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Efficient iterative techniques for solving tensor problems with the T-product

Numerical Analysis 2025-04-28 v1 Numerical Analysis

Abstract

This paper presents iterative methods for solving tensor equations involving the T-product. The proposed approaches apply tensor computations without matrix construction. For each initial tensor, these algorithms solve related problems in a finite number of iterations, with negligible errors. The theoretical analysis is validated by numerical examples that demonstrate the practicality and effectiveness of these algorithms.

Keywords

Cite

@article{arxiv.2504.17861,
  title  = {Efficient iterative techniques for solving tensor problems with the T-product},
  author = {Malihe Nobakht Kooshkghazi and Salman Ahmadi-Asl and Hamidreza Afshin},
  journal= {arXiv preprint arXiv:2504.17861},
  year   = {2025}
}