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The Mediating Morphism of the Multilinear Optimal Map

Published online by Cambridge University Press:  28 May 2015

Seak-Weng Vong ,
Xiao-Qing Jin  and
Jin-Hua Wang
Seak-Weng Vong*
Affiliation:
Department of Mathematics, University of Macau, Macao, China
Xiao-Qing Jin*
Affiliation:
Department of Mathematics, University of Macau, Macao, China
Jin-Hua Wang*
Affiliation:
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
*
Corresponding author. Email: swvong@umac.mo
Corresponding author. Email: xqjin@umac.mo
Corresponding author. Email: wjh@zjut.edu.cn
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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

15A6947B35Optimal preconditionertensor productmultilinear mapping
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 4 , Issue 1 , February 2014 , pp. 82 - 87
Copyright
Copyright © Global-Science Press 2014

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