| DLU三元组矩阵的三类逆二次特征值问题 |
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| 引用本文： | 黄贤通.DLU三元组矩阵的三类逆二次特征值问题[J].五邑大学学报(自然科学版),2013(4):21-26. |
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| 作者姓名： | 黄贤通 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西赣州341000 |
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| 基金项目： | 江西省教育厅科技项目（GJJ10585） |
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| 摘 要： | 给出了DLU三元组矩阵的二次特征多项式的表达式，就n=5研究了三类逆二次特征值问题，利用广义逆矩阵理论和线性代数基本理论得到了问题有解的条件和解的表达式．数值实验说明了算法的有效性．
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| 关 键 词： | 二次特征值 逆二次特征值问题 DLU三元组矩阵 |
Three Types of the Quadratic Inverse Eigen-value for the DLU Matrix |
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| HUANG Xian-tong.Three Types of the Quadratic Inverse Eigen-value for the DLU Matrix[J].Journal of Wuyi University(Natural Science Edition),2013(4):21-26. |
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| Authors: | HUANG Xian-tong |
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| Institution: | HUANG Xian-tong (College of Mathematics ＆ Computer Science, Gan-nan Normal University, Ganzhou, 341000, China) |
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| Abstract: | The expression of quadratic eigen-polynomial is given for n×n DLU matrix： The existence and expression of the solutions for three types of the quadratic inverse eigen-value problem were obtained by the Moore-Penrose inverse matrix and the element linear algebra theorem for n = 5. The numerical experiment shows the algorithm is effective. |
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| Keywords: | quadratic eigen-value problem quadratic inverse eigen-vatue problem DLU triple matrix |
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