A note on the backward error analysis for eigenvalue problems 关于矩阵特征值问题向后误差分析的注记
Backward error analysis of a class of the periodic symplectic matrices for eigenproblem 一类周期辛矩阵对特征值问题的向后误差分析
We get the perturbed system equivalent to the pseudo - symplectic numerical scheme by use of backward error analysis , and prove that this perturbed system is hamiltonian when truncating with less order than pseudo - symplectic order 利用向后误差分析的方法,得出拟辛数值方法所对应的扰动系统,证明了此扰动系统在小于拟辛阶的截断时,是一hamilton系统。