期刊文献+

矩阵非齐次特征值的包含域 被引量:2

Inclusion region of the inhomogeneous eigenvalues of matrix
下载PDF
导出
摘要 用矩阵分析的方法,研究了矩阵的非齐次特征值的估计问题,给出了一个新的矩阵非齐次特征值的包含域和边界定理,为线性微分动力系统的稳定性分析提供了新的方法,改进了已有的相应结果. Some estimations of inhomogeneous eigenvalues was researched on the basis of the method of matrix analysis, an new inclusion region and marginal theorem of inhomogeneous eigenvalues were given, which provided a new method for stability analysis of linear differential dynamic system. The corresponding results were improved.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2008年第1期6-10,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471055)
关键词 非齐次特征值 包含域 边界定理 inhomogeneous eigenvalus inclusion region marginal theorem
  • 相关文献

参考文献9

二级参考文献6

共引文献15

同被引文献11

  • 1李耀堂,王转德.线性方程组预条件AOR迭代法注记(英文)[J].工程数学学报,2004,21(5):685-690. 被引量:1
  • 2BAI Z D,SILVERSTEIN J W. Spectral analysis of large dimensional random matrices[M]. New York:Science Press,2006:16- 80. 被引量:1
  • 3BAI Z D. Methodoogies in spectral analysis of large dimensional random matrices a review[J]. Statist Sinica,1999(9).611-677. 被引量:1
  • 4MARCENKO V A,PASTUR L A. Distribution of eigenvalues for some sets of random matrices[J]. Mat Sb, 1967(72).507-536. 被引量:1
  • 5KENNETH W WACHTER. The strong limits of random matrix spectra for sample matrices of independent elements[J]. Ann Probab, 1978(6) : 1-18. 被引量:1
  • 6YIN Y Q. Limiting spectral distribution for a class of random matrices[J]. J Multivariate Anal, 1986(20):50-68. 被引量:1
  • 7SILVERSTEIN J W. Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices[J]. J Multivariate Anal,1995(55) :331-339. 被引量:1
  • 8SILVERSTEIN J W,BAI Z D. On the empirical distribution of eigenvalues of a class of large dimensional random matrices[J]. J Multivariate Anal,1995(54) .175-192. 被引量:1
  • 9BAI Z D,SILVERSTIEN J W. No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices[J]. Ann Probab,1998(26):316-345. 被引量:1
  • 10BAI Z D, SILVERSTEIN J W. CLT for linear spectral statistics of large-dimensional sample covariance matrices[J]. Ann Prob, 2004(32) 533-605. 被引量:1

引证文献2

二级引证文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部