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M-矩阵Hadamard积的新不等式(英文)

New Inequality for the Hadamard Product of M- matrices
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摘要 设A和B是非奇异M-矩阵,给出了关于A和B-1的Hadamard积的最小特征值下界τ(A°B-1)的一个新估计式,该结果改进了文献[4]的结果. If A and B are n × n nonsingular M - matrices, a new lower bound on the smallest eigenvalue T(A°B^-1 ) for the Hadamard product of A and B^-1 is given. This bound improves the result of [4].
作者 陈付彬
出处 《数学理论与应用》 2014年第2期42-48,共7页 Mathematical Theory and Applications
基金 Supported by Scientific Research Fund of Yunnan Provincial Education Department(2013C165)
关键词 M-矩阵 不等式 HADAMARD积 最小特征值 M -matrix Inequality Hadamard product Smallest eigenvalue
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参考文献6

  • 1M. Fiedler, T.L. Markham. An inequality for the Hadamard product of an M -matrix and inverse M -matrix [J]. Linear Algebra Appl, 1988, 101:1-8.
  • 2A. Berman, R.J. Plemmons. Nonnegative Matrices in the Mathematical Sciences [ M ]. New York: Academic Press, 1979.
  • 3R.A. Horn, C.R. Johnson. Topics in Matrix Analysis[ M]. New York: Cambridge University Press, 1991.
  • 4S.C. Chen. A lower bound for the minimum eigenvalue of the Hadamard product of matrices[J]. Linear Alge- bra Appl, 2004, 378: 159- 166.
  • 5X.R. Yong, Z. Wang. On a conjecture of Fiedler and Markham[J]. Linear Algebra Appl, 1999, 288:259 - 267.
  • 6R.A. Horn, C.R. Johnson. Matrix Analysis[M]. New York: Cambridge University Press, 1985.

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