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不可约M-矩阵最小特征值的估计 被引量:10

Estimates of the Minimal Eigenvalue of Irreducible M-Matrices
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摘要 文献中给出了估计弱对角占优M-矩阵的最小特征值的一些方法。本文中利用M-矩阵的最小特征值与非负矩阵潜半径之间的关系,给出了不可约M-矩阵最小特征值上下界的几个估计式。 Some methods are presented for estimating the minimal eigenvalue of weakly diagonally dominant M-matrices in [1]. In this paper, based on the relationship between the minimal eigenvalue and the spectral radius of nonuegative matrices, we derive some others upper and lower bounds on irreducible, M-matrices.
作者 章伟 黄廷祝
出处 《工程数学学报》 CSCD 北大核心 2004年第F12期31-34,共4页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金资助(60372012)
关键词 最小特征值 不可约 M-矩阵 估计式 谱半径 对角占优 上下界 irreducible M-matrix minimal eigenvalue upper and lower bounds Perron root nonneg-ative matrices
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参考文献1

  • 1ZHANG Xiao Dong Department of Mathematics.East China Normal University,Shanghai 200062.P.R.China E-mail:xdzhang2@hotmail.comLI Jiong Sheng Department of Mathematics.University of Science and Technology of China,Hefei 230026,P.R China.Spectral Radius of Non-negative Matrices and Digraphs[J].Acta Mathematica Sinica,English Series,2002,18(2):293-300. 被引量:5

二级参考文献10

  • 1Hayes M,Rivlin RS.Surface waves in deformed elastic materials[].Archive for Rational Mechanics and Analysis.1961
  • 2Jassby K,Kishoni D.Experimental technique for measurement of stress-acoustic coefficients of Rayleigh waves[].Experimental Mechanics.1983
  • 3Fukuoka H.Foundation of acousto-elasticity and its application[]..1993
  • 4Martin BG.The measurement of surface and near-surface stress in aluminum alloys using ultrasonic Rayleigh waves[].Materials Evaluation.1974
  • 5Hirao M,Fukuoka H,Hori K.Acoustoelastic effect of Rayleigh surface waves in isotropic materials[].Journal of Applied Mechanics.1981
  • 6Minc H.Nonnegative Matrices[]..1988
  • 7Barrow C J.Land Degradation[]..1991
  • 8Cao D.Bounds on eigenvalues and Chromatic numbers[].Linear Algebra and Its Applications.1998
  • 9Cvetkovic D M,Doob M,Sachs H.Spectra of graph: theory and applications[]..1980
  • 10Berman A,Plemmons R J.Nonnegative matrices in the mathematical sciences[]..1979

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