This article is cited in 8 papers

The quantitative conditionality criterium for the systems of linear algebraic equations

N. N. Kalitkin, L. F. Yukhno, L. V. Kuzmina

Keldysh Institute of Applied Mathematic, Moscow

Abstract: 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.

UDC: 519.612.2

Received: 28.06.2010

 English version: Mathematical Models and Computer Simulations, 2011, 3:5, 541–556

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