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arXiv · 2303.13142

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
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Abstract

In the article we develop Euler-Lagrange method and calculate all the roots of an arbitrary complex polynomial $P(z)$ on the base of calculation (similar to the Bernoulli-Aitken-Nikiporets methods) of the limits of ratios of Hadamard determinants built by means of coefficients of expansions into Taylor and Laurent series of the function~$\frac{P'(z)}{P(z)}$.

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M. M. Chernyavskij, A. V. Lebedev, Yu. V. Trubnikov. 2023-03-23. Hadamard and Vandermonde determinants and Bernoulli-Euler-Lagrange-Aitken-Nikiporets type numerical method for roots of polynomials. https://arxiv.org/abs/2303.13142

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