`scipy.linalg._flapack:sgtsv`

Signature

def sgtsv(dl, d, du, b, overwrite_dl = 0, overwrite_d = 0, overwrite_du = 0, overwrite_b = 0)

Solve a @ x = b for a tridiagonal a by Gaussian elimination with partial pivoting (LAPACK sgtsv).

dl : ndarray: Subdiagonal elements, length n - 1.
d : ndarray: Diagonal elements, length n.
du : ndarray: Superdiagonal elements, length n - 1.
b : ndarray: Right-hand side(s) of shape (n, nrhs).
overwrite_dl : int, optional: If nonzero, dl may be overwritten in place. Default is 0.
overwrite_d : int, optional: If nonzero, d may be overwritten in place. Default is 0.
overwrite_du : int, optional: If nonzero, du may be overwritten in place. Default is 0.
overwrite_b : int, optional: If nonzero, b may be overwritten in place. Default is 0.

du2 : ndarray: Second superdiagonal of U in the leading n - 2 entries, written over dl; the final entry is not part of the factorization.
d : ndarray: Diagonal of U.
du : ndarray: First superdiagonal of U.
x : ndarray: Solution of the system.
info : int: 0 on success; if negative, the -info-th argument had an illegal value; if positive, u[info-1, info-1] is exactly zero and the factor is singular.