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The double determinant of Vandermonde's type over quaternion field

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Abstract

Based on the double determinant theory the problem about the determinant of Vandermonde's type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal to zero is got.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Yantai University, 264000, Yantai, P R China

    Hou Renmin, Zhao Xuqiang & Wang Liangtao

Authors
  1. Hou Renmin
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  2. Zhao Xuqiang
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  3. Wang Liangtao
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Communicated by Cheng Changjun

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Renmin, H., Xuqiang, Z. & Liangtao, W. The double determinant of Vandermonde's type over quaternion field. Appl Math Mech 20, 1046–1053 (1999). https://doi.org/10.1007/BF02459069

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  • DOI: https://doi.org/10.1007/BF02459069

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