| 实对称五对角矩阵逆特征值问题 |
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| 引用本文： | 王正盛.实对称五对角矩阵逆特征值问题[J].高等学校计算数学学报,2002,24(4):366-376. |
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| 作者姓名： | 王正盛 |
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| 作者单位： | 南京航空航天大学理学院,南京,210016 |
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| 摘 要： | 1 引 言 对于n阶实对称矩阵A=(aij),r是一个正整数,且1≤r≤n-1,当|i-j|>r时,aij=0(i,j=1,2,…,n),至少有一个i使得ai,i+r≠0,则称矩阵A是带宽为2r+1的实对称带状矩阵.特别地,当r=1时,称A为实对称三对角矩阵;当r=2时,称A为实对称五对角矩阵. 实对称带状矩阵逆特征值问题应用十分广泛,这类问题不仅来自微分方程逆特征值问
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| 关 键 词： | 实对称五对角矩阵 逆特征值 存在唯一解 |
INVERSE EIGENVALUE PROBLEM FOR REAL SYMMETRIC FIVE-DIAGONAL MATRIX |
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| Wang Zhengsheng.INVERSE EIGENVALUE PROBLEM FOR REAL SYMMETRIC FIVE-DIAGONAL MATRIX[J].Numerical Mathematics A Journal of Chinese Universities,2002,24(4):366-376. |
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| Authors: | Wang Zhengsheng |
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| Abstract: | In this paper, a kind of inverse eigenvalue problem which is the reconstruction of real symmetric five-diagonal matrix by three eigenvalues and corresponding eigenvectors is proposed. The solvability of the problem is disucssed and some sufficient and necessary conditions for existence of solution of this problem are given. Furthermore numerical algorithm and some numerical experiments are given. |
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| Keywords: | real symmetric five-diagonal matrix Jacobi matrix inverse prob- lems |
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