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(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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Institution: | 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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