On the Sufficient Conditions for the Solubility of Algebraic Inverse Eigenvalue Problems

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With the help of Brouwer's fixed point theorem and the relations of the eigenvalues and diagonal elements of a Hermitian matrix, we give some new sufficient conditions for the solubility of algebraic inverse eigenvalue problems.

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On the Sufficient Conditions for the Solubility of Algebraic Inverse Eigenvalue Problems. (1992). Journal of Computational Mathematics, 10(2), 171-180. https://gsp.tricubic.dev/JCM/article/view/11063