title: On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix.
abstract: 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.
authors.affiliation: Department of Mathematics, Linyi University, Linyi, Shandong 276000, China ; Department of Mathematics, Shandong Normal University, Ji'nan, Shandong 250014, China.
authors.forename: Juan
authors.initials: J
authors.lastname: Li
authors.affiliation: Department of Mathematics, Linyi University, Linyi, Shandong 276000, China.
authors.forename: Zhaolin
authors.initials: Z
authors.lastname: Jiang
authors.affiliation: Department of Mathematics, Linyi University, Linyi, Shandong 276000, China ; Department of Mathematics, Shandong Normal University, Ji'nan, Shandong 250014, China.
authors.forename: Nuo
authors.initials: N
authors.lastname: Shen
authors.affiliation: Department of Mathematics, Linyi University, Linyi, Shandong 276000, China.
authors.forename: Jianwei
authors.initials: J
authors.lastname: Zhou
mesh_terms: D000465:Algorithms; D001921:Brain / Q000000981:diagnostic imaging* / Q000473:pathology; D003198:Computer Simulation; D006801:Humans; D016014:Linear Models; D010477:Perfusion; D011857:Radiographic Image Interpretation, Computer-Assisted; D012984:Software; D014057:Tomography, X-Ray Computed