Geodesic
The quantitative conditionality criterium for the systems of linear algebraic equations
Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 3-26

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The well known conditionality criteria for systems of linear algebraic equation are shown to be unadecvate. The new criterium is propoused it is a quantitative, wich describes a loss of decimal digitals in computations. The adecvasy of this criterium is illustrated by numerical examples. The conditionality criteria are calculated for some important types of linear systems, arizing from difference schemes for differential or integral equations.
Keywords: systems of linear algebraic equations, conditionality criterium. 
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     title = {The quantitative conditionality criterium for the systems of linear algebraic equations},
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     publisher = {mathdoc},
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N. N. Kalitkin; L. F. Yukhno; L. V. Kuzmina. The quantitative conditionality criterium for the systems of linear algebraic equations. Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 3-26. http://geodesic.mathdoc.fr/item/MM_2011_23_2_a0/