The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
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Publication:1008587
DOI10.1016/j.amc.2008.12.059zbMath1168.15008OpenAlexW1493099597MaRDI QIDQ1008587
Publication date: 30 March 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.059
matrix equationmatrix nearness problem(\(P, Q\)) generalized anti-reflexive matrix(\(P, Q\)) generalized reflexive matrix
Related Items (max. 100)
The common \((P,Q)\) generalized reflexive and anti-reflexive solutions to \(AX=B\) and \(XC=D\) ⋮ The extremal ranks and inertias of matrix expressions with respect to generalized reflexive and anti-reflexive matrices with applications ⋮ The inverse eigenproblem with a submatrix constraint and the associated approximation problem for \((R,S)\)-symmetric matrices ⋮ Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations ⋮ A finite iterative algorithm for solving the generalized \((P,Q)\)-reflexive solution of the linear systems of matrix equations ⋮ An iterative algorithm for the least squares generalized reflexive solutions of the matrix equations \(AXB = E\), \(CXD = F\) ⋮ An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices ⋮ Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions ⋮ The inverse eigenvalue problem of generalized reflexive matrices and its approximation ⋮ Two kinds of condition numbers for the quadratic matrix equation ⋮ The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\) ⋮ An iterative algorithm for the generalized reflexive solutions of the generalized coupled Sylvester matrix equations ⋮ The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices ⋮ The Hermitian \(\{P,\mathrm k+1\}\)-(anti-)reflexive solutions of a linear matrix equation ⋮ On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems ⋮ An iterative algorithm for solving the generalized Sylvester-conjugate matrix equation ⋮ Iterative algorithm for solving a class of general Sylvester-conjugate matrix equation \(\sum_{i=1}^sA_iV+\sum_{j=1}^tB_jW=\sum_{l=1}^mE_l\overline VF_l+C\) ⋮ Completion of symmetric orthogonal matrices and corresponding matrix equation problem ⋮ The anti-reflexive solutions for the matrix equation \( AV + BW = EVF + C \) ⋮ The symmetric solutions of the matrix inequalityAX≥Bin least-squares sense ⋮ Iterative algorithm for the reflexive solutions of the generalized Sylvester matrix equation ⋮ Modified CGLS iterative algorithm for solving the generalized Sylvester-conjugate matrix equation ⋮ Generalized reflexive and anti-reflexive solutions of \(AX=B\)
Cites Work
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- The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
- On the symmetric solutions of linear matrix equations
- Singular value and generalized singular value decompositions and the solution of linear matrix equations
- The Re-positive definite solutions to the matrix inverse problem \(AX = B\)
- Vector structures and solutions of linear matrix equations
- Symmetric solutions of linear matrix equations by matrix decompositions
- The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
- A Constrained Procrustes Problem
- Generalized Reflexive Matrices: Special Properties and Applications
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