A NEW CLASS OF MINIMALLY SPECTRALLY ARBITRARY SIGN PATTEMS
Lei Ying-jie · Journal of Inner Mongolia Agricultural University · 2011
If every monic real polynomial of degree n can be achieved as the characteristic polynomial of some matrix B ∈Q(A),then the sign pattern A of order n is a spectrally arbitrary pattern.A sign pattern A is minimally spectrally arbitrary if it is spectrally arbitrary but is not spectrally arbitrary if any nonzero entry(or entries) of A is replaced by zero.In this paper,we introduce a new class of sign patterns which are minimally spectrally arbitrary for order.