M-matrices satisfy Newton's inequalities

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dc.creatorHoltz, Olga
dc.date2005-12-27
dc.date.accessioned2026-07-07T06:55:49Z
dc.date.available2026-07-07T06:55:49Z
dc.descriptionNewton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix. They are derived by establishing first an auxiliary set of inequalities also valid for both of these classes. They are also used to derive some new necessary conditions on the eigenvalues of nonnegative matrices.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0512610
dc.identifierhttp://arxiv.org/abs/math/0512610
dc.identifierProc. Amer. Math. Soc. 133 (2005), 711-717
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106408
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject15A42, 15A15, 15A45, 15A48, 15A63, 05E05, 05A10, 05A17, 05A19, 26D05, 65F18
dc.titleM-matrices satisfy Newton's inequalities
dc.typetext

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