The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\)
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Publication:1661280
DOI10.1016/j.jfranklin.2017.12.023zbMath1393.93055OpenAlexW2783373164MaRDI QIDQ1661280
Jianli Zhao, Ying Li, Fengxia Zhang, Musheng Wei
Publication date: 16 August 2018
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.12.023
Moore-Penrose generalized inversecomplex matrix equation \(AXB+CXD=E\)inimal norm least squares Hermitian solution
Theory of matrix inversion and generalized inverses (15A09) Linear systems in control theory (93C05) Matrix equations and identities (15A24)
Related Items (10)
An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E ⋮ An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C ⋮ A unified treatment for the restricted solutions of the matrix equation \(AXB=C\) ⋮ A general method for solving linear matrix equations of elliptic biquaternions with applications ⋮ Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C ⋮ A new image restoration model associated with special elliptic quaternionic least-squares solutions based on LabVIEW ⋮ Explicit solutions of conjugate, periodic, time-varying Sylvester equations ⋮ An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) ⋮ Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system ⋮ AN ITERATIVE ALGORITHM FOR SOLVING A CLASS OF GENERALIZED COUPLED SYLVESTER-TRANSPOSE MATRIX EQUATIONS OVER BISYMMETRIC OR SKEW-ANTI-SYMMETRIC MATRICES
Cites Work
- Unnamed Item
- Unnamed Item
- Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle
- Constraint generalized Sylvester matrix equations
- Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm
- A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations
- Finite iterative algorithms for extended Sylvester-conjugate matrix equations
- Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices
- Finite iterative solutions to coupled Sylvester-conjugate matrix equations
- Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
- Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems
- Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)
- The general coupled matrix equations over generalized bisymmetric matrices
- On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
- Iterative solution of linear systems in the 20th century
- A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators
- On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations
- Finite iterative solutions to periodic Sylvester matrix equations
- Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications
- Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm
- Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
- Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations
- Convergence of gradient-based iterative solution of coupled Markovian jump Lyapunov equations
- On the global Krylov subspace methods for solving general coupled matrix equations
- An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Solvability conditions and general solution for mixed Sylvester equations
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Gradient based iterative algorithms for solving a class of matrix equations
- Solving the mixed Sylvester matrix equations by matrix decompositions
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