gauss elimination python code wits partial pirvoting

Scary Sloth answered on August 14, 2022 Popularity 5/10 Helpfulness 1/10

answer gauss elimination python code wits partial pirvoting

related gauss elimination python code wits partial pirvoting

gauss elimination python code wits partial pirvoting

Comment

from numpy import array, zeros, fabs, linalg

a = array([[0, 6, -1, 2, 2],
           [0, 3, 4, 1, 7],
           [5, 1, 0, 3, -1],
           [3, 1, 3, 0, 2],
           [4, 4, 1, -2, 1]], float)
#the b matrix constant terms of the equations 
b = array([5, 7, 2, 3, 4], float)

print("Solution by NumPy:")


print(linalg.solve(a, b))

n = len(b)
x = zeros(n, float)

#first loop specifys the fixed row
for k in range(n-1):
    if fabs(a[k,k]) < 1.0e-12:
        
        for i in range(k+1, n):
            if fabs(a[i,k]) > fabs(a[k,k]):
                a[[k,i]] = a[[i,k]]
                b[[k,i]] = b[[i,k]]
                break

 #applies the elimination below the fixed row

    for i in range(k+1,n):
        if a[i,k] == 0:continue

        factor = a[k,k]/a[i,k]
        for j in range(k,n):
            a[i,j] = a[k,j] - a[i,j]*factor
            #we also calculate the b vector of each row
        b[i] = b[k] - b[i]*factor
print(a)
print(b)


x[n-1] = b[n-1] / a[n-1, n-1]
for i in range(n-2, -1, -1):
    sum_ax = 0
  
    for j in range(i+1, n):
        sum_ax += a[i,j] * x[j]
        
    x[i] = (b[i] - sum_ax) / a[i,i]

print("The solution of the system is:")
print(x)

Popularity 5/10 Helpfulness 1/10 Language typescript

Source: www.delftstack.com

Tags: gauss partial python typescript

Link to this answer
Share Copy Link

Contributed on Aug 14 2022

Scary Sloth

0 Answers Avg Quality 2/10

Closely Related Answers

gauss elimination python code wits partial pirvoting

Comment

from numpy import array, zeros, fabs, linalg

a = array([[0, 6, -1, 2, 2],
           [0, 3, 4, 1, 7],
           [5, 1, 0, 3, -1],
           [3, 1, 3, 0, 2],
           [4, 4, 1, -2, 1]], float)
#the b matrix constant terms of the equations 
b = array([5, 7, 2, 3, 4], float)

print("Solution by NumPy:")


print(linalg.solve(a, b))

n = len(b)
x = zeros(n, float)

#first loop specifys the fixed row
for k in range(n-1):
    if fabs(a[k,k]) < 1.0e-12:
        
        for i in range(k+1, n):
            if fabs(a[i,k]) > fabs(a[k,k]):
                a[[k,i]] = a[[i,k]]
                b[[k,i]] = b[[i,k]]
                break

 #applies the elimination below the fixed row

    for i in range(k+1,n):
        if a[i,k] == 0:continue

        factor = a[k,k]/a[i,k]
        for j in range(k,n):
            a[i,j] = a[k,j] - a[i,j]*factor
            #we also calculate the b vector of each row
        b[i] = b[k] - b[i]*factor
print(a)
print(b)


x[n-1] = b[n-1] / a[n-1, n-1]
for i in range(n-2, -1, -1):
    sum_ax = 0
  
    for j in range(i+1, n):
        sum_ax += a[i,j] * x[j]
        
    x[i] = (b[i] - sum_ax) / a[i,i]

print("The solution of the system is:")
print(x)

Popularity 5/10 Helpfulness 1/10 Language typescript

Source: www.delftstack.com

Tags: python typescript partial gauss

Link to this answer
Share Copy Link

Contributed on Aug 14 2022

Scary Sloth

0 Answers Avg Quality 2/10

gauss elimination python code wits partial pirvoting

Contents

More Related Answers

gauss elimination python code wits partial pirvoting

Closely Related Answers

gauss elimination python code wits partial pirvoting

Grepper

Documentation

Social

Legal

Contact

Oops, You will need to install Grepper and log-in to perform this action.