New Bounds for the Greatest Eigenvalue of a Nonnegative Matrix

Xiaoqin Liu · Dianzi Ke-ji Daxue xuebao · 2007

One of well-known results is that the greatest eigenvalue of a nonnegative matrix lies between the smallest and the largest row sum.In this paper,We obtain the new bounds for the greatest eigenvalue of a nonnegative matrix.The new bounds are sharper than the above theorem and other famous conclusions.

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