As a elementary explore , three sn programs are written in this paper to compute a eigenvalue in deep subcritical system using different methods . the k indirect method is a common method to compute a and it has the advantage of high precision 本文编制了采用三种不同计算方法独立计算本征值的多群s _ n (离散纵标)程序，且用这三种程序初步计算了深次临界情形下的本征值。
The energy eigenvalue , eigenfunction , matrix elements of coordinate and momentum operators in energy representation , and evolution operator for a two - dimentional coupled oscillator are presented by using the general linear quantum transformation theory 摘要运用广义线性量子变换理论，给出一类二维耦合量子谐振子的能量本征值、本征函数、坐标和动量算符在能量表象中的矩阵元及演化算符。
Based on the theory of analogy of structural mechanics and optimal control , the optimal induced norm - 2 of state feedback h control is shown to be the fundamental rayleigh quotient eigenvalue in structural vibration or euler stability problems 根据结构力学与最优控制的模拟理论，指出状态反馈h控制黎卡提方程中的最优参数2 ，实质上就是结构振动或稳定理论中的瑞利商最小本征值。
State feedback greatly suit pole placement . getting optimized eigenvalue of det [ si - ( a - bk ) ] = 0 is the target of pole placement by selecting state feedback matrix k . the root of state feedback can be placed in term of the form of butterworth filter or bessel filter 极点配置就是选择状态反馈矩阵k ，使系统的本征多项式det [ si - ( a - bk ) ] = 0的本征值处于最适宜的数值上，即获得最优的根配置。
