用笛卡儿分解分解的Frobenius友矩阵求多项式的零点界
Bounding the zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition
摘要：
本文给出了块$n$ -by- $n$矩阵的数值半径的一些新的不等式.作为应用，证明了利用笛卡尔分解法划分的Frobenius友矩阵来确定多项式的零点的界，并通过一个数值例子加以肯定，表明我们的方法与该领域最著名的和最近的一些结果相比是非常有效的.
英文摘要：
In this work, Some new inequalities for the numerical radius of block $n$-by-$n$ matrices are presented. As an application, bounding of zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition approach is proved and affirmed by a numerical example showing that our approach of bounding zeros of polynomials could be very effective in comparison with the most famous and some recent results presented in the field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
