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

Fuente: arXiv
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Autori principali: Kooshkghazi, Malihe Nobakht, Ahmadi-Asl, Salman, Afshin, Hamidreza
Natura: Preprint
Pubblicazione: 2025
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author Kooshkghazi, Malihe Nobakht
Ahmadi-Asl, Salman
Afshin, Hamidreza
author_facet Kooshkghazi, Malihe Nobakht
Ahmadi-Asl, Salman
Afshin, Hamidreza
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17861
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient iterative techniques for solving tensor problems with the T-product
Kooshkghazi, Malihe Nobakht
Ahmadi-Asl, Salman
Afshin, Hamidreza
Numerical Analysis
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.
title Efficient iterative techniques for solving tensor problems with the T-product
topic Numerical Analysis
url https://arxiv.org/abs/2504.17861