| 行初等变换化矩阵为对称矩阵及其算法 |
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| 引用本文： | 陈学灵,;陈梅香,;陈清华,;杨忠鹏. 行初等变换化矩阵为对称矩阵及其算法[J]. 吉林林学院学报, 2014, 0(6): 719-724 |
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| 作者姓名： | 陈学灵, 陈梅香, 陈清华, 杨忠鹏 |
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| 作者单位： | [1]福州大学数学与计算机科学学院,福建福州350108; [2]莆田学院数学学院,福建莆田351100; [3]福建师范大学数学与计算机科学学院,福建福州350007; [4]闽南师范大学数学与统计学院,福建漳州363000 |
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| 基金项目： | 国家自然科学基金项目（11071040）;福建省教育厅科研基金项目（JA12286）;莆田学院教改项目（JG201415） |
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| 摘 要： | 从行等价的理论和方法出发，以构造形式讨论了如何通过对矩阵具体的行初等变换得到对称矩阵，在此基础上给出了算法程序。
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| 关 键 词： | 行初等变换 单位下三角矩阵 行简化幂等矩阵 行简化对称矩阵 |
Transformation of Matrix into Symmetric Matrix by Row Elementary Operation and Its Algorithm |
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| Affiliation: | Chen Xueling, Chen Meixiang, Chen Qinghua, Yang Zhongpeng ( 1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China ; 2. School of Mathematics, Putian University, Putian 351100, China ; 3. College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China; 4. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China) |
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| Abstract: | Starting from the theory and method of row equivalent transformation, we discuss how to change a matrix into a symmetric one by row elementary operation in constructed form, and give the corresponding algorithm furthermore. |
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| Keywords: | row elementary operation unit lower triangular matrix row-reduced idempotent matrix row-reduced symmetric matrix |
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