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
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author Li, Juan
Jiang, Zhaolin
Shen, Nuo
Zhou, Jianwei
author_facet Li, Juan
Jiang, Zhaolin
Shen, Nuo
Zhou, Jianwei
author_sort Li, Juan
collection PubMed
description 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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spelling pubmed-38635762013-12-25 On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix Li, Juan Jiang, Zhaolin Shen, Nuo Zhou, Jianwei Comput Math Methods Med Research Article 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. Hindawi Publishing Corporation 2013 2013-11-28 /pmc/articles/PMC3863576/ /pubmed/24369488 http://dx.doi.org/10.1155/2013/707381 Text en Copyright © 2013 Juan Li et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Juan
Jiang, Zhaolin
Shen, Nuo
Zhou, Jianwei
On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title_full On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title_fullStr On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title_full_unstemmed On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title_short On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix
title_sort on optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix
topic Research Article
url 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
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