Solving Linear Systems via Composition of their Clans

Dmitry A. ZAITSEV

.

DOI: 10.4236/iim.2009.12012                

Abstract

The decomposition technique for linear system solution is proposed. This technique may be combined with any known method of linear system solution. An essential acceleration of computations is obtained. Methods of linear system solution depend on the set of numbers used. For integer and especially for natural numbers all the known methods are hard enough. In this case the decomposition technique described allows the exponential acceleration of computations.

Keywords

linear system, decomposition, clans, acceleration of computation

Conflicts of Interest

The authors declare no conflicts of interest.

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