Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind

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dc.contributor.authorKubak, Jan
dc.contributor.authorSovka, Pavel
dc.contributor.authorVlcek, Miroslav
dc.coverage.issue3cs
dc.coverage.volume26cs
dc.date.accessioned2017-09-15T08:41:56Z
dc.date.available2017-09-15T08:41:56Z
dc.date.issued2017-09cs
dc.description.abstractThis 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.en
dc.formattextcs
dc.format.extent903-913cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2017 vol. 26, č. 3, s. 903-913. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2017.0903en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/69990
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttps://www.radioeng.cz/fulltexts/2017/17_03_0903_0913.pdfcs
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectChebyshev polynomialen
dc.subjectsymmetrical Zolotarev polynomial of the first kinden
dc.subjectspectrum of Zolotarev polynomialen
dc.subjectpower expansionen
dc.subjecttrigonometric functionsen
dc.subjectforward and backward recursionen
dc.subjectbinomial coefficientsen
dc.titleEvaluation of Computing Symmetrical Zolotarev Polynomials of the First Kinden
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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