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Author(s): |
Chengfeng Xu, College of Science, Jiujiang University, Jiujian, China
Zhibing Liu, College of Science, Jiujiang University, Jiujian, China ;College of Mathematics Science ，Xiamen University，Xiamen, China
Kanming Wang, College of Science, Jiujiang University, Jiujian, China |
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Abstract: |
In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric doubly arrow matrices. That is, matrices which look like two arrow matrices, forward and backward, with heads against each other at the ( p, p) station, 1 ? p ? n . We give a necessary and sufficient condition for the existence of such a matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
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