2
Department of Mathematics Faculty of Mathematical Sciences Shahid Beheshti University, G.C., Evin, Tehran 19839 Iran
Abstract
A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$. An $ntimes n$ complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$). In this paper, we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexive and anti-reflexive matrices. The convergence of the iterative methods is also proposed. Finally, a numerical example is given to show the efficiency of the presented results.
Dehghan, M., & Hajarian, M. (2014). Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices. Bulletin of the Iranian Mathematical Society, 40(2), 295-323.
MLA
Mehdi Dehghan; Masoud Hajarian. "Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices". Bulletin of the Iranian Mathematical Society, 40, 2, 2014, 295-323.
HARVARD
Dehghan, M., Hajarian, M. (2014). 'Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices', Bulletin of the Iranian Mathematical Society, 40(2), pp. 295-323.
VANCOUVER
Dehghan, M., Hajarian, M. Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices. Bulletin of the Iranian Mathematical Society, 2014; 40(2): 295-323.
)