<正>笔者对Lyapunov矩阵方程AX+XB=C的迭代解法提出了一种修正方案。采用了矩阵的相似变换和并行算法处理,给出了计算复杂性、速度增长倍数和并行处理效率的指标,并证明了该修正方案是可行、有效的。

There is Lyapunov matrix equation AX+XB=C to be considered in many practical problems.Many papers give its theories and numerical methods.This paper presents a revised algorithm of iteration method for solving the Lyapunov matrix equation AX+XB=C.It uses matrix similarity transformation and parallel treatment and gives indexes of computer complex and speed multiplication and parallel efficiency.So,this algorithm proves feasible and efficient.