(\(R,S\))-conjugate solution to a pair of linear matrix equations
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Publication:708134
DOI10.1016/j.amc.2010.04.053zbMath1201.15006OpenAlexW2083276713MaRDI QIDQ708134
Guang-Jing Song, Qing-Wen Wang, Hai-Xia Chang
Publication date: 11 October 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.053
algorithmnumerical examplesmatrix equationleast squares solutionapproximation problem(\(R,S\))-conjugate matrix
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Cites Work
- Unnamed Item
- Unnamed Item
- The matrix equations \(AX=C\), \(XB=D\)
- A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
- Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
- Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
- The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
- Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
- Ranks and the least-norm of the general solution to a system of quaternion matrix equations
- A system of real quaternion matrix equations with applications
- Singular value and generalized singular value decompositions and the solution of linear matrix equations
- Centrohermitian and skew-centrohermitian matrices
- On \(\kappa\)-real and \(\kappa\)-Hermitian matrices
- Characterization and properties of matrices with generalized symmetry or skew symmetry.
- A new approach to constrained total least squares image restoration
- Computing matrix-vector products with centrosymmetric and centro-Hermitian matrices
- 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
- \(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations
- Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
- The general solution to a system of real quaternion matrix equations
- Least-squares solution of inverse problem for Hermitian anti-reflexive matrices and its appoximation
- A note on computing matrix-vector products with generalized centrosymmetric (centro-Hermitian) matrices
- A system of four matrix equations over von Neumann regular rings and its applications
- On Centrohermitian Matrices
- Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
- A Hermitian Toeplitz matrix is unitarily similar to a real Toeplitz-plus-Hankel matrix
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
- Characterization and Properties of (R,S)-Symmetric, (R,S)-Skew Symmetric, and (R,S)-Conjugate Matrices
- Reflexive solution to a system of matrix equations