Volume 4, Issue 1
The Mediating Morphism of the Multilinear Optimal Map

Seak-Weng Vong, Xiao-Qing Jin & Jin-Hua Wang

East Asian J. Appl. Math., 4 (2014), pp. 82-87.

Published online: 2018-02

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  • Abstract

In this short note, we study a relation between the tensor product of matrices and a multilinear map defined by the optimal operator. In this particular case, the linear transform (mediating morphism) hidden in the abstract definition of the general tensor product can be determined explicitly.

  • Keywords

Optimal preconditioner tensor product multilinear mapping

  • AMS Subject Headings

15A69 47B35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-4-82, author = {Seak-Weng Vong, Xiao-Qing Jin and Jin-Hua Wang}, title = {The Mediating Morphism of the Multilinear Optimal Map}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {1}, pages = {82--87}, abstract = {

In this short note, we study a relation between the tensor product of matrices and a multilinear map defined by the optimal operator. In this particular case, the linear transform (mediating morphism) hidden in the abstract definition of the general tensor product can be determined explicitly.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.180213.160913a}, url = {http://global-sci.org/intro/article_detail/eajam/10823.html} }
TY - JOUR T1 - The Mediating Morphism of the Multilinear Optimal Map AU - Seak-Weng Vong, Xiao-Qing Jin & Jin-Hua Wang JO - East Asian Journal on Applied Mathematics VL - 1 SP - 82 EP - 87 PY - 2018 DA - 2018/02 SN - 4 DO - http://dor.org/10.4208/eajam.180213.160913a UR - https://global-sci.org/intro/eajam/10823.html KW - Optimal preconditioner KW - tensor product KW - multilinear mapping AB -

In this short note, we study a relation between the tensor product of matrices and a multilinear map defined by the optimal operator. In this particular case, the linear transform (mediating morphism) hidden in the abstract definition of the general tensor product can be determined explicitly.

Seak-Weng Vong, Xiao-Qing Jin & Jin-Hua Wang. (1970). The Mediating Morphism of the Multilinear Optimal Map. East Asian Journal on Applied Mathematics. 4 (1). 82-87. doi:10.4208/eajam.180213.160913a
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