By applying well-known techniques such as the Gershgorin Circle Theorem and the Euler-Rayleigh method (the latter assisted by some computer algebra), we obtain new bounds for the extreme zeroes of the n-th Laguerre polynomial. It turns out that these bounds are competitive to some of the known best bounds.
CITATION STYLE
Nikolov, G., & Uluchev, R. (2019). Bounds for the extreme zeros of laguerre polynomials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11189 LNCS, pp. 243–250). Springer Verlag. https://doi.org/10.1007/978-3-030-10692-8_27
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