2024-03-28T09:19:30Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/359122021-05-21T20:59:24Zcom_10324_1129com_10324_931com_10324_894com_10324_32197com_10324_952col_10324_1193col_10324_32199
Symmetric nonnegative realizability via partitioned majorization
Johnson, Charles R.
Marijuán López, Carlos
Pisonero Pérez, Miriam
Álgebra
Simetría
Producción Científica
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.
2019-05-02T12:45:04Z
2019-05-02T12:45:04Z
2017
info:eu-repo/semantics/article
Linear and Multilinear Algebra, 2017, vol. 65, n. 7. p. 1417-1426
1563-5139
http://uvadoc.uva.es/handle/10324/35912
http://dx.doi.org/10.1080/03081087.2016.1242113
eng
https://www.tandfonline.com/doi/full/10.1080/03081087.2016.1242113
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
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