Root locus of algebraic equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 2, pp. 141-150.

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The locus of real and complex roots of algebraic equations are constructed in this paper. Calculations of specific equations show that the location of their roots depends on the type of equation.
Keywords: real root, complex root, root locus, nonlinear equation with parameters.
Mots-clés : algebraic equation
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Valeriy I. Bykov; Svetlana B. Tsybenova. Root locus of algebraic equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 2, pp. 141-150. http://geodesic.mathdoc.fr/item/JSFU_2020_13_2_a1/

[1] R.Aris, Introduction to the analysis of chemical reactors, Prentice-Hall, Englewood Cliffs, NJ, USA, 1965

[2] V.I.Bykov, Modeling of critical phenomena in chemical kinetics, URSS, M., 2014 (in Russian) | MR

[3] V.I.Bykov, S.B.Tsybenova, Nonlinear models of chemical kinetics, URSS, M., 2011 (in Russian)

[4] B.V.Volter, I.E.Sal'nikov, Stability of work regimes of the chemical reactors, Khimiya, M., 1982 (in Russian)

[5] A.G. Kurosh, Course of higher algebra, Nauka, M., 1965 | MR

[6] V.I.Bykov, A.M.Kytmanov, M.Z.Lazman, Elimination methods in polynomial computer algebra, Nauka, Novosibirsk, 1991 (in Russian) | MR

[7] V.I.Bykov, A.M.Kytmanov, M.Z.Lazman, M.Passare (ed.), Elimination methods in polynomial computer algebra, Springer Science and Business Media, Netherlands, 2012 | MR

[8] B.P.Demidovich, Lectures on stability theory, Nauka, M., 1967 | MR | Zbl

[9] F.Klein, Lectures on the icosahedron and the solution of equations of the fifth degree, Dover Publ., NY, USA, 1956 | MR | Zbl

[10] F.Klein, Elementary Mathematics from an Advanced Standpoint, v. I, Arithmetic, Algebra, Analysis, Dover Publ., NY, USA, 2004 | MR

[11] F.R.Gantmakher, The theory of matrices, Nauka, M., 1967 | MR

[12] V.I.Arnold, Catastrophe theory, Znanie, M., 1981 | MR

[13] T.Poston, I.Stewart, Catastrophe theory and its applications, Dover Publ., NY, USA, 1996 | MR