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M-矩阵及非负矩阵Hadamard积和Fan积的特征值界的估计 被引量：10

Estimate of bounds on eigenvalues of the Hadamard product and the Fan product of matrices and nonnegative matrices
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摘要 分别给出了非奇异M-矩阵的逆矩阵和非奇异M-矩阵的Hadamard积与非奇异M-矩阵Fan积的最小特征值下界新的估计式;同时给出了非负矩阵Hadamard积的谱半径上界新的估计式;这些估计式都只依赖于矩阵的元素,易于计算.算例表明,这些估计式在一定条件下改进了现有结果. A new lower bound of the minimum eigenvalues of Hadamard product for inverse A -l of nonsingu- lar M - matrix A and nonsingular M - matrix- B, a new lower bound of the smallest eigenvalues of Fan product for nonsingular M - matrices A and B, and a new supper bound of the spectral radius of Hadamard product for non- negative matrices A and B, are given respectively. These three estimating formulas of the bounds are easier to cal- culate since they only depend on the entries of matrices A and B. The given examples show that the estimating for- mulas of the bounds are better than several known estimating formulas.
作者 周平 李耀堂
机构地区 云南大学数学与统计学院
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第1期9-14,25,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10961027)
关键词 M-矩阵 非负矩阵 HADAMARD积 Fan积 谱半径 最小特征值 M - matrix nonnegative matrix Hadamard product Fan product spectral radius smallest eigen-value
分类号 O151.21 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献20

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共引文献90

同被引文献49

  • 1黄廷祝,杨传胜.特殊矩阵分析及应用[M].北京:科学出版社,2003.
  • 2陈景良,陈向晖.特殊矩阵[M].北京:清华大学出版社,2000.130.
  • 3VARAHJ M.A lower bound for the smallest singular value of a matrix [ J ] .Linear Algebra Appl, 1975,11:3-5.
  • 4LI W. On Nekrasov matrices [ J ]. Linear Algebra Appl, 1998,28 : 187-86.
  • 5LI Y T,CHEN F B,WANG D F.New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse [ J ].Linear Algebra Appl, 2009,430:1 423-1 431.
  • 6NENAD M.Upper bounds for the infinity norm of the inverse of SDD and S-SDD matrices[ J] .Journal of Computational and Applied Mathematics, 2007,206: 666-678.
  • 7LI W.The infinity norm bound for the inverse of nonsingular diagonal dominant matrices [ J ]. Applied Mathematics Letters, 2008,21 : 258-263.
  • 8CHENG G L, HUANG T Z.An upper bound for A-1of strictly diagonally dominant M-matrices[ J] .Linear Algebra Appl, 2007,426:667-673.
  • 9WANG P. An upper bound for A- 1 of strictly diagonally dominant M- matriees [ J ]. Linear Algebra Appl, 2009,431 : 511 - 517.
  • 10HUANG T Z, ZHU Y. Estimation of for weakly chained diagonally dominant M- matrix [ J ]. Linear Algebra Appl. 2010,431 : 670-677.

引证文献10

二级引证文献30

云南大学学报（自然科学版）
2012年 第1期

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