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M矩阵的Hadamard积的最小特征值下界的估计 被引量:1

Estimation of the Lower Bound of Minimum Eigenvalue for MMatrix of Hadamard Product
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摘要 借助非奇异M矩阵A的逆矩阵A-1的元素的一些估计式和组合优化的思想,给出非奇异M矩阵B与A-1的Hadamard积B。A-1的最小特征值下界的一些新估计式。这些估计式比现有的仅依赖于矩阵元素的估计式更加精确。 Based on some estimation and optimization idea of nonsingular M matrix A's inverse matrix A^-1's elements, the new estimator of minimum eigenvalue bounds of the nonsingular M matrix B and A^-1 the Hadamard product B o A^-1 is given of.These estimates is more accurate compared with the existing one that depends on the matrix elements of the estimator.
作者 李艳艳
机构地区 文山学院数理系
出处 《四川理工学院学报(自然科学版)》 CAS 2013年第1期76-78,共3页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 文山学院科研基金项目(11WSYQ01)
关键词 M矩阵 HADAMARD积 最小特征值 M matrix Hadamard Product minimum eigenvalue
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  • 1周平,赵慧.M-矩阵与M-矩阵的逆的Hadamard积的最小特征值下界的估计[J].四川理工学院学报(自然科学版),2011,24(6):729-732. 被引量:1
  • 2孙丽英,许兴业.H-矩阵的刻化及一类实矩阵逆的上下界估计[J].云南大学学报(自然科学版),2005,27(4):285-288. 被引量:2
  • 3黄廷祝,杨传胜.特殊矩阵分析及应用[M].北京:科学出版社,2003.
  • 4HORN R A,JOHNSON C R. Topics in matrix analysis [ M ]. New York:Cambridge University Press, 1991.
  • 5BERMAN A, PLEMONS R J. Nonnegative matrices in the mathematical sciences[ M ]. New York:Academic Press, 1979.
  • 6HORN R A,JOHNSON C R. Topics in matrix analysis[ M]. New York:Cambridge University Press, 1985.
  • 7FANG M Z. Bounds on eigenvalue of the Hadamard product and the Fan product of matrices[J]. Linear Algebra Appl,2007,425:7-15.
  • 8HUANG R. Some inequalities for the Hadamard product and Fan product of matrices [ J ]. Linear Algebra Appl,2008,428: 1 551-1 559.
  • 9LIU Q B,CHEN G L. On two inequalities for the Hadamard product and Fan product of matrices [ J ]. Linear Algebra Appl, 2009.03. 049. doi : 10. 1016/j. laa.
  • 10游兆永.非奇异M-矩阵[M].武汉:武汉工学院出版社,1981.

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  • 1Berman A,Plemmons R J.Nonnegative Matrices in the Mathematical Sciences [ M]. SIAM Press: Philadephia, 1994.
  • 2Li Houbiao,Huang Tingzhu, Li Hong. Lower bounds for the eigenvalue of Hadamard product of an M-matrix and its inverse[J].Linear Algebra Appl007,420:235-247.
  • 3Li Yaotang, Chen Fubin,Wang Defeng.New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse[J].Linear Algebra Appl.2009,430:1423- 1431.
  • 4Tian Guixian, Huang Tingzhu. Inequalities for the mini- mum eigenvalue of M-matrices[J].Electronic Journal of Linear Algebra 2010,20:291-302.
  • 5李艳艳,李耀堂.严格对角占优M-矩阵的逆矩阵的无穷大范数上界的估计[J].云南民族大学学报(自然科学版),2012,21(1):52-56. 被引量:18
  • 6刘新,杨晓英.M-矩阵与其逆矩阵的Hadamard积最小特征值的新下界[J].四川理工学院学报(自然科学版),2012,25(2):84-87. 被引量:5

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