수치해석, Numerical Analysis HW#4-3

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"수치해석"에 대한 내용입니다.

목차

1. Algorithm of Calculation
2. Result and Execution

본문내용

⦁Algorithm of Calculation
Polynomial interpolation Problem

(a)
[initialize]
Get n,k,m
Get X
Get z

[Iterate]
y_1 = sin(z) / (1 + pow(z, 2));
Do for j=k to k+m
T=y[j]
Do for i=k to k+m
if(i!=j) then T=T*(z-x[j])/(x[j]-x[i])
PofZ_1+PofZ_1+T
End

output(PofZ_1,y(z))

(b)
[Iterate]
b[0]=0
b[5]=0
Do for i=1 to 4
b[i] = 6 * (d_y[i] - d_y[i – 1])
end

a[0][0] = 1 a[0][1] = -1
a[5][4] = -1 a[5][5] = 1

Do for i=1 to 4
Do for j=i+1 to I+1
a[i][j] = h[i]
end
Do for i=1 to 4
Do for j=i to I
a[i][j] = h[i]
end
Do for i=1 to 4
Do for j=i-1 to i-1
a[i][j] = h[i – 1]

참고 자료

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