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THE LINEAR BI-SPATIAL TENSOR EQUATIONφijAiXBj= C
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收稿时间:1996-02-16

The linear bi-spatial tensor equation φi j AiXBj= C
Chen Yuming,Xiao Heng,Li Jianbo. The linear bi-spatial tensor equation φi j AiXBj= C[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(10): 979-986. DOI: 10.1007/BF00147135
Authors:Chen Yuming  Xiao Heng  Li Jianbo
Affiliation:(1) Department of Applied Mathematics, Húnan University, 410012 Húnan, P. R. China;(2) Department of Mathematics, Peking University, 100871 Beijing, P. R. China;(3) Department of Mathematics, University of Kentucky, 40506-0027 Lexington, KY, USA
Abstract:A linear bi-spatial tensor equation which contains many often encountered equations as particular cases is thoroughly studied. Explicit solutions are obtained. No conditions on eigenvalues of coefficient tensors are imposed.
Keywords:tensor equation  bi-spatial tensor  square tensor-product
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