文件名称:shuzhifenxi
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相关知识:通过n+1个节点的次数不超过n的Lagrange插值多项式为:
其中,Lagrange插值基函数 ,k=0,1,…,n。
实验用例: 已知函数y=f(x)的一张表:
x 0 10 20 30 40 50 60 70 80 90 100 110 120
y 5 1 7.5 3 4.5 8.8 15.5 6.5 -5 -10 -2 4.5 7
试验要求:利用Lagrange插值多项式 求被插值函数f(x)在点x=65处的近似值。建议:画出Lagrange插值多项式 的曲线。
-Related knowledge: By n+ 1 the number of nodes does not exceed the Lagrange interpolation polynomial n as follows: one, Lagrange interpolation basis function, k = 0,1, ..., n. Experimental use case: a known function y = f (x) of a table: x 0 10 20 30 40 50 60 70 80 90 100 110 120y 5 1 7.5 3 4.5 8.8 15.5 6.5-5-10-2 4.5 7 test requirements: for the use of Lagrange interpolation polynomial interpolation function was f (x) at the point x = 65 Department approximation. Recommendations: Lagrange interpolation polynomial to draw the curve.
其中,Lagrange插值基函数 ,k=0,1,…,n。
实验用例: 已知函数y=f(x)的一张表:
x 0 10 20 30 40 50 60 70 80 90 100 110 120
y 5 1 7.5 3 4.5 8.8 15.5 6.5 -5 -10 -2 4.5 7
试验要求:利用Lagrange插值多项式 求被插值函数f(x)在点x=65处的近似值。建议:画出Lagrange插值多项式 的曲线。
-Related knowledge: By n+ 1 the number of nodes does not exceed the Lagrange interpolation polynomial n as follows: one, Lagrange interpolation basis function, k = 0,1, ..., n. Experimental use case: a known function y = f (x) of a table: x 0 10 20 30 40 50 60 70 80 90 100 110 120y 5 1 7.5 3 4.5 8.8 15.5 6.5-5-10-2 4.5 7 test requirements: for the use of Lagrange interpolation polynomial interpolation function was f (x) at the point x = 65 Department approximation. Recommendations: Lagrange interpolation polynomial to draw the curve.
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复件 (2) 实验4.C