Jacobi矩阵的一类广义特征值反问题

An Inverse Problem of Generalized Eigenvalue for Jacobi Matrix

在给定部分特征值以及对应的特征向量的前提下,以Jacob i矩阵特征值反问题为基础,提出了一类Jacob i矩阵广义特征值反问题,给出了问题有解的充要条件,并给出了算法。

An inverse problem of generalized eigenvalue for Jacobi matrix is discussed on the base of some inverse problems of Jacobi matrix by giving parts of eigenvalues and corresponding eigenvectors. And the sufficient and necessary conditions for the existence of the solution of the problem are advanced. A algorithm is provided too.