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Johnson, Charles R. Marijuán López, Carlos Pisonero Pérez, Miriam 2019-05-02T12:45:04Z 2019-05-02T12:45:04Z 2017 Linear and Multilinear Algebra, 2017, vol. 65, n. 7. p. 1417-1426 1563-5139 http://uvadoc.uva.es/handle/10324/35912 10.1080/03081087.2016.1242113 A sufficient condition for symmetric nonnegative realizability of a spectrum is given in terms of (weak) majorization of a partition of the negative eigenvalues by a selection of the positive eigenvalues. If there are more than two positive eigenvalues, an additional condition, besides majorization, is needed on the partition. This generalizes observations of Suleˇımanova and Loewy about the cases of one and two positive eigenvalues, respectively. It may be used to provide insight into realizability of 5-element spectra and beyond. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2017 Taylor & Francis Attribution-NonCommercial-NoDerivatives 4.0 International Álgebra Simetría Symmetric nonnegative realizability via partitioned majorization info:eu-repo/semantics/article