I^2空间上线性有界紧算子的奇异值分解及其应用

The Singular-Value Decomposition of Linear Bounded Compact Operator on l^2 and Its Application

本文讨论了l^2空间的线性有界紧算子的奇异值分解问题。并利用所得的结果,给出了对力学振动系统模型方程进行修正,使之更为准确。

In this paper, the problem of Singular-Value decomposition of linear bounded compact operator is treated. As application, a method of improving the model equation of the mechanical vibrational system is given.