一类三角矩阵的特征值反问题

Inverse Eigenvalue Problem for a Class of Triangular Matrices

对一类奇阶上三角矩阵的特征值反问题进行研究,通过两个给定特征对(λ,x),(μ,y)对矩阵的存在性及唯一性的条件进行讨论,在满足条件的前提下进行求解并给出表达式,通过数值例子验证算法的可行性.

The eigenvalue of the a class of upper triangular matrix of odd order is studied, and the feature of ex- istence and uniqueness of matrix via two given two characteristic pairs （λ,x）,（μ,y） is discussed. Further- more, the solution is built, and expression is provided under satisfied conditions. The feasibity of the calculation is exanimated by a numerical example