On Matrix Polynomials with Real Roots

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dc.creatorGurvits, Leonid
dc.creatorRodman, Leiba
dc.date2004-06-21
dc.date.accessioned2026-07-07T05:09:27Z
dc.date.available2026-07-07T05:09:27Z
dc.descriptionIt is proved that the roots of combinations of matrix polynomials with real roots can be recast as eigenvalues of combinations of real symmetric matrices, under certain hypotheses. The proof is based on recent solution of the Lax conjecture. Several applications and corollaries, in particular concerning hyperbolic matrix polynomials, are presented.
dc.description9 pages, submitted
dc.identifierhttps://arxiv.org/abs/math/0406419
dc.identifierhttp://arxiv.org/abs/math/0406419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71633
dc.subjectOptimization and Control
dc.titleOn Matrix Polynomials with Real Roots
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