给定特征向量部分分量的矩阵特征对反问题

The Inverse Problem for Symmetric TridiagonalMatrices from Its Spectrum and Eigen-Pairs of the Matrix

提出由矩阵特征向量部分分量及其全部特征值来构造对称三对角矩阵的问题．讨论了解存在和唯一的充分必要条件，且给出算法．

This paper deals with the reconstruction of symmetric tridiagonal matrices fromits specturm and mixed given data of its eigen-pairs. The necessary and sufficientconditions for the existence and uniqueness of the solution are given. Somenumerical algorithms are presented.