Abstract
Let S n be the positive real symmetric matrix of order n with ( i, j) entry equal to i + j - 2 j - 1 , and let x be a positive real number. Eigenvalues of the Hadamard (or entry wise) power S n ( x ) are considered. In particular for k a positive integer, it is shown that both the Perron root and the trace of S n ( k ) are approximately equal to 4 k 4 k - 1 2 n - 2 n - 1 k .
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