A New Minimally Spectrally Arbitrary Sign Pattern
Yanling Shao · Journal of Shanxi University · 2008
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.We introduce a new sign pattern which is minimally spectrally arbitrary for order n≥6.