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gauss elimination python code

gauss elimination python code

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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This is gauss elimination python code. I want to solve gauss-jordan code with this code.

 

import numpy as np

A = np.array([[1.0, -1.0, 2.0, -1.0],

              [5.0,  8.0, 6.0,  3.0],

              [4.0,  2.0, 5.0,  3.0],

              [3.0,  2.0, 1.0,  4.0]])

 

b = np.array([2.0, 10.0, 3.0, 1.0])

x = np.zeros((4,))

 

for i in range(0,A.shape[0]):        

    for j in range(i+1, A.shape[0]):

        mul = A[j,i]/A[i,i]

        for k in range(i,A.shape[1]):

            A[j,k] -= mul*A[i,k]

        b[j] -= mul*b[i]

x[3] = b[3]/A[3,3]

for j in range (2,-1,-1):

    sum = b[j]

    for k in range(j+1,4):

        sum -= A[j,k] * x[k]

    x[j] = sum / A[j,j]

 

print(A)

print("x =",x)

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