论文标题
甲双曲线多项式的根
Roots of Garding hyperbolic polynomials
论文作者
论文摘要
我们探讨了甲双曲线多项式和实际稳定多项式的根源的规律性。作为应用程序，我们为Hermitian矩阵的特征值和任意矩阵的单数值获得了Sobolev类型的新规律性结果。这些结果在所有Sobolev空间中都是最佳的。
We explore the regularity of the roots of Garding hyperbolic polynomials and real stable polynomials. As an application we obtain new regularity results of Sobolev type for the eigenvalues of Hermitian matrices and for the singular values of arbitrary matrices. These results are optimal among all Sobolev spaces.
