In this paper, an iterative method is proposed for solving large general Sylvester matrix equation , where , , and are given matrices and 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.
Karimi, S. (2013). Global conjugate gradient method for solving large general Sylvester matrix equation. Journal of Mathematical Modeling, 1(Issue 1), 15-27.
MLA
Karimi, S. . "Global conjugate gradient method for solving large general Sylvester matrix equation", Journal of Mathematical Modeling, 1, Issue 1, 2013, 15-27.
HARVARD
Karimi, S. (2013). 'Global conjugate gradient method for solving large general Sylvester matrix equation', Journal of Mathematical Modeling, 1(Issue 1), pp. 15-27.
CHICAGO
S. Karimi, "Global conjugate gradient method for solving large general Sylvester matrix equation," Journal of Mathematical Modeling, 1 Issue 1 (2013): 15-27,
VANCOUVER
Karimi, S. Global conjugate gradient method for solving large general Sylvester matrix equation. Journal of Mathematical Modeling, 2013; 1(Issue 1): 15-27.
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