广义Jacobi矩阵特征值问题

Characteristic Value Problem For Generalized Jacobi Matrices

在科学工程运算中,很多实际问题感兴趣的是大规模矩阵的特征值求解问题,例如振动工程中的一些问题,往往可以归结为Jacobi矩阵的特征值求解问题.主要对广义Jacobi矩阵的特征值问题,也就是次对角线元素乘积为正的Jacobi矩阵的特征值问题,做了进一步的研究讨论,并得到一些重要结果.

Many practical problems in science engineering require the computation of large matrix characteristic value problems. For example, some problems in vibration engineering can be solved by the computation of the characteristic value problem for Jacobi matrix.This paper concerns mainly the characteristic value problem for generalized Jacobi matrices.A generalized Jacobi matrix has a positive product of the elements on secondary diagonal,some important results are also presented.