Modification methods of building minimum polynomials
S.A. Dutov1, O.A. Zubova2, A.I. Ivanov3
Annotation | In this article is leading modification method of building minimum polynomial with help solution systems of linear algebraic equations. The proposed approach, isn't changes base idea of method is gives possibility in higher degree is reduces number of calculations. If early for building coefficients of minimum polynomial of matrix $n$ - order by employment the method sufficiently was researched the solution of systems linear algebraically equations order to $n^2\times m$, $n<m$, then in modification method for this sufficiently is researches solution of systems linear algebraically equations in order to $n\times m$, $n<m$. |
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Keywords | minimum polynomial, algerbraical equation, matrix, coefficient, own number. |
1Assistant of faculty Applied Mathematics - Process Control SPbGU, Saint-Petersburg State University, Saint-Petersburg; a_v_zubov@mail.ru
2Assistant of faculty Applied Mathematics - Process Control SPbGU, Saint-Petersburg State University, Saint-Petersburg; a_v_zubov@mail.ru
3Associate of faculty Applied Mathematics - Process Control SPbGU, Saint-Petersburg State University, Saint-Petersburg; a_v_zubov@mail.ru
Citation: S.A. Dutov , O.A. Zubova , A.I. Ivanov , "[Modification methods of building minimum polynomials]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 250–254 (In Russian)