@article { author = {Karimi, Saeed}, title = {Global conjugate gradient method for solving large general Sylvester matrix equation}, journal = {Journal of Mathematical Modeling}, volume = {1}, number = {Issue 1}, pages = {15-27}, year = {2013}, publisher = {University of Guilan}, issn = {2345-394X}, eissn = {2382-9869}, doi = {}, abstract = {In this paper, an iterative method is proposed for solving large general Sylvester matrix equation $AXB+CXD = E$, where $A \in R^{n\times n}$ , $C \in R^{n\times n}$ , $B \in R^{s\times s}$ and  $D \in R^{s\times s}$ are given matrices and $X \in R^{s\times s}$  is the unknown matrix. We present a global conjugate gradient (GL-CG) algo- rithm for solving linear system of equations with multiple right-hand sides. By defining a linear matrix operator and imposing some conditions on this operator, we demonstrate how to employ the GL-CG algorithm for solving large general Sylvester matrix equation. Finally, some numerical experi- ments are given to illustrate the efficiency of the method.}, keywords = {}, url = {https://jmm.guilan.ac.ir/article_94.html}, eprint = {https://jmm.guilan.ac.ir/article_94_1e1d28447d734ae7d2d734743b7e1042.pdf} }