Représentations déterminantales effectives des polynômes univariés par les matrices flèches

dc.creatorQuarez, Ronan
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:00:41Z
dc.date.available2026-07-07T10:00:41Z
dc.descriptionWe first show the existence of an effective determinantal representation for any univariate polynomial with real coefficients. Then, we more precisely establish that any univariate polynomial with real coefficients has an effective determinantal representation with signature (r+s,s) if and only if it has at least r real roots with multiplicity. The effective determinantal representations we construct used arrow matrices.
dc.identifierhttps://arxiv.org/abs/0809.0804
dc.identifierhttp://arxiv.org/abs/0809.0804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168387
dc.subjectRings and Algebras
dc.titleReprésentations déterminantales effectives des polynômes univariés par les matrices flèches
dc.typetext

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