【摘要】 本文对求工程特征值问题的矩阵反迭代法作了改进。改进后的方法特点是：逐次截取部分向量作Ｒａｙｌｅｉｇｈ商移位反迭代；采用了恰当的移位跟踪策略和更合理的选取初始迭代向量的方法；能较迅速地求出数十阶固有频率而不会丢根。已成功地应用于管道系统特征值计算更多还原

【Abstract】 New algorithm of matrix inverse iteration on the eigenvalue problem are presented in this paper. Its superior properties are mainly expressed as follows: 1) The choice of starting iteration vectors are more reasonable, 2) Through cutting partial vectors step by step, Rayleigh quotient is shiftinginverse iterated and the stifting amount can be controlled according to the proper adjusting strategies, 3) The natural frequencies can be solved efficiently and the roots cant be lost. As an example, eigenvalues of the pipeline system in highspeed machine are successfuly calculated.更多还原