关于矩阵特征值的估计方法

我们知道对于矩阵的特征值的探讨，无论是在数学理论还是在工程技术上都有极为广泛的应用．但是有时候精确地计算出矩阵的特征值并不是一件容易的事，而且某些科技问题中只要求知道矩阵特征值的取值范围．所以特征值的估计也是很有意义的．本文利用矩阵的范数与测度概念及其性质来探讨短阵特征值的估计方法．

The Estimate Method of Matrix Characteristic Value

We know the discussion about matrix characteristic value is emensively used whether in mathematical theory or in engineering technology. Sometimes, however, it is not easy work to exactly calculate the matrix characteristic value, and in some certain scientific and technological problems we only need to know some other characters of matrix characteristic value, such as value scope can get the result We want in complex planes, distributed situation. Therefore, it is meaningful to estimate characteristic value. In this paper weuse the conception of matrix norm and measure and its quality to discuss the estimate method of matrix caracteristic value.