Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00315535" target="_blank" >RIV/68407700:21230/17:00315535 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21260/17:00315535
Result on the web
<a href="https://www.radioeng.cz/fulltexts/2017/17_03_0903_0913.pdf" target="_blank" >https://www.radioeng.cz/fulltexts/2017/17_03_0903_0913.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.13164/re.2017.0903" target="_blank" >10.13164/re.2017.0903</a>

Result language
angličtina
Original language name
Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind
Original language description
This report summarize and compares various methods for computing the symmetrical Zolotarev Polynomial of the first kind and its spectrum with each other. 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. Vlček. Both methods are able to generate the polynomial of high degree up to, at least, 2000, using 32-bit IEEE floating point arithmetics.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2017
Confidentiality
C - Předmět řešení projektu podléhá obchodnímu tajemství (§ 504 Občanského zákoníku), ale název projektu, cíle projektu a u ukončeného nebo zastaveného projektu zhodnocení výsledku řešení projektu (údaje P03, P04, P15, P19, P29, PN8) dodané do CEP, jsou upraveny tak, aby byly zveřejnitelné.

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