Eigenvalues of quaternion tensors: properties, algorithms and applications

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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Tensor Decompositions and Applications
A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
Geršgorin type theorems for quaternionic matrices
The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
A new real structure-preserving quaternion QR algorithm
Determinantal representations of solutions to systems of quaternion matrix equations
A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems
A new structure-preserving method for quaternion Hermitian eigenvalue problems
Decomposition for a quaternion tensor triplet with applications
The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications
Arnoldi method for large quaternion right eigenvalue problem
Parallel active subspace decomposition for tensor robust principal component analysis
A system of Sylvester-type quaternion matrix equations with ten variables
Generalized eigenvalue for even order tensors via Einstein product and its applications in multilinear control systems
Eigenvalues of quaternion tensors with applications to color video processing
Solving Multilinear Systems via Tensor Inversion
IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems
Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems
Structure Preserving Quaternion Generalized Minimal Residual Method
Some new results on a system of Sylvester-type quaternion matrix equations
Solvability conditions and general solutions to some quaternion matrix equations
Generalized Singular Value Decompositions for Tensors and Their Applications
Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation
Robust quaternion matrix completion with applications to image inpainting
Triple Decomposition and Tensor Recovery of Third Order Tensors
Quaternions and matrices of quaternions
The consistency and the general common solution to some quaternion matrix equations
Tensor completion by multi-rank via unitary transformation
Computing partial quaternion eigenpairs with quaternion shift
Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery
Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets
Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression
Low Tucker rank tensor completion using a symmetric block coordinate descent method
Quasi non-negative quaternion matrix factorization with application to color face recognition
Separable Quaternion Matrix Factorization for Polarization Images
Iterative solutions of generalized Sylvester quaternion tensor equations
A new Sylvester-type quaternion matrix equation model for color image data transmission

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