RT info:eu-repo/semantics/article
T1 Symmetric nonnegative realizability via partitioned majorization
A1 Johnson, Charles R.
A1 Marijuán López, Carlos
A1 Pisonero Pérez, Miriam
K1 Álgebra
K1 Simetría
AB A sufficient condition for symmetric nonnegative realizability of aspectrum is given in terms of (weak) majorization of a partition ofthe negative eigenvalues by a selection of the positive eigenvalues. Ifthere are more than two positive eigenvalues, an additional condition,besides majorization, is needed on the partition. This generalizesobservations of Suleˇımanova and Loewy about the cases of one andtwo positive eigenvalues, respectively. It may be used to provideinsight into realizability of 5-element spectra and beyond.
PB Taylor & Francis
SN 1563-5139
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/35912
UL http://uvadoc.uva.es/handle/10324/35912
LA eng
NO Linear and Multilinear Algebra, 2017, vol. 65, n. 7. p. 1417-1426
NO Producción Científica
DS UVaDOC
RD 28-nov-2024