Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind
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Date
2017-09
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ORCID
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Referee
Mark
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Společnost pro radioelektronické inženýrství
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Abstract
This report summarize and compares with each other various methods for computing the symmetrical Zolotarev Polynomial of the first kind and its spectrum. Suitable criteria are suggested for the comparison. The best numerical stability shows the method employing Chebyshev polynomial recurrence. In case of the polynomial spectrum computation the best method is the one using the difference backward recursion introduced by M. Vlcek. Both methods are able to generate the polynomial of high degree up to, at least, 2000, using 32-bit IEEE floating point arithmetics.
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Citation
Radioengineering. 2017 vol. 26, č. 3, s. 903-913. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2017/17_03_0903_0913.pdf
https://www.radioeng.cz/fulltexts/2017/17_03_0903_0913.pdf
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Peer-reviewed
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en