| 矩阵的分块初等变换与分块初等阵及其应用 |
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| 引用本文： | 张新育,周世国. 矩阵的分块初等变换与分块初等阵及其应用[J]. 数学的实践与认识, 2011, 41(19) |
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| 作者姓名： | 张新育 周世国 |
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| 作者单位： | 郑州大学数学系,河南郑州,450052 |
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| 基金项目： | 国家自然科学基金项目资助(10971201) |
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| 摘 要： | 讨论了矩阵分块初等变换和分块初等阵的定义和性质,利用这一工具研究了行列式的分块运算,分块矩阵的求逆和对称阵的分块合同变换等问题.
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| 关 键 词： | 分块初等变换 分块初等阵 性质 应用 |
Elementary Transfomation of a Partitioning Matrix or Partitioning-Elementrayr-Matrix and Its Application |
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| ZHANG Xin-yu,ZHOU Shi-guo. Elementary Transfomation of a Partitioning Matrix or Partitioning-Elementrayr-Matrix and Its Application[J]. Mathematics in Practice and Theory, 2011, 41(19) |
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| Authors: | ZHANG Xin-yu ZHOU Shi-guo |
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| Affiliation: | ZHANG Xin-yu,ZHOU Shi-guo (Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| Abstract: | We present in this paper the concept of elementary transformation of a partition matrix,and then discuss several basic properties of the so-called partition-elementarymatrix. By use of this method,such problems as the partition algorithm of a determinant, how to calculate the inverse of matrix,congruent transformation of a symmetric partition matrix are thoroughly investigated. |
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| Keywords: | elementary transformation of a partition matrix partition-elementary -matrix property application |
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