RT info:eu-repo/semantics/article
T1 Ruling Out Certain 5-Spectra for the Symmetric Nonnegative Inverse Eigenvalue Problem
A1 Johnson, Charles R.
A1 Marijuán López, Carlos
A1 Pisonero Pérez, Miriam
K1 Álgebra
K1 Simetría
AB A method is developed to show that certain spectra cannot be realized for the S-NIEP. It is applied in the 5-by-5 case to rule out many spectra that were previously unresolved. These are all in the case of 3 positive and 2 negative eigenvalues as all other cases are now resolved. For spectra of the sort we discuss, a diagram is given of the spectra that are excluded here, as well as those trivially realizable, those realizable because of the trace 0 case and those that may also be excluded because of the J–L–L conditions. A small region remains unresolved; it is a very small fraction of the area of those spectra we consider.
PB Elsevier
SN 0024-3795
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/35911
UL http://uvadoc.uva.es/handle/10324/35911
LA eng
NO Linear Algebra and its Applications, 2017, vol. 512, p. 129-135
NO Producción Científica
DS UVaDOC
RD 28-nov-2024