摘要
针对可分型矩阵的特性,结合2N类算法为可分型指数矩阵的计算提出一种快速精细积分法.核心思想是:利用可分型矩阵中的子矩阵进行分块计算;增加Taylor展开式的保留项数,减少迭代次数.一方面,程序实现简便,另一方面,数值算例表明:对矩阵维数很大的可分型指数矩阵计算来说,本文的快速精细积分法减少了计算量和存储量,大大地提高了计算效率.
Based on the characteristics of the separable exponential matrix and the 2^N-type algorithm, a fast pre cise integration method for the separable exponential matrix was proposed. The key idea is that the block-matrix is computed based on the submatrix of the separable matrix,thus increasing the reserved item numbers in the Taylor series expansion and decreasing iterative times. On the one hand, the programming is easy. On the other hand, the numerical examples show that the method presented for the large dimension separable exponential matrix can reduce the computation and storage amount and greatly improve the calculation efficiency.
出处
《动力学与控制学报》
2010年第1期24-28,共5页
Journal of Dynamics and Control
关键词
可分型指数矩阵
2N类算法
快速精细积分法
子矩阵
separable exponential matrix, 2^N-type algorithm, fast precise integration method, submatrix
