On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix

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 o...

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Detalles Bibliográficos
Autores principales: Li, Juan, Jiang, Zhaolin, Shen, Nuo, Zhou, Jianwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3863576/
https://www.ncbi.nlm.nih.gov/pubmed/24369488
http://dx.doi.org/10.1155/2013/707381
Descripción
Sumario: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.

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