Geodesic
Forward Error Analysis of Gaussian Elimination. Part I: Error and Residual Estimates.
Numerische Mathematik, Tome 46 (1985), pp. 365-396.

Voir la notice de l'article provenant de la source European Digital Mathematics Library

Mots-clés : forward error analysis, Gaussian elimination, linearization method, superposition, cancellation, condition numbers, optimal componentwise error and residual estimates, data perturbations, rounding errors, arithmetic floating-point operations, residual stability constants, scaling-invariant, numerical examples, backward error analysis 
@article{NUMA_1985__46_133002,
     author = {Friedrich Stummel},
     title = {Forward {Error} {Analysis} of {Gaussian} {Elimination.} {Part} {I:} {Error} and {Residual} {Estimates.}},
     journal = {Numerische Mathematik},
     pages = {365--396},
     publisher = {mathdoc},
     volume = {46},
     year = {1985},
     zbl = {0554.65032},
     url = {http://geodesic.mathdoc.fr/item/NUMA_1985__46_133002/}
}
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%D 1985
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Friedrich Stummel. Forward Error Analysis of Gaussian Elimination. Part I: Error and Residual Estimates.. Numerische Mathematik, Tome 46 (1985), pp. 365-396. http://geodesic.mathdoc.fr/item/NUMA_1985__46_133002/