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《Journal of Taiyuan Normal University(Natural Science Edition)》 2011-01
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A Class of Minimally Spectrally Arbitrary Sign Pattern

Wang Wenjuan Gao Yubin(Department of Mathematics,North University of China,Taiyuan 030051,China)  
Let A be a sign pattern matrix of order n.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 minimally spectrally arbitrary sign patterns for all orders n≥7.
【Fund】: 山西省自然科学基金资助项目(2008011009)
【CateGory Index】: O151.21
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