NumPy: Get the qr factorization of a given array
NumPy: Linear Algebra Exercise-17 with Solution
Write a NumPy program to get the qr factorization of a given array.
Sample Solution:
Python Code :
import numpy as np
a = np.array([[4, 12, -14], [12, 37, -53], [-14, -53, 98]], dtype=np.int32)
print("Original array:")
print(a)
q, r = np.linalg.qr(a)
print("qr factorization of the said array:")
print( "q=\n", q, "\nr=\n", r)
Sample Output:
Original array: [[ 4 12 -14] [ 12 37 -53] [-14 -53 98]] qr factorization of the said array: q= [[-0.21199958 -0.27930103 0.93650794] [-0.63599873 -0.68815735 -0.34920635] [ 0.74199852 -0.66964945 -0.03174603]] r= [[ -18.86796226 -65.4018692 109.39178122] [ 0. 6.67798664 -25.24309237] [ 0. 0. 2.28571429]]
Python-Numpy Code Editor:
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Previous: Write a NumPy program to get the lower-triangular L in the Cholesky decomposition of a given array.
Next: Write a NumPy program to compute the factor of a given array by Singular Value Decomposition.
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Documentation references for the modules, constants and functions used above:
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- The __file__ constant
- os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
- os.path.dirname(path) (returns "the directory name of pathname path")
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