Hi all,
I have asked the Microsoft AI
application contained in the Edge browser (Copilot):
Write me a Hansl script for a
Cholesky decomposition of a positive definite matrix.
The answer was
## Bing
Sure, here is a simple Hansl script for performing a Cholesky
decomposition of a positive definite matrix:
# Create a positive definite matrix
matrix A = {4,12,-16;12,37,-43;-16,-43,98}
# Perform Cholesky decomposition
matrix L = cholesky(A)
# Print the lower triangular matrix
print L
In this script, we first create a positive definite matrix A.
Then, we use the cholesky function to perform the Cholesky
decomposition. The result is a lower triangular matrix L such
that A = L * L'. Finally, we print the matrix L.
Please replace the matrix A with your own positive definite
matrix. Note that the matrix must be symmetric and positive
definite for the Cholesky decomposition to be valid. If the
matrix is not positive definite, the cholesky function will
return an error.
Let me know if you need help with anything else! 😊
I find this quite impressive!
Ekkehart