Improved Numerical Method for Polynomial Roots Identification in Matlab

Identifying the roots of a polynomial is one of the standard tasks of numerical methods, which is often used in the analysis of system stability, regulation, etc. The presented article brings an improvement allowing a significant acceleration of identifying the roots of a polynomial in several special forms of the polynomial. Especially for high-order polynomials, it brings a significant acceleration of the calculation. The new method was implemented and tested in the Matlab language. The article also compares the speed with standard methods for identifying the roots of a polynomial, namely from the Matlab, Scilab, Octave and Julia environments.