An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C
DOI10.1080/03081087.2020.1806197OpenAlexW3080702618MaRDI QIDQ5038140
Jianli Zhao, Ying Li, Fengxia Zhang, Musheng Wei
Publication date: 29 September 2022
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2020.1806197
quaternion matrix equationleast-squares solutionreal representation matrix\(j\)-self-conjugate matrixanti-\(j\)-self-conjugate matrix
Numerical computation of solutions to systems of equations (65H10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Direct numerical methods for linear systems and matrix inversion (65F05)
Cites Work
- Unnamed Item
- Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\)
- Least squares solutions with special structure to the linear matrix equation \(AXB = C\)
- Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
- Common Hermitian least squares solutions of matrix equations \(A_1XA^*_1=B_1\) and \(A_2XA^*_2=B_2\) subject to inequality restrictions
- Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications
- Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems
- Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
- The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
- A system of real quaternion matrix equations with applications
- Iterative methods for \(X-AXB=C\)
- On the generalized ADI method for the matrix equation \(X- AXB\)=\(C\)
- The spectral theorem in quaternions
- The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\)
- Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems
- Constrained two-sided coupled Sylvester-type quaternion matrix equations
- Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications
- An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\)
- The matrix nearness problem associated with the quaternion matrix equation \(AXA^H+BYB^H=C\)
- Cramer's rule for a system of quaternion matrix equations with applications
- On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
- On solutions of the generalized Stein quaternion matrix equation
- On a solution of the quaternion matrix equation \(X-A \widetilde{X} B=C\) and its application
- Least squares solution of the quaternion matrix equation with the least norm
- Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[XtildeF=C]
- Hypercomplex correlation techniques for vector images
This page was built for publication: An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C
