基于连分式的简化拉普拉斯函数递推算法  

The Recurrence Computing of Simplified Laplace Function on Account of the Continued Fraction Expansion

作　　者：王兆胜[1] 

机构地区：[1]南京炮兵学院,南京211132

出　　处：《火力与指挥控制》2016年第11期48-50,55,共4页Fire Control & Command Control

摘　　要：根据简化拉普拉斯函数级数展开和将级数展开为连分式的方法,将简化拉普拉斯函数化为连分式形式。推导出基于连分式的简化拉普拉斯函数渐近分数的递推计算公式,讨论了递推计算中误差控制的方法。计算结果表明,该算法简单实用,在炮兵及防空兵火力毁伤概率计算中有应用价值。According to the series expansions of simplified Laplace function and the expansion method of series to continued fraction,the simplified Laplace function is transformed into continued fraction expansion. Specific recurrence formulas of convergents of simplified Laplace function based on continued fraction is given,method to control the error in recurrence computation is analyzed.Calculation result show the algorithm is simple and practical,and has application value on calculation of damage probability of artillery fire.

关 键 词：拉普拉斯函数 级数 连分式 渐近分数 近似计算 

分 类 号：TJ015[兵器科学与技术—兵器发射理论与技术]