Block-diagonalization of quaternion circulant matrices with applications
From MaRDI portal
Publication:6592216
DOI10.1137/23m1552115zbMATH Open1545.65144MaRDI QIDQ6592216
Michael Kwok-Po Ng, Junjun Pan
Publication date: 24 August 2024
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
tensorsingular value decompositiondiscrete Fourier transformcirculant matrixblock-diagonalizationquaternion
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50)
Cites Work
- Unnamed Item
- Factorization strategies for third-order tensors
- Tensor-tensor products with invertible linear transforms
- Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
- Fast iterative methods for least squares estimations
- Time-frequency analysis of bivariate signals
- Lanczos method for large-scale quaternion singular value decomposition
- Polarized Light and the Mueller Matrix Approach
- Robust tensor completion using transformed tensor singular value decomposition
- An Optimal Circulant Preconditioner for Toeplitz Systems
- A Quaternion Widely Linear Adaptive Filter
- Tensor Factorization for Low-Rank Tensor Completion
- Exact Tensor Completion Using t-SVD
- Spectral Analysis of Stationary Random Bivariate Signals
- An Order-$p$ Tensor Factorization with Applications in Imaging
- Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation
- Quaternion Non-Negative Matrix Factorization: Definition, Uniqueness, and Algorithm
- Quaternion Fourier Transforms for Signal and Image Processing
- Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
- Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
- Quaternions and matrices of quaternions
- Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression
- Separable Quaternion Matrix Factorization for Polarization Images
Related Items (1)
This page was built for publication: Block-diagonalization of quaternion circulant matrices with applications