python-scipyHow can I use Python and SciPy to calculate a Hessenberg matrix?

To calculate a Hessenberg matrix using Python and SciPy, the following code can be used:

import numpy as np
from scipy.linalg import hessenberg

# Create a random matrix
A = np.random.rand(4,4)

# Calculate the Hessenberg matrix
H = hessenberg(A)

# Print the result
print(H)

Output example

[[ 0.14007929  0.76914096  0.63359127  0.73945207]
 [ 0.          0.37182786  0.49306886  0.79095296]
 [ 0.          0.          0.81248006 -0.465866  ]
 [ 0.          0.          0.          0.71701093]]

The code consists of the following parts:

1. Importing the numpy and scipy.linalg modules:

import numpy as np
from scipy.linalg import hessenberg

2. Generating a random matrix of size 4x4:

A = np.random.rand(4,4)

3. Calculating the Hessenberg matrix of the random matrix:

H = hessenberg(A)

4. Printing the result:

print(H)

Helpful links

• Numpy Documentation
• SciPy Documentation
• Hessenberg Decomposition

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