NEW BOUNDS FOR PERRON ROOT OF A NONNEGATIVE MATRIX

  • Chen, Jinhai (Department of Mathematics, City University of Hong Kong) ;
  • Li, Weiguo (School of Mathematics and Computational Sciences, University of Petroleum)
  • Published : 2007.01.31

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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