An algorithm for the reconstruction of a symmetric matrix from the eigenvalues of finite dimensional perturbations is given. The sufficient condition of determining the finite symmetric matrices is derived.

中文翻译：

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从有限维扰动的特征值重建实对称矩阵

给出了从有限维扰动的特征值重建对称矩阵的算法。推导出确定有限对称矩阵的充分条件。