摘要
对两个行列式不等式猜想给出证明.本质上使用循环矩阵的办法证明:当n为奇数时,行列式可以分解为一些二次式的乘积;当n为偶数时,行列式可以分解为一些二次式和一个一次式的乘积.
In this paper,we give a proof of two determinant inequality conjectures.Essentially,we use a cyclic matrix approach to prove that the determinant can decompose to quadratic polynomials when n is odd;the determinant can decompose to quadratic polynomials and a linear polynomial when n is even.
作者
赵斌
来栩杰
ZHAO Bin;LAI Xujie(Hailiang Senior High School,Shaoxing 311899,China;Tsinghua University,Beijing 100084,China)
出处
《湖南理工学院学报(自然科学版)》
CAS
2023年第4期6-8,共3页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
关键词
行列式
多项式不等式
循环矩阵
determinant
polynomial inequality
cyclic matrix