New bounds for Perron root of a nonnegative matrix |
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Authors: | Jinhai Chen Weiguo Li |
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Institution: | 1. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong 2. School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, P. R. China
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Abstract: | In this paper, we obtain some new bounds for Perron root of a nonnegative matrix, which are expressed by easily calculated function in element of matrix. These new results generalize and improve the bounds of G. Frobenius 1] and H. Minc 2], and also extend the known results by Liu 6]. |
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