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关于γ-块严格对角占优矩阵的Schur补

On the Schur Complement of a γ-block Strictly Diagonally Dominant Matrix
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摘要 本文证明了γ-块严格对角占优矩阵的Schur补是γ-块严格对角占优矩阵。 In this paper,it is proven that the Schur complement of a γ-block strictly diagonally dominant matrix is still γ-block strictly diagonally dominant matrix.
机构地区 贵州大学理学院
出处 《贵州大学学报(自然科学版)》 2010年第6期8-10,共3页 Journal of Guizhou University:Natural Sciences
基金 全国统计科学研究重点项目(2009LZ009) 贵州国际合作项目(黔科合外G字[2010]7011)
关键词 γ-块严格对角占优矩阵 SCHUR补 比较矩阵 γ-block strictly diagonally dominant matrix Schur complement comparison matrix
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参考文献5

  • 1Jianzhou Liu,Jicheng Li,Zhuohong Huang,et al.Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices[J].Linear Algebra and its Applications,2008(428):1009-1030.
  • 2Ben polman.Incomplete blockwise factorizations of(block)H-matrices[J].Linear Algebra and its Applications,1987(90):119-132.
  • 3Cheng-yi Zhang,Yao-tang Li,Feng Chen.On Schur complement of block diagonally dominant matrices[J].Linear Algebra and its Applications,2006(414):533-546.
  • 4R A Horn,C R Johnson.Matrix Analysis[M].New York:Cambridge University Press,1985.
  • 5L Yu Kolotilina.Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices[J].Linear Algebra and its Applications,2003(359):133-159.

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