Matrices and Tensors over General Algebras with Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".
Deadline for manuscript submissions: 31 March 2025 | Viewed by 324
Special Issue Editors
Interests: matrix theory; tensor theory; quaternion; computer algebra
Special Issues, Collections and Topics in MDPI journals
Interests: linear algebra and matrix theory; numerical linear algebra
Special Issue Information
Dear Colleagues,
A matrix can be regarded as a two-dimensional tensor, but the research on tensors of three dimensions and above is far more difficult and complex than matrices. Most tensor research computational problems are NP-hard. Tensors have a long history of research and wide applications: from Einstein’s early use of tensors to describe the gravitational field in the general theory of relativity to recent fields such as data mining, neural networks, and computer imaging. For example, tensors are often used to represent high-dimensional data such as color images, color videos, and hyperspectral images to achieve efficient data processing and analysis.
In this Special Issue, original research articles and reviews on matrices/tensors over general algebras like quaternions and split quaternions are welcome. Research areas may include (but not limited to) the following:
- Solving matrix/tensor equations
- Matrix/tensor decompositions
- Eigenvalues of matrices and tensors
- Generalized inverses of matrices and tensors
- Applications in signal/image processing, data mining, neural network, etc.
We look forward to receiving insightful contributions.
Dr. Yang Zhang
Dr. Xin Liu
Dr. Pattrawut Chansangiam
Guest Editors
Manuscript Submission Information
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Keywords
- matrices
- tensors
- eigenvalues
- MP inverses
- quaternions
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