方阵高次幂的求解研究

Study on Solutions of High-order Powers of Square Matrix

方阵高次幂的计算在控制理论、工程实践及经济管理中有着广泛的应用,其运算量较大且有难度,但针对不同类型的矩阵又有不同的运算方法,选择好的方法可简化计算.论文根据方阵特点,研究总结出若干种方阵高次幂的计算方法,并分别举例说明,以期不断改进技术领域中的算法实现。

The calculation of high - order powers of Square Matrix is used frequently in the control theory, engineer- ing practice and economic management, which is complicated and various. But if choosing better methods, it can simplify the calculation. This paper studies some feasible calculation methods for high - order powers of Square Ma-trix and gives relevant examples in order to improve its algorithm in technical fields progressively.