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13.
On composite polynomial deflation by a quadratic factor
Bohte, 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.
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