次对称三对角矩阵广义特征值反问题
Inverse Problem of Generalized Eigenvalue for Persymmetric Tridiagonal Matrix
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摘要: 给定部分特征值及部分特征向量,本文讨论了次对称三对角矩阵的广义特征值反问题,给出了问题可解的条件以及相应的算法和算例.Abstract: In this paper,we discussed an inverse problem of generalized eigenvalue for persymmetric triagonal matrix by giving part of eigrnvalue and corresponding eigenvectors.The solvability of the problem is discussed and the conditions of solution are given.Furthermore,numerical algorithm and the example are given.