Spectral Theory of Tensors, Tensor (Rank) Decompositions, and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 31 May 2025 | Viewed by 767
Special Issue Editors
Interests: linear and multilinear algebra; differential geometry; algebraic topology
Special Issue Information
Dear Colleagues,
The study of higher-order tensors (multi-dimensional arrays) has been an active research area for over a decade. Numerous significant progresses have been made in the front on eigenvalue problems for tensors, tensor rank problems, tensor decompositions problems, and spectral hypergraph theory, just to name a few, while new discoveries are being made as we speak. Alongside theoretical development, a wide range of applications found their way in Numerical Multilinear Algebra, Image Processing, Statistical Data Analysis, Multi-relational data mining, best rank-one approximation, Convex Optimizations, Higher-order Markov chains, and Quantum entanglement problems, etc.
Prof. Dr. Tan Zhang
Prof. Dr. Shenglong Hu
Guest Editors
Manuscript Submission Information
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Keywords
- tensor eigenvalues
- tensor ranks
- tensor decompositions
- spectral hypergraph theory
- positive semi-definite programming
- higher-order Markov chains
