A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\)
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Publication:2383647
DOI10.1016/j.amc.2006.12.026zbMath1133.65026OpenAlexW1664553927MaRDI QIDQ2383647
Xingping Sheng, Guo-Liang Chen
Publication date: 19 September 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.12.026
numerical examplesiterative methodleast norm solutionoptimal approximation solutionpair of linear matrix equations
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Cites Work
- A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
- Almost non-interacting control by measurement feedback
- Generalized inverses. Theory and applications.
- An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
- A common solution to a pair of linear matrix equations over a principal ideal domain
- An efficient iterative method for solving the matrix equationAXB +CYD =E
- A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications
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