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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.

KEYWORDS

Symmetric doubly arrow matrix; Eigenvalue; Matrix inverse eigenvalue problem

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Autor: Chengfeng Xu, Zhibing Liu, Kanming Wang

Fuente: http://www.scirp.org/



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