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四元数张量方程A∗N X=B的通解

Hua JIANG,Shi-Fang YUAN,Ming-Zhao LI

Journal of Wuyi University(Natural Science Edition)（2020）

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Abstract
对于给定四元数张量A∈QI1×…×IN×J1×…×JN,B∈QI1×…×IN×K1×…×KM,本文利用四元数张量的复表示,讨论了四元数张量方程A?NX=B相容性条件及其通解,其中X∈QJ1×…×JN×K1×…×KM,?N为张量A与X的Einstein积.
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