On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Li Juan¹²^ORCID,Jiang Zhaolin¹,Shen Nuo¹²,Zhou Jianwei¹

Affiliation:

1. Department of Mathematics, Linyi University, Linyi, Shandong 276000, China

2. Department of Mathematics, Shandong Normal University, Ji’nan, Shandong 250014, China

Abstract

We first give the style spectral decomposition of a special skew circulant matrixCand 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 circulantC. 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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2013/707381.pdf

Reference15 articles.

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4. Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems

5. Four-dimensional lattice rules generated by skew-circulant matrices

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