The Multiplicative Inverse Eigenvalue Problem over an Algebraically Closed Field

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dc.creatorRosenthal, Joachim
dc.creatorWang, Xiaochang
dc.date2000-09-15
dc.date.accessioned2026-07-07T04:37:27Z
dc.date.available2026-07-07T04:37:27Z
dc.descriptionLet $M$ be a square matrix and let $p(t)$ be a monic polynomial of degree $n$. Let $Z$ be a set of $n\times n$ matrices. The multiplicative inverse eigenvalue problem asks for the construction of a matrix in $Z$ such that the product matrix $MZ$ has characteristic polynomial $p(t)$. In this paper we provide new necessary and sufficient conditions when $Z$ is an affine variety over an algebraically closed field.
dc.description9 Pages
dc.identifierhttps://arxiv.org/abs/math/0009163
dc.identifierhttp://arxiv.org/abs/math/0009163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59951
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subject15A29;47A75;14N05
dc.titleThe Multiplicative Inverse Eigenvalue Problem over an Algebraically Closed Field
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