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Forward Error Analysis of Gaussian Elimination. Part I: Error and Residual Estimates.
Numerische Mathematik, Tome 46 (1985), pp. 365-396 Cet article a éte moissonné depuis la source European Digital Mathematics Library

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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},
     year = {1985},
     volume = {46},
     zbl = {0554.65032},
     url = {http://geodesic.mathdoc.fr/item/NUMA_1985__46_133002/}
}
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AU  - Friedrich Stummel
TI  - Forward Error Analysis of Gaussian Elimination. Part I: Error and Residual Estimates.
JO  - Numerische Mathematik
PY  - 1985
SP  - 365
EP  - 396
VL  - 46
UR  - http://geodesic.mathdoc.fr/item/NUMA_1985__46_133002/
ID  - NUMA_1985__46_133002
ER  - 
%0 Journal Article
%A Friedrich Stummel
%T Forward Error Analysis of Gaussian Elimination. Part I: Error and Residual Estimates.
%J Numerische Mathematik
%D 1985
%P 365-396
%V 46
%U http://geodesic.mathdoc.fr/item/NUMA_1985__46_133002/
%F NUMA_1985__46_133002
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/