The equatione xey=ex+y in quaternions

  • R. F. Rinehart
Article

Keywords

Quaternion Unit Quaternion Multiplication Orthogonal Unit Vector Real Quaternion Fixed Reference Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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    Fréchet, M.,Les solutions non commutables de l'équation matricielle e X·eY=eX+Y, Rend. Circ. Mat. Palermo, (2) VI (1952), pp. 11–27.CrossRefGoogle Scholar
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    Hamilton, W. R.,Elements of quaternions, Vol. I, Edited by C. R. Joly, Longmans., Green & Co 1889, pp. 421–425.Google Scholar
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    Huff, C. W.,On pairs of matrices (of order two) A, B Satisfying the condition e AeB=eA+B≠eBeA, Rend. Circ. Mat. Palermo (2) V 2 (1953) pp. 326–330.MATHCrossRefMathSciNetGoogle Scholar
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    Kakar, A. G.Non-commuting solutions of the matrix equation exp (X+Y)=expX expY, Rend. Circ. Mat. Palermo (2) V 2 (1953) pp. 342–345 (1954).MathSciNetGoogle Scholar
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    Morinaga, K. and Nôno, T.,On the non-commutative solutions of the exponential equation e xey=ex+y (I, II), J. Sci. Hiroshima Univ., Ser. A; V 17 (1954) pp. 345–358, and V18 (1954) pp. 137–178.MATHMathSciNetGoogle Scholar
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    Rinehart, R. F.,Elements of a theory of intrinsic functions on algebras, to appear in Duke Math. Journal.Google Scholar
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    Cebotarev, G. N.,On the solution of the matrix equation e BeC=eB+C, Dokl. Akad. Nauk SSSR (N. S.) V 96 (1954) pp. 1109–1112.MathSciNetGoogle Scholar

Copyright information

© Springer 1959

Authors and Affiliations

  • R. F. Rinehart
    • 1
  1. 1.Durham

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