Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks

Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks
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DOI:
10.1155/2014/523102
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发表时间:
2014-06
影响因子:
--
通讯作者:
Zhaolin Jiang;Juan Li;Jianwei Zhou
Zhaolin Jiang;Juan Li;Jianwei Zhou
中科院分区:
--
文献类型:
--
作者:
Zhaolin Jiang;Juan Li;Jianwei Zhou

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首先给出了任意块斜循环矩阵的块式谱分解。其次,我们得到了块斜循环矩阵的奇异值。最后,基于块式谱分解,讨论了具有斜循环块的块斜循环线性系统的最优向后扰动分析。
We first give the block style spectral decomposition of arbitrary block skew circulant matrix with skew circulant blocks. Secondly, we obtain the singular value of block skew circulant matrix with skew circulant blocks as well. Finally, based on the block style spectral decomposition, we deal with the optimal backward perturbation analysis for the block skew circulant linear system with skew circulant blocks.