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A PROCEDURE TO DETERMINE ZEROES OF THE CHARACTERISTIC POLYNOMIAL
Dodić Nenad
The problem of determination of zeros of the characteristic polynomial of a linear dynamic system is considered. The problem is very important to the theory of systems, because zeros of the characteristic polynomial determine stability and behavior of a linear dynamic system. A simple but efficient procedure is proposed in order to determine all zeros of the characteristic polynomial, based on the Newton-Rhapson method and successive reduction of the polynomial power. The given examples illustrate the efficiency of the procedure.
Ključne reči: Characteristic polynomial, zeros of polynomial, system theory, linear systems, Newton-Rhapson method, numerical method, algorithm. |