Solving the least squares (anti)-Hermitian solution for quaternion linear systems
type: Item
instance of: scholarly article
title: Solving the least squares (anti)-Hermitian solution for quaternion linear systems
author: Xueling Fan
author: Ying Li
author: Mingcui Zhang
author: Jianli Zhao
published in: Computational and Applied Mathematics
publication date: 2022-11-24T00:00:00Z
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 7622764
zbMATH Keywords: quaternion matrix equation
zbMATH Keywords: semi-tensor product of quaternion matrices
zbMATH Keywords: complex representation
zbMATH Keywords: color digital image restoration
MaRDI profile type: Publication
full work available at URL: s40314-022-02087-8
OpenAlex ID: W4307910078
cites work: Generalized inverses. Theory and applications.
cites work: Q3224871
cites work: A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices
cites work: An algebraic method for quaternion and complex least squares coneigen-problem in quantum mechanics
cites work: Two novel algebraic techniques for quaternion least squares problems in quaternionic quantum mechanics
cites work: An algebraic technique for total least squares problem in quaternionic quantum theory
cites work: Necessary and sufficient vertex partition conditions for input-output decoupling of Boolean control networks
cites work: Matrix approach to verification of finite multi-potential games
cites work: Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE) = (C,F)\)
cites work: Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a Boolean network
cites work: The least square solution with the least norm to a system of quaternion matrix equations
cites work: Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\)
cites work: The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra
cites work: A constrained system of matrix equations
cites work: Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm
cites work: Least squares Hermitian solution of the matrix equation \((AXB,CXD)=(E,F)\) with the least norm over the skew field of quaternions
cites work: On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration
cites work: Quaternions and matrices of quaternions
cites work: ${\cal H}$-Representation and Applications to Generalized Lyapunov Equations and Linear Stochastic Systems
cites work: Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications
cites work: An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E
DOI: 10.1007/S40314-022-02087-8
description: scientific article; zbMATH DE number 7622764