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arXiv · 1905.07874

Core and Core-EP Inverses of Tensors

Jajati Kesahri Sahoo·Ratikanta Behera·Predrag S. Stanimirovic·Vasilios N. Katsikis·Haifeng Ma
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Abstract

Specific definitions of the core and core-EP inverses of complex tensors are introduced. Some characterizations, representations and properties of the core and core-EP inverses are investigated. The results are verified using specific algebraic approach, based on proposed definitions and previously verified properties. The approach used here is new even in the matrix case.

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Jajati Kesahri Sahoo, Ratikanta Behera, Predrag S. Stanimirovic, Vasilios N. Katsikis, Haifeng Ma. 2019-05-20. Core and Core-EP Inverses of Tensors. https://doi.org/10.1007/s40314-019-0983-5

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