Behera, R and Sahoo, JK and Stanimirovi�, PS and Stupina, A and Stupin, A (2024) Computing Tensor Generalized Bilateral Inverses. In: Communications on Applied Mathematics and Computation .
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Abstract
We introduce tensor generalized bilateral inverses (TGBIs) under the Einstein tensor product as an extension of generalized bilateral inverses (GBIs) in the matrix environment. Moreover, the TBGI class includes so far considered composite generalized inverses (CGIs) for matrices and tensors. Applications of TBGIs for solving multilinear systems are presented. The characterizations and representations of the TGBI were studied and verified using a specific algebraic approach. Further, a few characterizations of known CGIs (such as the CMP, DMP, MPD, MPCEP, and CEPMP) are derived. The main properties of the TGBIs were exploited and verified through numerical examples. © Shanghai University 2024.
| Item Type: | Journal Article |
|---|---|
| Publication: | Communications on Applied Mathematics and Computation |
| Publisher: | Springer Nature |
| Additional Information: | The copyright for this article belongs to Authors |
| Keywords: | Inverse problems; Matrix algebra; Poisson equation, 15a09; 15a10; 15a69; Einstein product; Einstein's tensors; Generalized bilateral inverse; Generalized inverse; matrix; Outer inverse; Tensor products, Tensors |
| Department/Centre: | Division of Interdisciplinary Sciences > Computational and Data Sciences |
| Date Deposited: | 29 Jul 2024 09:07 |
| Last Modified: | 29 Jul 2024 09:07 |
| URI: | http://eprints.iisc.ac.in/id/eprint/85205 |
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