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Analysis of the structured perturbation for the BSCCB linear system

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  • Jiang, Zhao-Lin
  • Tang, Xia

Abstract

In this paper, based on block style spectral decomposition of the block skew circulant with circulant blocks (BSCCB) matrix, the structure perturbation is discussed, which includes the condition number and relative error of the BSCCB linear system. Then the optimal backward perturbation bound of the BSCCB linear system is analyzed. Simultaneously, the algorithm for the optimal backward perturbation bound is presented. At the end of the paper, a numerical example is provided to verify the effectiveness of the algorithm.

Suggested Citation

  • Jiang, Zhao-Lin & Tang, Xia, 2016. "Analysis of the structured perturbation for the BSCCB linear system," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 1-9.
    • Handle: RePEc:eee:apmaco:v:277:y:2016:i:c:p:1-9
    DOI: 10.1016/j.amc.2015.12.030
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    References listed on IDEAS

    as
    1. Jiang, Xiaoyu & Hong, Kicheon, 2015. "Explicit inverse matrices of Tribonacci skew circulant type matrices," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 93-102.
    2. Zheng, Yanpeng & Shon, Sugoog, 2015. "Exact determinants and inverses of generalized Lucas skew circulant type matrices," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 105-113.
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