Iterative Algorithm For Solving A Class Of Complex Coefficient Matrix Equations

Applications in many practical problems might be solved by establishing all kinds of matrix equations.The numerical solving matrix equation method has important value and significance,which also attracts many scholars to carry out research.The main work is for a class of complex coefficient matrix equation AXB = C numerical study.By extending the DSS iterative algorithm proposed by Zheng et al.[36],a new type of solving the matrix equation is deduced the iterative algorithm(DSS algorithm).Then the convergence of DSS algorithm is analyzed and discussed,and the theoretical optimal parameters of DSS iterative algorithm are deduced.Finally,the validity of DSS iterative algorithm is verified by numerical experiment,and the DSS iteration algorithm is compared with the classic HSS iterative algorithm and the MHSS iterative algorithm,and it is found that the DSS iterative algorithm is more efficient and the iterative steps are more stable than the HSS iterative algorithm and the MHSS iterative algorithm when calculating the matrix equation of this type.