Department of Mathematics, Linyi University, Linyi, Shandong 276000, China ; Department of Mathematics, Shandong Normal University, Ji'nan, Shandong 250014, China.
Department of Mathematics, Linyi University, Linyi, Shandong 276000, China.
Comput Math Methods Med. 2013;2013:707381. doi: 10.1155/2013/707381. Epub 2013 Nov 28.
We first give the style spectral decomposition of a special skew circulant matrix C and then get the style decomposition of arbitrary skew circulant matrix by making use of the Kronecker products between the elements of first row in skew circulant and the special skew circulant C. Besides that, we obtain the singular value of skew circulant matrix as well. Finally, we deal with the optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix on the base of its style spectral decomposition.
我们首先给出了一类特殊斜循环矩阵 C 的谱分解形式，然后利用斜循环矩阵第一行元素与特殊斜循环矩阵 C 的 Kronecker 积，得到了任意斜循环矩阵的谱分解形式。此外，还得到了斜循环矩阵的奇异值。最后，基于斜循环系数矩阵的谱分解形式，对具有斜循环系数矩阵的线性系统进行了最优的后验扰动分析。
