| Hermite矩阵特征值反问题的几乎处处不可解性 |
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| 引用本文： | 叶强.Hermite矩阵特征值反问题的几乎处处不可解性[J].计算数学,1987,9(3):225-232. |
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| 作者姓名： | 叶强 |
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| 作者单位： | 中国科学院计算中心 |
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| 摘 要： | §1.引言 Hermite矩阵的特征值反问题是Downing和Householder在2]中提出的,其形式如下: 问题A. 给定Hermite矩阵A,k个非零实数λ_1…,λ_k,以及满足r_+r_1+…+r_k=n的k+1个非负整数r_1,r_1,…,r_k,求一实对角矩阵D=diag(d_1,…,d_n),使得A+D的特征值为0,λ_1,…,λ_k,并且相应的重数为 r_0,r_1,…,r_k.
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THE UNSOLVABILITY OF INVERSE EIGENVALUE PROBLEMS FOR HERMITIAN MATRIX ALMOST EVERYWHERE |
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| Institution: | Ye Qiang Computing Center. Academia Sinica |
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| Abstract: | In this paper, the unsolvability of inverse eigenvalue problems for the hermitian matrixalmost everywhere is discussed. The method used in 6] and 7] is applied here, and somesimilar results are obtained. |
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