| 由3个特征对构造广义Jacobi矩阵 |
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| 引用本文： | 景何仿,尤传华.由3个特征对构造广义Jacobi矩阵[J].甘肃科学学报,2004,16(3):9-11. |
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| 作者姓名： | 景何仿 尤传华 |
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| 作者单位： | 1. 西北第二民族学院数值计算与工程应用研究所,宁夏,银川,750021;兰州大学数学系,甘肃,兰州,730000
2. 兰州大学数学系,甘肃,兰州,730000 |
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| 摘 要： | 提出了由3个特征对构造广义Jacobi矩阵的逆特征值问题，给出了这一问题有解的充分必要条件及算法、数值例．
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| 关 键 词： | 广义Jacobi矩阵 逆特征值问题 实对称三对角矩阵 Jacobi矩阵 特征对 |
| 文章编号： | 1004-0366(2004)03-0009-03 |
Construction of Generalized Jacobi Matrix by Three Eigenpairs |
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| JING He-fang,YOU Chuan-hua.Construction of Generalized Jacobi Matrix by Three Eigenpairs[J].Journal of Gansu Sciences,2004,16(3):9-11. |
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| Authors: | JING He-fang YOU Chuan-hua |
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| Abstract: | The construction of generalized Jacobi matrix by three eigenpairs is proposed, which is a kind of inverse eigenvalue problem. The necessary and sufficient conditions for the existence of THE solution for the problem are obtained. Furthermore, a numerical algorithm and a numerical experiment are given. |
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| Keywords: | generalized Jacobi matrix inverse eigenvalue problem real symmetric three-diagonal matrix Jacobi matrix eigen pair |
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