Using the divided difference method, print out the Hermite polynomial approximation matrix

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Solve in python.

Expected output: 

[[ 0. 1. 0. 0. 0. 0. ]
[ 0. 1. 1.06 0. 0. 0. ]
[ 1. 2. 1. -0.06 0. 0. ]
[ 1. 2. 1.23 0.23 0.29 0. ]
[ 2. 4. 2. 0.77 0.27 -0.01 ]
[ 2. 4. 1.55 -0.45 -1.22 -0.745]]

 
 

 

4. Using the divided difference method, print out the Hermite polynomial approximation
matrix
x f(x)
0
1
2
f(x)
1
2
4
f'(x)
1.06
1.23
1.55
Transcribed Image Text:4. Using the divided difference method, print out the Hermite polynomial approximation matrix x f(x) 0 1 2 f(x) 1 2 4 f'(x) 1.06 1.23 1.55
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I'm getting an error message " 

H[5,:] = np.array([2, 4, z[2], f1[2], f2[0], f2[0]*(2*x[2]-x[1]-x[0])])
IndexError: index 0 is out of bounds for axis 0 with size 0"

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