On the Inverse Eigenvalue Problem for Real Circulant Matrices
نویسندگان
چکیده
The necessary condition for eigenvalue values of a circulant matrix is studied It is then proved that the necessary condition also su ces the existence of a circulant matrix with the prescribed eigenvalue values Introduction An n n matrix C of the form C c c cn cn c c cn cn cn c cn c c cn c is called a circulant matrix As each row of a circulant matrix is just the previous row cycled forward one step a circulant matrix is uniquely determined by the entries of its rst row We shall denote a circulant matrix by C if its rst row is In this paper we are mainly concerned with the case when R Let n denote the permutation matrix of order n
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