A Semi-Tensor Product of Tensors and Applications

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI:10.4208/eajam.181120.050122

Weihui Liu, Z. null, X. Jin

引用次数: 1

Abstract

. A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied. Applications of this new tensor product in image restoration and in ﬁnite dimensional algebras are discussed.

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张量的半张量积及其应用

.在两因子矩阵的维数不匹配的情况下，矩阵的半张量乘积被提出为通常矩阵乘积的推广。研究了张量的半张量乘积和基于Einstein乘积的交换张量的性质。讨论了这种新的张量积在图像恢复和有限维代数中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.