An Extension of Yamamoto’s Theorem on the Eigenvalues and Singular Values of a Matrix
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چکیده
We extend, in the context of real semisimple Lie group, a result of T. Yamamoto which asserts that lim m→∞ [si(X m)]1/m = |λi(X)|, i = 1, . . . , n, where s1(X) ≥ · · · ≥ sn(X) are the singular values, and λ1(X), . . . , λn(X) are the eigenvalues of the n× n matrix X, in which |λ1(X)| ≥ · · · ≥ |λn(X)|.
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تاریخ انتشار 2005