Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (1): 87-90.

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The Least Square Solutions to the Quaternion Matrix Equation AX=B

  

  1. Dept. of  Math., Yuncheng   Teacher's   College,Shanxi,044000
  • Received:1996-03-28 Online:1997-03-30 Published:2024-12-13

Abstract: A norm of a quaternion matrix is defined. The expressions of the least square solutions of the quaternion matrix equation AX = B and the equation with the constraint condition DX = E are given. 

Key words:  , the quaternion field, matrix equation, generalized unitary space, the least square solu- tion

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