Randomized block Krylov subspace algorithms for low-rank quaternion matrix approximations

DOI10.1007/s11075-023-01662-2MaRDI QIDQ6543331

Mao-Lin Che, Chaoqian Li, Yonghe Liu, Fengsheng Wu

Publication date: 24 May 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

quaternion singular value decompositionblock Krylov iterationlow-rank quaternion matrix approximationrandomized quaternion singular value decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Randomized algorithms (68W20) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
• A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
• Denoising color images by reduced quaternion matrix singular value decomposition
• Algebraic algorithms for least squares problem in quaternionic quantum theory
• Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations
• Jacobi method for quaternion matrix singular value decomposition
• Tensor transform-based quaternion Fourier transform algorithm
• A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications
• Randomized quaternion QLP decomposition for low-rank approximation
• Lanczos method for large-scale quaternion singular value decomposition
• A Singular Value Thresholding Algorithm for Matrix Completion
• Computation of Generalized Matrix Functions
• Generalized sampling expansions associated with quaternion Fourier transform
• Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis
• Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss
• Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation
• Low-Rank Quaternion Approximation for Color Image Processing
• Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
• Numerical linear algebra in the streaming model
• Robust quaternion matrix completion with applications to image inpainting
• Streaming Low-Rank Matrix Approximation with an Application to Scientific Simulation
• Quaternion Fourier Transforms for Signal and Image Processing
• Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces
• Quaternions and matrices of quaternions
• Quaternion-based color image completion via logarithmic approximation

Related Items (1)

Krylov subspace methods based quaternion tensor form for generalized Sylvester quaternion tensor equation with application to color video restoration

This page was built for publication: Randomized block Krylov subspace algorithms for low-rank quaternion matrix approximations