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Core and core-EP inverses of tensors

  • Jajati Keshari Sahoo
  • Ratikanta Behera
  • Predrag S. StanimirovićEmail author
  • Vasilios N. Katsikis
  • Haifeng Ma
Article
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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.

Keywords

Generalized inverse Core-EP inverse Core inverse Tensor Einstein product 

Mathematics Subject Classification

15A69 15A09 
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Notes

Acknowledgements

Ratikanta Behera acknowledges the support provided by Science and Engineering Research Board (SERB), Department of Science and Technology, India, under the Grant No. EEQ/2017/000747.

Predrag Stanimirović gratefully acknowledges support from the Ministry of Education, Science and Technological Development, Republic of Serbia, Grant No. 174013.

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  1. 1.Department of MathematicsBITS PilaniGoaIndia
  2. 2.Department of Mathematics and StatisticsIndian Institute of Science Education and Research KolkataNadiaIndia
  3. 3.Department of Computer Science, Faculty of Science and MathematicsUniversity of NišNišSerbia
  4. 4.Department of Economics, Division of Mathematics and InformaticsNational and Kapodistrian University of AthensAthensGreece
  5. 5.School of Mathematical ScienceHarbin Normal UniversityHarbinChina

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