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Least Squares η - Hermitian Solution for Quaternion Matrix Equation AXB = C

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Book cover Information Computing and Applications (ICICA 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 307))

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Abstract

By applying the methods presented by Yuan et al. [Yuan, S.F., Wang, Q.W.: Two special kinds of least squares solutions for the quaternion matrix equation AXB + CXD = E. Electron. J. Linear Algebra 23, pp. 257–274 (2012)], we derive the expression of the least squares η -Hermitian solution of the quaternion matrix equation AXB = C with the least norm.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics and Computational Science, Wuyi University, Jiangmen, 529020, P.R. China

    Shifang Yuan

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  1. Shifang Yuan
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Editors and Affiliations

  1. College of Sciences, Hebei United University, 063000, Tangshan, Hebei, China

    Chunfeng Liu  & Aimin Yang  & 

  2. Northeastern University at Qinhuangdao, Hebei, China

    Leizhen Wang

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Yuan, S. (2012). Least Squares η - Hermitian Solution for Quaternion Matrix Equation AXB = C . In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34038-3_41

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  • DOI: https://doi.org/10.1007/978-3-642-34038-3_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34037-6

  • Online ISBN: 978-3-642-34038-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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