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Algebraic methods for least squares problem in split quaternionic mechanics

Author

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  • Zhang, Zhaozhong
  • Jiang, Ziwu
  • Jiang, Tongsong

Abstract

A split quaternionic least squares problem is one method of solving overdetermined sets of split quaternion linear equations AX ≈ B that is appropriate when there is error in the matrix B. In this paper, by means of complex representation and real representation of a split quaternion matrix, we study the split quaternionic least squares problem, derive two algebraic methods for finding solutions of the problems in split quaternionic mechanics.

Suggested Citation

  • Zhang, Zhaozhong & Jiang, Ziwu & Jiang, Tongsong, 2015. "Algebraic methods for least squares problem in split quaternionic mechanics," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 618-625.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:618-625
    DOI: 10.1016/j.amc.2015.07.072
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    Cited by:

    1. Minghui Wang* & Lingling Yue & Situo Xu & Rufeng Chen, 2019. "The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 5(6), pages 62-68, 06-2019.

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