【摘要】 本文讨论了对称三对角矩阵的性质,提出了一类由特征值、特征向量来构造对称三对角矩阵的特征反问题,并给出了该反问题可解的一个充分条件及算法,还分析了数值结果。更多还原

【Abstract】 In this paper, we discuss the properties of the symmetric tridiagonal matrix. A kind of inverse eigenproblem,which is to construct an irreducible symmetric tridiagonal matrix from two eigenpairs, is raised. We obtain a sufficient condition for the problem to have a unique solution. An algorithm for solving the problem is discussed. And a numerical result has been analysed.更多还原