Sparse solutions to underdetermined Kronecker product systems

Sparse solutions to underdetermined Kronecker product systems
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DOI:
10.1016/j.laa.2009.08.005
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发表时间:
2009-12
影响因子:
1.1
通讯作者:
Sadegh Jokar;V. Mehrmann
Sadegh Jokar;V. Mehrmann
中科院分区:
数学3区
文献类型:
--
作者:
Sadegh Jokar;V. Mehrmann

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在压缩感知的背景下,最近引入了矩阵的三个性质:火花、互不相干性和受限等距性质。我们研究了作为Kronecker积的矩阵的这些性质,并展示了这些性质与因子的性质之间的关系。对于相互不一致的情形,我们还讨论了Kronecker乘积和的结果。
Three properties of matrices: the spark, the mutual incoherence and the restricted isometry property have recently been introduced in the context of compressed sensing. We study these properties for matrices that are Kronecker products and show how these properties relate to those of the factors. For the mutual incoherence we also discuss results for sums of Kronecker products.