scipy.linalg.
cho_solve#
- scipy.linalg.cho_solve(c_and_lower, b, overwrite_b=False, check_finite=True)[source]#
- Solve the linear equations A x = b, given the Cholesky factorization of A. - Parameters:
- (c, lower)tuple, (array, bool)
- Cholesky factorization of a, as given by cho_factor 
- barray
- Right-hand side 
- overwrite_bbool, optional
- Whether to overwrite data in b (may improve performance) 
- check_finitebool, optional
- Whether to check that the input matrices contain only finite numbers. Disabling may give a performance gain, but may result in problems (crashes, non-termination) if the inputs do contain infinities or NaNs. 
 
- Returns:
- xarray
- The solution to the system A x = b 
 
 - See also - cho_factor
- Cholesky factorization of a matrix 
 - Examples - >>> import numpy as np >>> from scipy.linalg import cho_factor, cho_solve >>> A = np.array([[9, 3, 1, 5], [3, 7, 5, 1], [1, 5, 9, 2], [5, 1, 2, 6]]) >>> c, low = cho_factor(A) >>> x = cho_solve((c, low), [1, 1, 1, 1]) >>> np.allclose(A @ x - [1, 1, 1, 1], np.zeros(4)) True