The Subdirect Sum of Strictly Diagonally Dominant Tensors

HE Jianfeng

doi:10.6054/j.jscnun.2021048

Journal of South China Normal University (Natural Science Edition) > 2021 > 53(3): 102-105. > DOI: 10.6054/j.jscnun.2021048

HE Jianfeng. The Subdirect Sum of Strictly Diagonally Dominant Tensors[J]. Journal of South China Normal University (Natural Science Edition), 2021, 53(3): 102-105. DOI: 10.6054/j.jscnun.2021048

Citation:

HE Jianfeng. The Subdirect Sum of Strictly Diagonally Dominant Tensors[J]. Journal of South China Normal University (Natural Science Edition), 2021, 53(3): 102-105. DOI: 10.6054/j.jscnun.2021048

Citation:

HE Jianfeng. The Subdirect Sum of Strictly Diagonally Dominant Tensors[J]. Journal of South China Normal University (Natural Science Edition), 2021, 53(3): 102-105. DOI: 10.6054/j.jscnun.2021048

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The Subdirect Sum of Strictly Diagonally Dominant Tensors

HE Jianfeng^,

School of Mathematics and Statistics, Chuxiong Normal University, Chuxiong 675000, China

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Received Date: September 20, 2020
Available Online: July 05, 2021

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Abstract

Abstract

The concept of subdirect sum of square matrices is extended to tensors according to the relation between matrix and tensor. The definitions of subdirect sum of tensors and S-strictly diagonally dominant tensors are given. It is proved, with the method of classification, that the subdirect sum of two strictly diagonally dominant tensors is also a strictly diagonally dominant tensor. Moreover, the condition ensuring that the subdirect sum of two tensors is the S-strictly diagonally dominant tensor is also given.
- subdirect sum,
- tensor,
- strictly diagonally dominant

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