实对称矩阵特征值的估计

Real Symmetric Matrix Eigenvalue Estimates

实对称矩阵最大与最小特征值的估计,对于矩阵特征值的估计和研究在理论和应用上都有极其重要的意义。本文对实对称矩阵的特征值展开研究,首先给出了实对称矩阵的特征值的上下界;其次利用Rayleigh商给出了实对称矩阵的每一个特征值的极值。

In this paper, the largest real symmetric matrix with the smallest eigenvalue of the estimation methods for matrix eigenvalue estimates and research in the theory and application of utmost importance. In this paper, real symmetric matrix eigenvalue study, first of all, given a specific real symmetric matrix eigenvalue of the overall upper and lower bounds; followed by the use of a particular business is given the real symmetric matrix eigenvalue of each specific value;