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solveh_banded(ab, b, overwrite_ab=0, overwrite_b=0, lower=0)
Solve equation a x = b. a is Hermitian positive-definite banded matrix.
The matrix a is stored in ab either in lower diagonal or upper diagonal ordered form:
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ab[u + i - j, j] == a[i,j] (if upper form; i = j)
Example of ab (shape of a is (6,6), u=2):
upper form:
* * a02 a13 a24 a35
* a01 a12 a23 a34 a45
a00 a11 a22 a33 a44 a55
lower form:
a00 a11 a22 a33 a44 a55
a10 a21 a32 a43 a54 *
a20 a31 a42 a53 * *
Cells marked with * are not used.
Parameters
ab : array, shape (M, u + 1)
Banded matrix
b : array, shape (M,) or (M, K)
Right-hand side
overwrite_ab : boolean
Discard data in ab (may enhance performance)
overwrite_b : boolean
Discard data in b (may enhance performance)
lower : boolean
Is the matrix in the lower form. (Default is upper form)
Returns
c : array, shape (M, u+1)
Cholesky factorization of a, in the same banded format as ab
x : array, shape (M,) or (M, K)
The solution to the system a x = b
det(a, overwrite_a=0)
Compute the determinant of a matrix
Parameters
a : array, shape (M, M)
Returns
det : float or complex
Determinant of a
3.7. Linear algebra (scipy.linalg) 219