On some inverse singular value problems with Toeplitz-related structure

On some inverse singular value problems with Toeplitz-related structure
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DOI:
10.3934/naco.2012.2.187
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发表时间:
2012-03
期刊:
Numerical Algebra, Control and Optimization
影响因子:
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通讯作者:
Zhengjian Bai;X. Jin;Seakweng Vong
Zhengjian Bai;X. Jin;Seakweng Vong
中科院分区:
其他
文献类型:
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作者:
Zhengjian Bai;X. Jin;Seakweng Vong

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本文考虑一类Toeplitz相关矩阵的奇异值反问题。我们构造一个Toeplitz加汉克尔矩阵从规定的奇异值,包括零奇异值。然后,我们找到了一个解决的Toeplitz矩阵的奇异值反问题,其中有双奇异值包括双零奇异值。
In this paper, we consider some inverse singular value problems for Toeplitz-related matrices. We construct a Toeplitz-plus-Hankel matrix from prescribed singular values including a zero singular value. Then we find a solution to the inverse singular value problem for Toeplitz matrices which have double singular values including a double zero singular value.