| A NOTE ON THE BACKWARD ERRORS FOR INVERSE EIGENVALUE PROBLEMS |
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| 引用本文： | XinguoLiu ZhengjianBai. A NOTE ON THE BACKWARD ERRORS FOR INVERSE EIGENVALUE PROBLEMS[J]. 计算数学(英文版), 2003, 21(2): 201-206 |
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| 作者姓名： | XinguoLiu ZhengjianBai |
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| 作者单位： | DepartmentofMathematics,OceanUniversityofChina,Qingdao266071 |
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| 基金项目： | This work was supported by NNSF of China. |
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| 摘 要： | In this note,we consider the backward errors for more general inverse eigenvalus prob-lems by extending Sun‘‘‘‘s approach.The optimal backward errors defined for diagonal-ization matrix inverse eigenvalue problem with respect to an approximate solution,and the upper and lower bounds are derived for the optimal backward errors.The results may be useful for testing the stability of practical algorithms.
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| 关 键 词： | 向后误差 逆特征值问题 可对角化矩阵 Frobenius范数 复矩阵 |
A NOTE ON THE BACKWARD ERRORS FOR INVERSE EIGENVALUE PROBLEMS |
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| Xinguo Liu Zhengjian Bai. A NOTE ON THE BACKWARD ERRORS FOR INVERSE EIGENVALUE PROBLEMS[J]. Journal of Computational Mathematics, 2003, 21(2): 201-206 |
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| Authors: | Xinguo Liu Zhengjian Bai |
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| Abstract: | In this note, we consider the backward errors for more general inverse eigenvalue problems by extending Sun's approach. The optimal backward errors are defined for diagonal-ization matrix inverse eigenvalue problem with respect to an approximate solution, and the upper and lower bounds are derived for the optimal backward errors. The results may be useful for testing the stability of practical algorithms. |
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| Keywords: | Inverse eigenvalue problem Optimal backward error Upper bound Lower bound |
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