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Nekrasov矩阵的Schur补 被引量:3

The Schur Complement of Nekrasov Matrices
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摘要 利用不等式的放缩和数学归纳法给出Neknsov矩阵的顺序主子矩阵的Schur补仍为Nekrasov矩阵,并用数值实例说明了任意Nekrasov阵的Schur补并不一定是Neknsov矩阵。 The proof that the Schur complement of leading principal submatrices of Nekrasov matrices are still Nekrasov matrices is given based on the inequality transformation and mathematical inductive meth-od. Furthermore, an example is provided to illustrate the Schur complement of arbitrary submatrices of Nekra'sov matrices are not Nekrasov matrices.
作者 郭爱丽
出处 《毕节学院学报(综合版)》 2013年第8期43-47,109,共6页 Journal of Bijie University
基金 贵州省科技厅联合基金项目"四元数矩阵方程的特殊解研究"成果之一 项目编号:2013GZ40104 贵州省科技厅联合基金项目"量子自动机的状态复杂性"成果之一 项目编号:2013GZ63929 毕节学院科学研究基金项目"Nekrasov矩阵的Schur补"成果之一 项目编号:20102004
关键词 Nekrasov阵 SCHUR补 子矩阵 非奇异 Nekrasov Matrices Schur Complement Submatrices Nonsingular
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参考文献8

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同被引文献28

  • 1王强 ,宋永忠 ,李维国 .一类迭代矩阵的谱半径的上界估计[J].南京大学学报(数学半年刊),2005,22(1):96-106. 被引量:23
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  • 7Liu J Z, Huang Y Q. The Schur complements of generalized doubly diagonally dominant matrices[ J]. Linear Alge- bra Appl, 2004,378:231 -244.
  • 8Liu J Z, Huang Z J. The Schur complements of γ - diagonally and product γ- diagonally dominant matrix and their disc separation [ J ]. Linear Algebra App1, 2010,432 : 1 090 - 1 104.
  • 9Liu J Z. Some properties of Sehur complements and diagonal - Sehur complements of diagonally dominant matrices [ J ]. Linear Algebra Appl, 2008,428 : 1 009 - 1 030.
  • 10Liu J Z. Some properties on Sehur complements of H - matrices and diagonally dominant matrices[ J]. Linear Alge- bra App1,2004,389:365 - 380.

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