The modify method of building minimum multitude of systems linear algebraic equations
I. V. Zubov1, V. I. Zubov2, O. A. Pustovalova3
| Annotation | The article provides modified method of constructing the minimal polynomial using solving systems of linear algebraic equations. proposed approach , without changing the basic idea of the method enables the highest power to reduce the number of calculations. If earlier to build coefficients of the minimal polynomial of the matrix $ n $ - th order with using the method it was necessary to seek the solution of linear systems algebraic equations of order $n^2\times m$, $n<m$, then modified method it is enough to look for the solution of systems of linear algebraic equations of order $n\times m$, $n<m$ |
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| Keywords | minimum polynomial, algerbraical equation, matrix, coefficient, own number |
1Professor chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru
2Post-graduate chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru
3Post-graduate chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru
Citation: I. V. Zubov , V. I. Zubov , O. A. Pustovalova , "[The modify method of building minimum multitude of systems linear algebraic equations]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:4 (2014) 90–93 (In Russian)
