A Posteriori Error Bounds for Gaussian Elimination

DOI10.1093/imanum/2.4.377zbMath0527.65018OpenAlexW2017859179MaRDI QIDQ3042280

J. H. Wilkinson, F. W. J. Olver

Publication date: 1982

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/2.4.377

zbMATH Keywords

Gaussian eliminationmatrix inversiona posteriori error boundsrelative precision error analysis

Mathematics Subject Classification ID

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

Related Items (8)

Error-free computer solution of certain system of linear equations ⋮ On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic ⋮ In memoriam Frank W. J. Olver (1924–2013) ⋮ Converting Approximate Error Bounds into Exact Ones ⋮ Error Bounds for Linear Recurrence Relations ⋮ Evaluation of the derivative of a polynomial in Bernstein form ⋮ Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic ⋮ Strict optimal a posteriori error and residual bounds for Gaussian elimination in floating-point arithmetic

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