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Volume 37, Issue 4
Further Results on the Drazin Inverse of Tensors via Einstein Product

Chunmeng Liu, Lizhu Sun & Changjiang Bu

Commun. Math. Res., 37 (2021), pp. 537-549.

Published online: 2021-08

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  • Abstract

In this paper, we give further results on the Drazin inverse of tensors via the Einstein product. We give a limit formula for the Drazin inverse of tensors. By using this formula, the representations for the Drazin inverse of several block tensor are obtained. Further, we give the Drazin inverse of the sum of two tensors based on the representation for the Drazin inverse of a block tensor.

  • Keywords

Tensor, Drazin inverse, Einstein product.

  • AMS Subject Headings

15A69, 15A09

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-37-537, author = {Chunmeng and Liu and and 18045 and and Chunmeng Liu and Lizhu and Sun and and 18046 and and Lizhu Sun and Changjiang and Bu and and 18047 and and Changjiang Bu}, title = {Further Results on the Drazin Inverse of Tensors via Einstein Product}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {37}, number = {4}, pages = {537--549}, abstract = {

In this paper, we give further results on the Drazin inverse of tensors via the Einstein product. We give a limit formula for the Drazin inverse of tensors. By using this formula, the representations for the Drazin inverse of several block tensor are obtained. Further, we give the Drazin inverse of the sum of two tensors based on the representation for the Drazin inverse of a block tensor.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0014}, url = {http://global-sci.org/intro/article_detail/cmr/19442.html} }
TY - JOUR T1 - Further Results on the Drazin Inverse of Tensors via Einstein Product AU - Liu , Chunmeng AU - Sun , Lizhu AU - Bu , Changjiang JO - Communications in Mathematical Research VL - 4 SP - 537 EP - 549 PY - 2021 DA - 2021/08 SN - 37 DO - http://doi.org/10.4208/cmr.2021-0014 UR - https://global-sci.org/intro/article_detail/cmr/19442.html KW - Tensor, Drazin inverse, Einstein product. AB -

In this paper, we give further results on the Drazin inverse of tensors via the Einstein product. We give a limit formula for the Drazin inverse of tensors. By using this formula, the representations for the Drazin inverse of several block tensor are obtained. Further, we give the Drazin inverse of the sum of two tensors based on the representation for the Drazin inverse of a block tensor.

Chunmeng Liu, Lizhu Sun & ChangjiangBu. (2021). Further Results on the Drazin Inverse of Tensors via Einstein Product. Communications in Mathematical Research . 37 (4). 537-549. doi:10.4208/cmr.2021-0014
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