辛算法的基础是辛空间、辛变换，类型是矩阵。
给出了一种构造完全随机的正交辛矩阵的数值实现方法。
And a numerical algorithm for constructing a random symplectic orthogonal matrix is put forward.
两个辛矩阵之和不能保辛，两个辛矩阵的乘积仍是辛矩阵。
The sum of two symplectic matrixes is not symplectic conservation. The product of two symplectic matrixes is symplectic conservation.
辛矩阵只能在乘法群下保辛，故传递辛矩阵的保辛摄动必须采用正则变换的乘法。
The symplectic conservative perturbation for a transfer symplectic matrix should be based on the canonical transformation method.
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