English

Core and Core-EP Inverses of Tensors

Numerical Analysis 2021-03-09 v1

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.

Keywords

Cite

@article{arxiv.1905.07874,
  title  = {Core and Core-EP Inverses of Tensors},
  author = {Jajati Kesahri Sahoo and Ratikanta Behera and Predrag S. Stanimirovic and Vasilios N. Katsikis and Haifeng Ma},
  journal= {arXiv preprint arXiv:1905.07874},
  year   = {2021}
}

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