Abstract
In this paper, we mainly discuss the computation of the Perron root of a nonnegative matrix. We propose an algorithm for the Perron root of nonnegative matrices by using the generalized Perron complement. Based on this algorithm, for the Perron root of a nonnegative matrix with central symmetric structure, we construct an improved algorithm, which ensures significant saving of computation and store cost. We demonstrate this by analyzing theoretically and a numerical example.
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