Decomposition for a quaternion tensor triplet with applications
type: Item
instance of: scholarly article
title: Decomposition for a quaternion tensor triplet with applications
zbMATH Open document ID: 1481.15027
author: Zhuo-Heng He
author: C. Navasca
author: Xiang-Xiang Wang
published in: Advances in Applied Clifford Algebras
publication date: 2022-01-17T00:00:00Z
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 7458056
zbMATH Keywords: tensor decomposition
zbMATH Keywords: quaternion algebra
zbMATH Keywords: tensor SVD
MaRDI profile type: Publication
full work available at URL: s00006-021-01195-8
OpenAlex ID: W4205586288
cites work: Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
cites work: Solving multilinear systems via tensor inversion
cites work: Color image analysis by quaternion-type moments
cites work: Symmetric Tensors and Symmetric Tensor Rank
cites work: The first 50 years of electronic watermarking
cites work: A Multilinear Singular Value Decomposition
cites work: Generalizations of the Singular Value and QR-Decompositions
cites work: \(M\)-tensors and nonsingular \(M\)-tensors
cites work: A simultaneous decomposition for three quaternion tensors with applications in color video signal processing
cites work: On the general solutions to some systems of quaternion matrix equations
cites work: Pure PSVD approach to Sylvester-type quaternion matrix equations
cites work: The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity
cites work: Some new results on a system of Sylvester-type quaternion matrix equations
cites work: A real quaternion matrix equation with applications
cites work: Theη-bihermitian solution to a system of real quaternion matrix equations
cites work: A quaternion matrix equation with two different restrictions
cites work: Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices
cites work: The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
cites work: The complete equivalence canonical form of four matrices over an arbitrary division ring
cites work: A simultaneous decomposition for seven matrices with applications
cites work: Generalized Singular Value Decompositions for Tensors and Their Applications
cites work: Some applications of a decomposition for five quaternion matrices in control system and color image processing
cites work: Robust quaternion matrix completion with applications to image inpainting
cites work: Lanczos method for large-scale quaternion singular value decomposition
cites work: Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
cites work: Factorization strategies for third-order tensors
cites work: Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
cites work: Tensor Decompositions and Applications
cites work: Determinantal representations of solutions to systems of quaternion matrix equations
cites work: Generalization of superalgebras to color superalgebras and their representations
cites work: Right eigenvalue equation in quaternionic quantum mechanics
cites work: Some convergence results on the regularized alternating least-squares method for tensor decomposition
cites work: Generalized tensor function via the tensor singular value decomposition based on the T-product
cites work: Topics in quaternion linear algebra
cites work: Handwritten digit classification using higher order singular value decomposition
cites work: Robust tensor completion using transformed tensor singular value decomposition
cites work: Augmented second-order statistics of quaternion random signals
cites work: A system of real quaternion matrix equations with applications
cites work: Theory and computation of tensors. Multi-dimensional arrays
cites work: The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations
cites work: On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)
cites work: Decompositions of third‐order tensors: HOSVD, T‐SVD, and Beyond
cites work: The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
DOI: 10.1007/S00006-021-01195-8
description: scientific article; zbMATH DE number 7458056