel

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253185

zbMATH Keywords

numbersGaussian eliminationfloating-point arithmeticrounding errorsconditionstrict optimal a posteriori error and residual bounds

Mathematics Subject Classification ID

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

Cites Work

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• Forward error analysis of Gaussian elimination. I: Error and residual estimates
• A Posteriori Error Bounds for Gaussian Elimination
• Perturbation Theory for Evaluation Algorithms of Arithmetic Expressions
• Bemerkungen zur numerischen Behandlung einer Klasse von schwach singulären Integralgleichungen 1. Art unter Verwendung von Kollokations‐ und Galerkin‐Methoden

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