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High order parametric polynomial approximation of quadrics in ▫${\mathbb R}^d$▫Jaklič, Gašper ...V članku je obravnavana aproksimacija implicitno podatih kvadrik v ▫${\mathbb R}^d$▫ s parametričnimi polinomskimi hiperploskvami. Konstrukcija temelji na minimizaciji napake, ki sledi iz implicitne ... enačbe kvadrike, aproksimant pa je podan v zaključeni obliki. Obravnavan pristop prav tako minimizira normalno razdaljo med kvadriko in polinomsko hiperploskvijo. Asimptotična analiza pove,da razdalja pada vsaj eksponentno z rastočo stopnjo polinoma. Numerični primeri za prostorske kvadrike potrjujejo dobljene teoretične rezultate.Source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 388, iss. 1, 2012, str. 318-332)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16069721
Author
Jaklič, Gašper |
Kozak, Jernej |
Knez, Marjetka, 1978- |
Vitrih, Vito, 1981- |
Žagar, Emil, 1969-
Topics
matematika |
kvadrika |
stožnica |
polinomska aproksimacija |
red aproksimacije |
normalna razdalja |
mathematics |
quadric hypersurface |
conic section |
polynomial approximation |
approximation order |
normal distance
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Jaklič, Gašper | 20271 |
Kozak, Jernej | 03425 |
Knez, Marjetka, 1978- | 23467 |
Vitrih, Vito, 1981- | 27559 |
Žagar, Emil, 1969- | 19886 |
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