The solution of the matrix equation \(AXB=D\) and The system of matrix equations \(AX=C\), \(XB=D\) with \(X^*X=I_p\)
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Publication:2073068
DOI10.1016/j.amc.2021.126789OpenAlexW4200586751MaRDI QIDQ2073068
Lina Liu, Huiting Zhang, Hao Liu, Yongxin Yuan
Publication date: 27 January 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126789
Cites Work
- The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\)
- Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning
- On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
- The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
- Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
- Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)
- Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem
- Some properties of submatrices in a solution to the matrix equations \(AX=C, XB=D\)
- Second order adjoint matrix equations
- Symmetric solutions of linear matrix equations by matrix decompositions
- Generalized inverses. Theory and applications.
- Stationary splitting iterative methods for the matrix equation \(AXB=C\)
- Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
- The matrix equations \(AX=B, XC=D\) with \(PX= sXP\) constraint
- The reflexive solutions of the matrix equation \(AX B = C\)
- Relations between least-squares and least-rank solutions of the matrix equation \(AXB=C\)
- Least squares solutions to the equations \(AX = B, XC = D\) with some constraints
- Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
- All covariance controllers for linear discrete-time systems
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