In the second chapter, we deal with two types of the problem : real and complex, and analyzes the backward perturbation of eigenpair of orthogonal matrix 第二章分“实的”和“复的”两种情形,分别对正交矩阵的特征对的向后扰动问题作了研究。
Abstract : an improved inverse power method for calculating the eigenpair of a structure is presented based on the combination of the inverse power method and topological variation method of structures 文摘:将矢量逆迭代法与结构拓扑变化法结合起来,给出了一个用于求解结构特征值及特征矢量的改进的矢量逆迭代法。
An eigenvalue interlacing theorem is given and proved . each eigenpair is computed by bisection and generalized rayleigh quotient iteration . for computing all eigenvalues and eigenvectors is o ( n2r2 ), it is less than o ( n3 ), which is the computational complexity of lapack, when r n 在计算全部特征值和特征向量的情况下,算法的计算复杂性为o(n~2r~2),当rn时,优于坛一一一~一续攀遨粼望廷二生掣夔lapack的计算复杂性o(n’)。