On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\)
type: Item
instance of: scholarly article
title: On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\)
zbMATH Open document ID: 1386.15036
author: Shifang Yuan
author: Qing-Wen Wang
author: Yi-Bin Yu
author: Yong Tian
published in: Advances in Applied Clifford Algebras
publication date: 2017-12-18T00:00:00Z
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6819757
zbMATH Keywords: matrix equation
zbMATH Keywords: Kronecker product
zbMATH Keywords: split quaternion matrix
MaRDI profile type: Publication
full work available at URL: s00006-017-0806-y
OpenAlex ID: W2783682757
cites work: Q4913411
cites work: Generalized inverses. Theory and applications.
cites work: Coupled Sylvester-type Matrix Equations and Block Diagonalization
cites work: On eigenvalues of split quaternion matrices
cites work: Two-sided linear split quaternionic equations withnunknowns
cites work: On complex split quaternion matrices
cites work: The spectral theorem in quaternions
cites work: Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
cites work: Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications
cites work: A canonical form for pencils of matrices with applications to asymptotic linear programs
cites work: Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
cites work: SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42
cites work: Cramer's rule for some quaternion matrix equations
cites work: Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
cites work: Best Approximate Solution of Matrix Equation AXB+CYD=E
cites work: L-structured matrices and linear matrix equations∗
cites work: Solvability of \(AXB - CXD = E\) in the operators algebra \(B(H)\)
cites work: The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
cites work: Rotations with unit time-like quaternions in Minkowski 3-space
cites work: Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\)
cites work: On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations
cites work: Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$
cites work: Erratum to: ``Centrohermitian and skew-Centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE)=(C,F)\)''
cites work: Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[Xtilde]F=C
cites work: Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
cites work: A system of matrix equations and its applications
cites work: Solvability conditions and general solution for mixed Sylvester equations
cites work: Ranks and the least-norm of the general solution to a system of quaternion matrix equations
cites work: On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
cites work: Solving the generalized Sylvester matrix equation \(AV+BW=EVF\) via a Kronecker map
cites work: Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) 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: L-structured quaternion matrices and quaternion linear matrix equations
cites work: Quaternions and matrices of quaternions
cites work: Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications
DOI: 10.1007/S00006-017-0806-Y
description: scientific article; zbMATH DE number 6819757