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Extension and Application of the Wielandt-Hoffman Theorem

Extension and Application of the Wielandt-Hoffman Theorem
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摘要 The Wielandt-Hoffman theorem of the real symmetric matrix is extended into a plural matrix. On the basis of it, a similar theory about the trace of a matrix for the arithmetic mean, geometric mean inequality, Holder inequality and Minkowski inequality is proved. The Wielandt-Hoffman theorem of the real symmetric matrix is extended into a plural matrix. On the basis of it, a similar theory about the trace of a matrix for the arithmetic mean, geometric mean inequality, Holder inequality and Minkowski inequality is proved.
作者 DENG Qun
出处 《Journal of China University of Mining and Technology》 EI 2006年第2期233-235,共3页 中国矿业大学学报(英文版)
关键词 Hermitian matrix trace of matrix characteristic value INEQUALITY 埃尔米特矩阵 矩阵的迹 特征值 不等式
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参考文献3

  • 1Jiang E X.Linear Algebra[]..1981
  • 2Magnus R A.Representation theorem for 1(TrA p )p[].Linear Algebra and Its Applications.1987
  • 3Wilkinson J H.The Algebraic Eigenvalue Problem[]..1965

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