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Roots of bivariate polynomial systems via determinantal representationsPlestenjak, Bor ; Hochstenbach, Michiel E.Podani sta determinantni upodobitvi za polinome dveh spremenljivk. Lahko jih uporabimo za računanje ničel sistemov dveh takih polinomov s prevedbo na računanje lastnih vrednosti dvoparametričnega ... problema lastnih vrednosti. Prva determinantna upodobitev, ki je primerna za skalarne in matrične polinome, uporablja matrike asimptotične velikosti ▫$n^2/4$▫, kjer je ▫$n$▫ stopnja polinoma. Druga upodobitev je primerna za skalarne polinome in uporablja matrike asimptotične velikosti ▫$n^2/6$▫. Dobljena numerična metoda za računanje ničel sistemov polinomov dveh spremenljivk je konkurenčna nekaterim obstoječim metodam za polinome stopnje manjše ali enake 10, kakor tudi za polinome z malo neničelnimi koeficienti.Source: SIAM journal on scientific computing. - ISSN 1064-8275 (Vol. 38, no. 2, 2016, str. A765-A788)Type of material - article, component part ; adult, seriousPublish date - 2016Language - englishCOBISS.SI-ID - 17644377
Author
Plestenjak, Bor |
Hochstenbach, Michiel E.
Topics
sistem dveh polinomov dveh spremenljivk |
determinantna upodobitev |
dvoparametrični problem lastnih vrednosti |
polinomski dvoparametrični problem lastnih vrednosti |
system of bivariate polynomial equations |
determinantal representation |
two-parameter eigenvalue problem |
polynomial two-parameter eigenvalue problem
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Plestenjak, Bor | 15136 |
Hochstenbach, Michiel E. | ![]() |
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