On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
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Publication:2390014
DOI10.1016/j.cam.2009.01.013zbMath1390.15055OpenAlexW1658371100MaRDI QIDQ2390014
Guang-Ren Duan, Hao-Qian Wang, Ai-guo Wu
Publication date: 20 July 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.01.013
Related Items (21)
An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C ⋮ Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle ⋮ Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E ⋮ New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation ⋮ New proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equation ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation ⋮ Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns ⋮ A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\) ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ The complete solution to the Sylvester-polynomial-conjugate matrix equations ⋮ A real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equation ⋮ Finite iterative solutions to coupled Sylvester-conjugate matrix equations ⋮ Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications ⋮ Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\) ⋮ Iterative algorithms for solving a class of complex conjugate and transpose matrix equations ⋮ Iterative solutions to the extended Sylvester-conjugate matrix equations ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Least squares solution of the quaternion matrix equation with the least norm ⋮ Two modified least-squares iterative algorithms for the Lyapunov matrix equations
Cites Work
- Unnamed Item
- An explicit solution to the matrix equation \(AX - XF = BY\)
- On solving the Lyapunov and Stein equations for a companion matrix
- On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
- Controllability, observability and the solution of AX-XB=C
- On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
- A Faddeev sequence method for solving Lyapunov and Sylvester equations
- Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
- A Hessenberg-Schur method for the problem AX + XB= C
- Formulae for the solution of Lyapunov matrix equations
- An algorithm for solving the matrix equationX = FXFT+S
- Extensions to the Bartels-Stewart algorithm for linear matrix equations
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- A Finite Series Solution of the Matrix Equation $AX - XB = C$
- Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
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