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Estimate for the Spectral Radius of a Nonnegative Matrices and the Least Eigenvalue of a M-matrices

LÜ Hong-bin1,2, DU Yu-hui2, HE Jia-xing1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. Department of Mathematics, Beihua University, Jilin 132033, Jilin Province, China
  • Received:2004-11-30 Revised:1900-01-01 Online:2005-07-26
  • Contact: LÜ Hong-bin

Abstract: With the help of the directed graph and 1-path cover o f directed graph,we gave some new bounds for the spectral radius of a nonnegativ e matrices and the least eigenvalue of a M-matrices, so as to improve the know n corresponding results.

Key words: nonnegative matrices, M-matrices, spectral radius, eig envalue

CLC Number: 

  • O151.21