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非负矩阵Hadamard积和M矩阵Fan积特征值的新界值 被引量：2

The New Bounds on the Eigenvalues of the Hadamard Product of Nonnegative Matrices and the Fan Product of M Matrices
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摘要 把2个非负矩阵Hadamard积谱半径以及M矩阵的Fan积的最小特征值的估计推广到多个矩阵,得到新的界值估计式,数值算例表明所得的估计式在一定条件下比现有的估计式更为精确. A new upper bound of spectral radius of Hadamard product and a new bound for the minimum eigenvalue of Fan product of more matrices are obtained on the basis of two matrices.Numerical examples show that these new bounds are more accurate than several known estimating formulas.
作者 李华
机构地区 河南城建学院数理系
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2013年第4期425-427,共3页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 河南省科技计划(112400450212) 河南省教育厅自然科学研究(2011A110002)资助项目
关键词 非负矩阵 HADAMARD积 谱半径 M矩阵 Fan积 nonnegative matrices Hadamard product spectral radius M matrices Fan product
分类号 O151.21 [理学—基础数学]
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参考文献12

  • 1Horn R A, Johnson C R. Topics in matrix analysis [ M ]. Cambridge: Cambridge University Press, 1985.
  • 2Karlin S, Ost F. Some monotonicity properties of Schur powers of matrices and related inequalities [ J ]. Lin Alg Appl, 1985,68( 1 ) :47-65.
  • 3Cheng Guanghui, Cheng Xiaoyu, Huang Tingzhu, et al. Some bounds for the spectral radius of the Hadamard prod- uct of nonnegative matrices [ J ]. Applied Mathematics Enotes, 2005 ( 5 ) : 202 -209.
  • 4Fang Maozhong. Bounds on the eigenvalues of the Had- amard product and the Fan product of matrices [ J ]. Lin Alg App1,2007,425( 1 ) :7-15.
  • 5杜琨.矩阵Hadamard积和Fan积特征值的界[J].华东师范大学学报（自然科学版）,2008(5):45-50. 被引量：21
  • 6Huang Rong. Some inequalities for the Hadamard product and the Fan product of matrices [ J ]. Lin Alg App1,2008, 428(7) : 1551-1559.
  • 7Liu Qingbin, Chen Guoliang. On two inequalities for the Hadamard product and the Fan product of matrices [ J ]. Lin Alg Appl,2009,431 (5/6/7) :974-984.
  • 8丁树良.两个非负定阵的Hadamard积的估计[J].江西师范大学学报（自然科学版）,1994,18(3):212-217. 被引量：2
  • 9Li Yaotang, Li Yanyan, Wang Ruiwu, et al. Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices [ J ]. Lin Alg Appl, 2010,432 ( 2/ 3 ) :536-545.
  • 10周平,李耀堂.非负矩阵Hadamard积和M-矩阵Fan积的特征值界的估计[J].纯粹数学与应用数学,2012,28(6):826-833. 被引量：6

二级参考文献13

  • 1程光辉,成孝予,黄廷祝.M-矩阵和H-矩阵在Fan积下的Oppenheim型不等式[J].纯粹数学与应用数学,2006,22(2):253-255. 被引量：4
  • 2陈景良;陈向晖.特殊矩阵[M]北京:清华大学出版社,2000.
  • 3Horn R A,Johnson C R. Topic in Matrix Analysis[M].New York:cambridge University Press,1991.
  • 4Ljiljana Cvetkovic. H-matrix theory and eigenvalue localization[J].Numerical Algorithms,2006.229-245.
  • 5Berman A,Plemmons R J. Nonnegative Matrices in the Mathematical Sciences[M].New York:Academic Press,Inc,1979.
  • 6Fang M Z. Bounds on eigenvalues of Hadamard product and the Fan product of matrices[J].Linear Algebra and Its Applications,2007.7-15.
  • 7Huang R. Some inequalities for the Hadamard product and the Fan product of matrices[J].Linear Algebra and Its Applications,2008.1551-1559.
  • 8Liu Q B,Chen G L. On two inequalities for the Hadamard product and the Fan product of matrices[J].Linear Algebra and Its Applications,2009.974-984.
  • 9Li Y T,Li Y Y,Wang R W. Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices[J].Linear Algebra and Its Applications,2010.536-545.
  • 10Horn R A,Johnson C R. Topic in Matrix Analysis[M].Beijing:People′s Posts and Telecommunications Press,2005.

共引文献25

同被引文献19

引证文献2

二级引证文献4

江西师范大学学报（自然科学版）
2013年 第4期

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