方阵高次幂的求解研究  

Study on Solutions of High-order Powers of Square Matrix

作　　者：闫树熙[1] 

机构地区：[1]榆林学院数学与应用数学系,陕西榆林719000

出　　处：《榆林学院学报》2012年第4期40-43,共4页Journal of Yulin University

基　　金：榆林学院高层次人才科研启动基金项目(10GK23)

摘　　要：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.

关 键 词：方阵 高次幂 特征多项式 对角阵 JORDAN标准形 

分 类 号：O151.21[理学—数学]