The Stability Group of Symmetric Toeplitz Matrices
نویسنده
چکیده
In regard to the linear subspace T (n) of n n symmetric Toeplitz matrices over the real eld, the collection S(n) of all real and orthogonal matrices Q such that QTQT 2 T (n) whenever T 2 T (n) forms a group, called the stability group of T (n). This paper shows that S(n) is nite. In fact, S(n) has exactly eight elements regardless of the dimension n. Group elements in S(n) are completely characterized.
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