A number of assertions of the following type are proved: A Toeplitz matrix T is a circulant if and only if T has an eigenvector e with unit components. These assertions characterize the circulants (and, more generally, the ϕ circulants), as well as their Hankel counterparts, in the sets of all Toeplitz and all Hankel matrices, respectively. Bibliography: 2 titles.
Russia Toeplitz Matrix Numerical Mathematic Unit Component Hankel Matrice
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