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《Journal of Anhui Normal University(Natural Science)》 2014-01
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Quaternion's Conjugate Numbers and Conditional Commutativity of Quaternion Matrix Multiplication

DING Guang-tao;College of Physics and Electronic Information, Anhui Normal University;  
In this paper, the conjugate operations of quaternion and the conditional commutativity of quaternion multiplication are studied. Some new types of conjugate numbers of quaternion are introduced, and some algebraic expressions of quaternion conjugate operations are given. Based on the conditional commutative law of quaternion matrix multiplication, a new kind of number related to quaternion— transmutation quaternion is introduced. The conditional commutative law of quaternion multiplication is re-expressed in analytical form.
【CateGory Index】: O151.21
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