MATHEMATICS. MATHEMATIC MODELING

Some ways of calculation of borders of roots of the algebraic equations

Kh. Kh. Kalazhokov^a, A. Kh. Kalazhokov<sup>b

a</sup> Institute of Computer Science and Problems of Regional Management of KBSC of the Russian Academy of Sciences, 360000, KBR, Nalchik, 37-a, I. Armand street
^b Kabardin-Balkar State University named after H.M. Berbekov, 360004, KBR, Nalchik, 173, Chernyshevsky street

Abstract: 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, algebraic equations, characteristic polynoms, complex plane.

UDC: 518.5

Received: 11.04.2022

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