非负三对角矩阵特征值反问题
The Inverse Eigenvalue Problem for Nonnegative Tridiagonal Matrices
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摘要: 文章给出了非负三对角矩阵特征值反问题有解的几个必要条件,并且得到了三阶非负三对角矩阵特征值反问题有解的充分必要条件.Abstract: This paper gives several necessary conditions of inverse eigenvalue problem for nonnegative tridiagonal matrices.The necessary and sufficient conditions of inverse eigenvalue problem for nonnegative tridiagonal 3×3 matrices are derived.