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Hermite矩阵广义Schur补的特征值交错性质 被引量:1

On the interlacing properties of the generalized Schur complement of a Hermitian matrix
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摘要 研究了Hermite矩阵的Schur补的特征值交错性质,将Smith建立的结果推广到Hermite矩阵的广义Schur补. In this paper, the intertacing properties of eigenvalues of the Schur complement of a Hermitian matrix, given by Smith, is extended to generalized Schur complement.
作者 何淦瞳
机构地区 贵州大学数学系
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第3期502-507,共6页 Pure and Applied Mathematics
基金 贵州省科教厅自然科学基金(J[2006]2002)
关键词 交错性质 广义SCHUR补 MOORE-PENROSE逆 特征值 Interlacing property, Generalized Schur complement,Moore-Penrose inverse,Eigenvalue
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参考文献7

  • 1Smith Ronald L. Some interlacing properties of the Schur complement of a Hermitian matrix [J]. Linear Algebra and its. Application, 1992, 177:137-144.
  • 2Haynsworth E V. Determination of the inertia of a partitioned Hermitian matrix [J]. Linear Algebra and its Application, 1968, 1:73-81.
  • 3Horn R.A Johnson C R. Matrix Analysis [M]. New York: Cambridge University Press, 1985.
  • 4Albert A. Conditions for positive and nonnegative definiteness in terms of pseudoinverse [J]. SIAM Journal on Applied Mathematics, 1969, 17:434-440.
  • 5Wang Boying, Zhang Xiuping, Zhang Fuzhen. Some inequalities of generalized Schur complements [J]. Linear Algebra and its Applications, 1999, 302/303:163-172.
  • 6Fan Yizheng. Schur complements and its applications to symmetric nonnegative and Z-matrices [J]. Linear Algebra and its Applications, 2002, 353:289-307.
  • 7Zhang Fuzhen. Matrix Theory: Basic Results and Techniques [M]. New York: Springer-Verlag, 1999.

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