| 由三个向量对构造三对角对称矩阵 |
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| 引用本文： | 易福侠,王金林.由三个向量对构造三对角对称矩阵[J].南昌航空工业学院学报,2009,23(1):46-51. |
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| 作者姓名： | 易福侠 王金林 |
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| 作者单位： | 南昌航空大学数学与信息科学学院,江西,南昌,330063
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| 摘 要： | 文章讨论利用给定的三个向量对构造不可约三对角矩阵、Jacobi矩阵和负Jacobi矩阵的反问题.在求解方法中,将已知的-些关系式等价地转化为线性方程组,利用线性方程组有解的条件,得到了所研究问题有惟一解的充要条件,并给出了数值算法和例子.
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| 关 键 词： | 反问题 对称矩阵 不可约三对角矩阵 Jacobi矩阵 负Jacobi矩阵 |
On the Construction of Tridiagonal Symmetric Matrices From Three Vector Pairs |
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| YI Fu-xia,WANG Jin-lin.On the Construction of Tridiagonal Symmetric Matrices From Three Vector Pairs[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2009,23(1):46-51. |
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| Authors: | YI Fu-xia WANG Jin-lin |
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| Institution: | College of Mathematics and Information Science;Nanchang Hangkong University;Nanchang;Jiangxi 330063;china |
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| Abstract: | In this paper,the inverse problems of constructing the irreducible tridiagonal matrixes,Jacobi matrixes and negative Jacobi matrixes with given three vector pairs are discussed.In the method for solving these problems,the equivalent relations between these problems and linear equation systems are considered.By using the conditions for the solvability of the linear equation systems,some necessary and sufficient conditions under which there exists a unique solution for the discussed problems are obtained.Furt... |
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| Keywords: | inverse problem symmetric matrix irreducible tridiagonal matrix Jacobi matrix negative Jacobi matrix |
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