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| In this paper, a generalized inverse eigenvalue problem for row symmetric matrices and its optimal approximate problem are considered. According to the properties of row symmetric matrices,
we obtain the general solution to the generalized inverse eigenvalue
problem for row symmetric matrices, and prove the existence and
uniqueness of the optimal approximate solution. Expressions for the
general solution and the optimal approximate solution are presented. At last, a numerical method to find the optimal approximate solution and a numerical experiment are provided. |
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| Keywords:row symmetric matrices,generalized inverse eigenvalue problem,optimal approximation |
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