Hadamard and Vandermonde determinants and Ber-noulli – Euler – Lagrange – Aitken – Nikiporets type numerical method for roots of polynomials

Chernyavskij, M. M.; Lebedev, A. V.; Trubnikov, Yu. V.

Please use this identifier to cite or link to this item: https://rep.vsu.by/handle/123456789/41357

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DC Field	Value	Language
dc.contributor.author	Chernyavskij, M. M.	-
dc.contributor.author	Lebedev, A. V.	-
dc.contributor.author	Trubnikov, Yu. V.	-
dc.date.accessioned	2024-01-15T13:22:37Z	-
dc.date.available	2024-01-15T13:22:37Z	-
dc.date.issued	2023	-
dc.identifier.citation	Chernyavskij, M. M. Hadamard and Vandermonde determinants and Ber-noulli – Euler – Lagrange – Aitken – Nikiporets type numerical method for roots of polynomials : article preprint [Electronic resource] / M. M. Chernyavskij, A. V. Lebedev, Yu. V. Trubnikov // arXiv > math > arXiv:2303.13142. – 2023. – doi.org/10.48550/arXiv.2303.13142. – Mode of access: https://arxiv.org/abs/2303.13142. – Date of access: 15.01.2024.	ru_RU
dc.identifier.uri	https://rep.vsu.by/handle/123456789/41357	-
dc.description.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.	ru_RU
dc.language.iso	en	ru_RU
dc.subject	root of a polynomial	ru_RU
dc.subject	Hadamard determinant	ru_RU
dc.subject	Vandermonde determinant	ru_RU
dc.subject	Taylor series	ru_RU
dc.subject	Laurent series	ru_RU
dc.title	Hadamard and Vandermonde determinants and Ber-noulli – Euler – Lagrange – Aitken – Nikiporets type numerical method for roots of polynomials	ru_RU
dc.type	Article	ru_RU
Appears in Collections:	Научные публикации (2023)