On the tubular eigenvalues of third-order tensors Article Swipe
Fatemeh P. A. Beik
,
Yousef Saad
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.06323
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.06323
This paper introduces the notion of tubular eigenvalues of third-order tensors with respect to T-products of tensors and analyzes their properties. A focus of the paper is to discuss relations between tubular eigenvalues and two alternative definitions of eigenvalue for third-order tensors that are known in the literature, namely eigentuple and T-eigenvalue. In addition, it establishes a few results on tubular spectra of tensors which can be exploited to analyze the convergence of tubular versions of iterative methods for solving tensor equations.
Related Topics
Concepts
Eigenvalues and eigenvectors
Tensor (intrinsic definition)
Convergence (economics)
Order (exchange)
Mathematics
Focus (optics)
Invariants of tensors
Third order
Pure mathematics
Applied mathematics
Mathematical analysis
Physics
Quantum mechanics
Finance
Economic growth
Economics
Optics
Philosophy
Theology
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2305.06323
- https://arxiv.org/pdf/2305.06323
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4376167573
All OpenAlex metadata
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https://openalex.org/W4376167573Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2305.06323Digital Object Identifier
- Title
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On the tubular eigenvalues of third-order tensorsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-05-10Full publication date if available
- Authors
-
Fatemeh P. A. Beik, Yousef SaadList of authors in order
- Landing page
-
https://arxiv.org/abs/2305.06323Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2305.06323Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2305.06323Direct OA link when available
- Concepts
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Eigenvalues and eigenvectors, Tensor (intrinsic definition), Convergence (economics), Order (exchange), Mathematics, Focus (optics), Invariants of tensors, Third order, Pure mathematics, Applied mathematics, Mathematical analysis, Physics, Quantum mechanics, Finance, Economic growth, Economics, Optics, Philosophy, TheologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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