Two inequalities for the Hadamard product of matrices

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• 作者：Linlin Zhao (1)
  
• 关键词：Hadamard product ; spectral radius ; irreducible matrix
• 刊名：Journal of Inequalities and Applications
• 出版年：2012
• 出版时间：December 2012
• 年：2012
• 卷：2012
• 期：1
• 全文大小：151KB
• 参考文献：1. Horn RA, Johnson CR: / Topics in Matrix Analysis. Cambridge University Press, Cambridge; 1985.
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  4. Liu QB, Chen GL: On two inequalities for the Hadamard product and the Fan product of matrices. / Linear Algebr Appl 2009, 431:974鈥?84. CrossRef
  5. Liu QB, Chen GL, Zhao LL: Some new bounds on the spectral radius of matrices. / Linear Algebr Appl 2010, 432:936鈥?48. CrossRef
  6. Berman A, Plemmons RJ: / Nonnegative Matrices in the Mathematical Sciences. SIAM, Philadelphia; 1994. CrossRef
  7. Kolotilina LY: Bounds for the Perron root, singularity/nonsingularity conditions, and Eigenvalue inclusion sets. / Numer Algorithm 2006, 42:247鈥?80. CrossRef
  
• 作者单位：Linlin Zhao (1)
  
  1. Department of Mathematics, Dezhou University, Dezhou, 253023, Shandong, China
  
• ISSN：1029-242X

文摘

Using a estimate on the Perron root of the nonnegative matrix in terms of paths in the associated directed graph, two new upper bounds for the Hadamard product of matrices are proposed. These bounds improve some existing results and this is shown by numerical examples. MSC 2010: 15A42; 15B34