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arxiv: 1905.07874 · v1 · pith:IAMMFSAAnew · submitted 2019-05-20 · 🧮 math.NA · cs.NA

Core and Core-EP Inverses of Tensors

Jajati Kesahri Sahoo , Ratikanta Behera , Predrag S. Stanimirovic , Vasilios N. Katsikis , Haifeng Ma This is my paper
classification 🧮 math.NA cs.NA
keywords corecore-epinversesapproachdefinitionspropertiesspecifictensors
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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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  1. Reverse-order law for core inverse of tensors

    math.NA 2019-07 unverdicted novelty 5.0

    Establishes necessary and sufficient conditions for the reverse-order law of the core inverse of tensors and applies it to multilinear systems.