五对角矩阵的一类特征值反问题

An Kind of Inverse Eigenvalue Problem for Five-Diagonal Matrix

讨论了一类由k个特征值和相应特征向量构造实对称五对角矩阵的特征值反问题.研究解的存在性以及存在解的充分必要条件,最后给出了算法和数值例子.

This paper describes a class of inverse eigenvalue problem of real symmetric five diagonal matrix constructed by the k eigenvalues and corresponding eigenvectors,and discusses the existence of solutions and their necessary and sufficient conditions,finally numerical algorithms and examples are provided.