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On composite polynomial deflation by a quadratic factorBohte, Zvonimir ; Grad, Janez, 1933-Bingham je razložil metodo za stabilno redukcijo polinoma z deljenjem polinoma po padajočih in rastočih potencah ▫$x-a$▫ in s primerno spojitvijo obeh kvocientov. Peterson in Wilkinson sta uporabila ... isto idejo z novim kriterijem za stično točko. Ta točka je v določenem smislu optimalna za redukcijo z linearnimi faktorji. Ta članek obravnava manj zadovoljiv primer redukcije s kvadratičnim faktorjem. Pokazano je, da je reducirani polinom teoretično enak polinomu, ki bi ga dobili s primerno sestavljano dvakratno redukcijo s konjugirano kompleksnimi linearnimi faktorji. Podanih je nekaj numeričnih primerov. Rezultati delno osvetljujejo problem, kako stabilno reducirati polinom za kvadratični faktor.Source: Glasnik matematički. Serija 3. - ISSN 0017-095X (Let. 12(32), št. l, 1977, str. 199-208)Type of material - article, component partPublish date - 1977Language - englishCOBISS.SI-ID - 5229913
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Bohte, Zvonimir | 00158 |
Grad, Janez, 1933- | 00032 |
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