TY - JOUR T1 - Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations JO - East Asian Journal on Applied Mathematics VL - 2 SP - 336 EP - 351 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.181117.250118b UR - https://global-sci.org/intro/article_detail/eajam/12209.html KW - Coupled Sylvester matrix equation, parameter iteration method, accelerating algorithm, convergence analysis. AB -

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.