关于周期对称三对角矩阵的广义特征值反问题

On the period symmetric tridiagonal matrix inverse problem of generalized eigenvalue

在给定部分特征值、部分特征向量及附加条件下提出了一类反问题,并给出了此问题解存在性的证明及求解的算法.

We discuss the period symmetric tridiagonal matrix inverse problem of generalized eigenvalue by giving part of eigenvectors and corresponding eigenvectors, and we obtain the theorem for the solubility of this problem. We also discuss the algorithms for solving the problem.