2 papers
math.CA2024
Differentiation of resultants and common roots of pairs of polynomials
Mikhail Chernyavsky, Andrei Lebedev, Yurii Trubnikov
The well-known mathematical instrument for detection common roots for pairs of polynomials and multiple roots of polynomials are resultants and discriminants. For a pair of polynom…
math.CA2023
Hadamard and Vandermonde determinants and Bernoulli-Euler-Lagrange-Aitken-Nikiporets type numerical method for roots of polynomials
M. M. Chernyavskij, A. V. Lebedev, Yu. V. Trubnikov
In the article we develop Euler-Lagrange method and calculate all the roots of an arbitrary complex polynomial on the base of calculation (similar to the Bernoulli-Aitken-Ni…