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More extensions of a determinant inequality of Hartfiel

Author

Listed:
  • Zheng, Yanpeng
  • Jiang, Xiaoyu
  • Chen, Xiaoting
  • Alsaadi, Fawaz

Abstract

Hartfiel’s determinant inequality, first proved for two positive definite matrices, has been recently extended to the case of sector matrices by Lin, Hou and Dong. This paper contributes an improvement of Lin’s result with a simple argument, we also present a complement of Hou and Dong’s result.

Suggested Citation

  • Zheng, Yanpeng & Jiang, Xiaoyu & Chen, Xiaoting & Alsaadi, Fawaz, 2020. "More extensions of a determinant inequality of Hartfiel," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308197
    DOI: 10.1016/j.amc.2019.124827
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    References listed on IDEAS

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    1. 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.
    2. Zhao, Di & Li, Hongyi, 2015. "On the computation of inverses and determinants of a kind of special matrices," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 721-726.
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