If every monic real polynomial of degree n can be achieved as the characteristic polynomial of some matrix B∈Q(A),then sign pattern A of order n is a spectrally arbitrary pattern.A sign pattern A is minimally spectra...If every monic real polynomial of degree n can be achieved as the characteristic polynomial of some matrix B∈Q(A),then 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 article,we give some new sign patterns which are minimally spectrally arbitrary for order n≥9.展开更多
基金Foundation item： the National Natural Science Foundation of China （No. 10571163） the Natural Science Foundation of Shanxi Province （No. 20041010 2007011017）.
文摘If every monic real polynomial of degree n can be achieved as the characteristic polynomial of some matrix B∈Q(A),then 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 article,we give some new sign patterns which are minimally spectrally arbitrary for order n≥9.
