纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2015年
2期
234-237,242
,共5页
函数值确定%拉格朗日插值%计算机程序
函數值確定%拉格朗日插值%計算機程序
함수치학정%랍격랑일삽치%계산궤정서
confirmation of function value%Lagrange interpolation%computer program
快速确定一类以曲线图形形式出现的函数值，提出一种基于数值分析的计算方法．该算法以所给曲线上的点的函数值为基础，通过多次拉格朗日插值确定这类函数在任意点的函数值．实例计算显示，本文算法的平均相对误差为2.1％，所提算法易于通过编程在计算机上实现，且在计算精度和计算效率上均优于现有工程方法．
快速確定一類以麯線圖形形式齣現的函數值，提齣一種基于數值分析的計算方法．該算法以所給麯線上的點的函數值為基礎，通過多次拉格朗日插值確定這類函數在任意點的函數值．實例計算顯示，本文算法的平均相對誤差為2.1％，所提算法易于通過編程在計算機上實現，且在計算精度和計算效率上均優于現有工程方法．
쾌속학정일류이곡선도형형식출현적함수치，제출일충기우수치분석적계산방법．해산법이소급곡선상적점적함수치위기출，통과다차랍격랑일삽치학정저류함수재임의점적함수치．실례계산현시，본문산법적평균상대오차위2.1％，소제산법역우통과편정재계산궤상실현，차재계산정도화계산효솔상균우우현유공정방법．
In order to confirm the function value more precisely and quickly from a kind of func‐tion that was provided in the form of curve graph ,an algorithm was put forward on numerical value method .Based on the provided function values of the points that are in the curve ,the al‐gorithm confirmed the function value of any point by several times Lagrange interpolation .fur‐ther more ,the algorithm is easily carried out by computer program .In order to compare the al‐gorithm put forward in this paper with the traditional one ,a certain practical example was cal‐culated by the two algorithm respectively .The result is that the average relative error of the al‐gorithm put forward in this paper is 2.1% .This indicates that the algorithm put forward in this paper is better than the existing engineering method .
