| THE INVERSE EIGENPROBLEM WITH RANK-ONE UPDATING AND ITS STABLITY |
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| 引用本文： | 苏仰锋,蒋尔雄. THE INVERSE EIGENPROBLEM WITH RANK-ONE UPDATING AND ITS STABLITY[J]. 高等学校计算数学学报(英文版), 1994, 0(1) |
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| 作者姓名： | 苏仰锋 蒋尔雄 |
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| 作者单位： | SuYang-feng Mathematics Department，Fudan University，Shanghai 200433，PRC. Jiang Er- xiong Mathematics Department，Fudan University，Shanghai 200433，PRC. |
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| 基金项目： | National Natural Science Foundation. |
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| 摘 要： | ![]()
Let ∑, Г be two n-by-n diagonal matrices with σi,γi as their diagonals. For the inverse eigenvalue problem: look for y∈Rn such that Г + yyT is similar to ∑, we prove thatu also the sufficient condition for the solvability of this inverse problem. Its solution (set) is given explicitly. In some case, the problem is unstable. But we prove that the sums of the square of some contigious components keep stable, i.e., small sum keeps small, large sum has a small relative perturbation, see Theorem 3.
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THE INVERSE EIGENPROBLEM WITH RANK-ONE UPDATING AND ITS STABLITY |
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| SuYang-feng Mathematics Department,Fudan University,Shanghai ,PRC. Jiang Er- xiong Mathematics Department,Fudan University,Shanghai ,PRC.. THE INVERSE EIGENPROBLEM WITH RANK-ONE UPDATING AND ITS STABLITY[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1994, 0(1) |
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| Authors: | SuYang-feng Mathematics Department Fudan University Shanghai PRC. Jiang Er- xiong Mathematics Department Fudan University Shanghai PRC. |
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| Affiliation: | SuYang-feng Mathematics Department,Fudan University,Shanghai 200433,PRC. Jiang Er- xiong Mathematics Department,Fudan University,Shanghai 200433,PRC. |
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| Abstract: | ![]()
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| Keywords: | Inverse eigenproblem rank-one updating stablity |
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