In this paper, we present a fast and fraction free procedure for computing the inertia of Bezout matrix and we can determine the numbers of different real roots and different pairs of conjugate complex roots of a pol...In this paper, we present a fast and fraction free procedure for computing the inertia of Bezout matrix and we can determine the numbers of different real roots and different pairs of conjugate complex roots of a polynomial equation with integer coefficients quickly based on this result.展开更多
基金Supported by the Tian Yuan Special Funds of the National Natural Science Foundation of China(11626126)the Science and Technology Foundation of Jiangxi Educational Committee(GJJ150080)the Humanities and Social Science Research Project of Colleges and Universities in Jiangxi province(GL1578)
基金The research was supported by the National Natural Science Foundation of China(Grant Nos.11931018,72101059)Guangdong Natural Science Foundation(Grant No.2020A1515010924).
文摘In this paper, we present a fast and fraction free procedure for computing the inertia of Bezout matrix and we can determine the numbers of different real roots and different pairs of conjugate complex roots of a polynomial equation with integer coefficients quickly based on this result.
