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Fix CS1 cite error (extra text in "page" or "edition" parameter), and genfixes, added Empty section (1) tag |
→Schur-Cohn algorithm: Fix CS1 cite error (extra text in "page" or "edition" parameter), and genfixes |
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This [[algorithm]] allows to find the distribution of the zeros of a complex polynomial with respect to the [[unit circle]] in the complex plane.
<ref>{{cite journal |last1=Cohn |first1=A |title=Uber die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise. |journal=Math.Z. |date=1922 |volume=14 |pages=110–148 |doi=10.1007/BF01215894 |url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN266833020_0014&DMDID=dmdlog10}}</ref>
<ref name="Henrici">{{cite book |last1=Henrici |first1=Peter |title=Applied and computational complex analysis. Volume I: Power series- integration-conformal mapping-___location of zeros. |date=1988 |publisher=New York etc.: John Wiley |isbn=0-471-60841-6 |pages=xv + 682 |edition= Repr. of the orig., publ. 1974 by John Wiley \& Sons Ltd., Paperback
<ref>{{cite book |last1=Marden |first1=Morris |title=The geometry of the zeros of a polynomial in a complex variable. |date=1949 |publisher=Mathematical Surveys. No. 3. New York: American Mathematical Society (AMS). |page=148 }}</ref>
It is based on two auxiliary polynomials, introduced by Schur.<ref>{{cite journal |last1=Schur |first1=I |title=Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind. |journal=Journal für die reine und angewandte Mathematik (Crelle's Journal) |date=1917 |volume=1917 |issue=147 |pages=205–232 |doi=10.1515/crll.1917.147.205 |url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN00216860X}}</ref>
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