[2022 Fall] Assignment7-3¶

Course: AP3021

Q7-3¶

Use Newton’s interpolating polynomials of order 1 to 4 to get f(4). Choose your base points to attain good accuracy.(Python) (繪圖、值)¶

In [1]:

def f(m, n):
    
    a = (y[m] - y[n]) / (x[m] - x[n])

    return a

def f(m, n): a = (y[m] - y[n]) / (x[m] - x[n]) return a

In [2]:

x = [1, 2,  3,  5,   7,   8]
y = [3, 6, 19, 99, 291, 444]
a = 4

ans = y[2] + (a - x[2]) * f(3, 2)

print("Newton's interpolating polynomials f(4) =", ans)

x = [1, 2, 3, 5, 7, 8] y = [3, 6, 19, 99, 291, 444] a = 4 ans = y[2] + (a - x[2]) * f(3, 2) print("Newton's interpolating polynomials f(4) =", ans)

Newton's interpolating polynomials f(4) = 59.0

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Last update: 2024-04-27