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Identification of the Domain, Ranges, and Values of Complex Roots of a Polynomial with Complex Coefficients Based on Stable Address Sorting

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Abstract

In this paper, we present a method of programmatic identification of complex roots of polynomials with complex coefficients without specifying the domain of localization of their roots. The method is based on the algorithm of stable address sorting with minimal amount of calculations. Numerical ranges of the real and imaginary parts of the roots are programmatically determined, the roots are identified without loss of significant figures of the mantissa in the format of presentation of numerical data.

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Authors and Affiliations

  1. A. P. Chekhov Taganrog Institute (Branch) of the Rostov State Economic University, Taganrog, Russia

    Ya. E. Romm

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  1. Ya. E. Romm
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Correspondence to Ya. E. Romm.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 166, Proceedings of the IV International Scientific Conference “Actual Problems of Applied Mathematics,” Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, 2019.

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Romm, Y.E. Identification of the Domain, Ranges, and Values of Complex Roots of a Polynomial with Complex Coefficients Based on Stable Address Sorting. J Math Sci 260, 219–229 (2022). https://doi.org/10.1007/s10958-022-05686-2

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  • DOI: https://doi.org/10.1007/s10958-022-05686-2

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