Singular value decomposition of third order quaternion tensors

DOI10.1016/j.aml.2021.107597zbMath1486.65040OpenAlexW3195072012WikidataQ114210554 ScholiaQ114210554MaRDI QIDQ2236755

Zhenyu Ming, Zhenzhi Qin, Li-ping Zhang

Publication date: 26 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107597

zbMATH Keywords

singular value decompositionlow-rank approximationquaternion tensors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Multilinear algebra, tensor calculus (15A69) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (5)

A fast sketching-based algorithm for rank-\((L,L,1)\) block term decomposition ⋮ Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery ⋮ The perturbation of the Moore-Penrose inverse of quaternion tensor via the QT-product ⋮ Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression ⋮ Tensor form of GPBiCG algorithm for solving the generalized Sylvester quaternion tensor equations

Cites Work

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• A quaternion framework for color image smoothing and segmentation
• Factorization strategies for third-order tensors
• Lanczos method for large-scale quaternion singular value decomposition
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Hypercomplex Fourier Transforms of Color Images
• Robust quaternion matrix completion with applications to image inpainting
• Quaternions and matrices of quaternions

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