分子积分中辅助函数的任意精度计算(Ⅲ)——不完全Gamma函数F_m(x)向后递推算法的优化

Computation of Auxiliary Functions in Molecular Integrals up to Arbitrary Accuracy(Ⅲ)——Optimization of Backword Recursive Algorithm of Incomplete Gamma Function Fm(x)

对不完全Gamma函数F_m(x)两种向后递推算法(级数展开和连分式逼近)进行了严格的误差分析.论证了这两种算法的稳定条件,给出了总体优化方案,并对数值实验结果进行了讨论.

Strict error analysis is carried out for two kinds of backward recursive algorithm,series expansion and continued fraction approximation,of incomplete Gamma function Fm(x).We obtain the conditions of numerical stability for both algorithms and further suggest an optimal strategy with discussions.