Geodesic
Some ways of calculation of borders of roots of the algebraic equations
News of the Kabardin-Balkar scientific center of RAS, no. 5 (2012), pp. 13-24

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Various methods of calculation of borders of roots of any algebraic equations on the basis of use of some auxiliary (characteristic) algebraic polynoms of simple construction are offered. Some classes of the auxiliary equations having a unique positive root, distinct from one are constructed. Examples of application of borders of roots of the auxiliary equations for calculation of borders of roots of any algebraic equations are described.
Keywords: borders of roots, characteristic polynoms, complex plane.
Mots-clés : algebraic equations 
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     title = {Some ways of calculation of borders of roots of the algebraic equations},
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Kh. Kh. Kalazhokov; A. Kh. Kalazhokov. Some ways of calculation of borders of roots of the algebraic equations. News of the Kabardin-Balkar scientific center of RAS, no. 5 (2012), pp. 13-24. http://geodesic.mathdoc.fr/item/IZKAB_2012_5_a1/