Generalized bilateral inverses of tensors via Einstein product with applications to singular tensor equations

被引：3
|
作者：
Kheirandish, Ehsan [1 ]
Salemi, Abbas [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Dept Appl Math, Kerman, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 08期
关键词：
Tensor; Generalized bilateral inverse of tensor; Dual; CMP inverse; DMP inverse; Einstein product;
D O I：
10.1007/s40314-023-02483-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a unified approach for various extended inverses of tensors, the generalized bilateral inverse of tensors via Einstein products, is introduced and we show that a number of known generalized tensor inverses can be regarded as special cases of this idea. Some characterizations of the CMP, DMP, and MPD inverse of tensors by using Einstein products are provided. The notion of generalized bilateral inverses' dual and self-duality are investigated. In addition, the bilateral inverse solutions for singular linear tensor equations are studied.
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页数：19
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