Geodesic
Identification of the domain, ranges, and values of complex roots of a polynomial with complex coefficients based on stable address sorting
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 66-76

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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.
Keywords: localization of complex roots of a polynomial, domain of roots of a polynomial, calculations without losing significant figures, stable address sorting. 
@article{INTO_2019_166_a6,
     author = {Ya. E. Romm},
     title = {Identification of the domain, ranges, and values of complex roots of a polynomial with complex coefficients based on stable address sorting},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {66--76},
     publisher = {mathdoc},
     volume = {166},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_166_a6/}
}
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Ya. E. Romm. Identification of the domain, ranges, and values of complex roots of a polynomial with complex coefficients based on stable address sorting. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 66-76. http://geodesic.mathdoc.fr/item/INTO_2019_166_a6/