摘要
本文给出v∈[0,∞)和z∈(-∞,0]时标准不完全Gamma函数的两个基本不等式。由此出发,推导出这种函数向前递推方案的误差规律。此误差规律所预计的相对误差与数值实验给出的相对误差下限在v与z的定义域内几乎重合。
Two inequalities of incomplete Gamma function are given for the domain v∈ [0, -∞) and z∈ (-∞,0] .Based upon the inequalities, we derive the round off error propagation regularity of the forward recurrence scheme. Our numerical experiments indicate that the relative error predicated by our regularity almost coincides with that from authentic regularity in the whole domain of v and z .
出处
《计算物理》
CSCD
北大核心
1992年第A02期714-716,共3页
Chinese Journal of Computational Physics
关键词
分子积分
误差分析
Γ函数
molecular integral
incomplete Gamma function
error analysis
numerical experiment
inequality.
