提出了求解大型广义陀螺特征值问题的一个高效算法。先通过平面镜象变换，把Ｎ阶反对称阵化为ｎ阶三对角形式的反对称阵，再利用这个特殊形式的反对称阵，把问题化为［ｎ／２］阶的三对角正定对称阵的普通特征值问题，大大节约了算机容量和运算时间。计算实例证实了本方法的快速和高效性。 An efficient algorithm for solving the eigenvalue problem of large generalized gyroscope is proposed. Firstly, the N-th order anti-symmetric matrix is ​​transformed into an antisymmetric matrix of t-diagonal form of n-th order by plane image transformation, and then the antisymmetric matrix of this special form is used to turn the problem into a [n / 2] The common eigenvalue problem of symmetric array greatly saves computer capacity and computing time. The calculation example confirms the fastness and high efficiency of this method.