Tue Oct 19 17:25:15 2021 toeplitz_cholesky_test(): Python version: 3.6.9 Test toeplitz_cholesky(). t_cholesky_lower_test Python version: 3.6.9 t_cholesky_lower computes the lower Cholesky factor of a positive semi-definite Toeplitz matrix. The Toeplitz matrix is defined by its first row. First row of Toeplitz matrix T: 0: 1 1: 0.5 2: -0.375 Computed lower Cholesky factor L: Col: 0 1 2 Row 0 : 1 0 0 1 : 0.5 0.866025 0 2 : -0.375 0.793857 0.478714 Product L*L': Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 toep_cholesky_lower_test Python version: 3.6.9 toep_cholesky_lower computes the lower Cholesky factor of a positive semi-definite Toeplitz matrix. The Toeplitz matrix is supplied as a (2,N) array. Compressed Toeplitz matrix G: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0 0.5 -0.375 Computed lower Cholesky factor L: Col: 0 1 2 Row 0 : 1 0 0 1 : 0.5 0.866025 0 2 : -0.375 0.793857 0.478714 Product L*L': Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 toeplitz_cholesky_lower_test Python version: 3.6.9 toeplitz_cholesky_lower computes the lower Cholesky factorization of a positive semi-definite Toeplitz matrix. The matrix is supplied as an NxN array. Toeplitz matrix A: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 Computed lower Cholesky factor L: Col: 0 1 2 Row 0 : 1 0 0 1 : 0.5 0.866025 0 2 : -0.375 0.793857 0.478714 Product LL': Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 t_cholesky_upper_test Python version: 3.6.9 t_cholesky_upper computes the upper Cholesky factor of a positive semi-definite Toeplitz matrix. The Toeplitz matrix is defined by its first row. First row of Toeplitz matrix T: 0: 1 1: 0.5 2: -0.375 Computed upper Cholesky factor R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0 0.866025 0.793857 2 : 0 0 0.478714 Product R'R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 toep_cholesky_upper_test Python version: 3.6.9 toep_cholesky_upper computes the upper Cholesky factor of a positive semi-definite Toeplitz matrix. The Toeplitz matrix is supplied as a (2,N) array. Compressed Toeplitz matrix G: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0 0.5 -0.375 Computed upper Cholesky factor R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0 0.866025 0.793857 2 : 0 0 0.478714 Product R'R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 toeplitz_cholesky_upper_test Python version: 3.6.9 toeplitz_cholesky_upper computes the upper Cholesky factorization of a positive semi-definite Toeplitz matrix. The matrix is supplied as an NxN array. Toeplitz matrix A: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 Computed upper Cholesky factor R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0 0.866025 0.793857 2 : 0 0 0.478714 Product R'R: Col: 0 1 2 Row 0 : 1 0.5 -0.375 1 : 0.5 1 0.5 2 : -0.375 0.5 1 toeplitz_cholesky_test(): Normal end of execution. Tue Oct 19 17:25:15 2021