scipy.linalg.lapack.chesv#

scipy.linalg.lapack.chesv(a, b, lwork=max(n, 1), lower=0, overwrite_a=0, overwrite_b=0) = <flapack function chesv>#

Solve a @ x = b for a Hermitian indefinite a by Bunch-Kaufman factorization (LAPACK chesv).

Parameters:

andarray: Hermitian matrix of shape (n, n).
bndarray: Right-hand side(s) of shape (n, nrhs).
lworkint, optional: Size of the workspace. Default is max(n, 1). Use chesv_lwork for the optimal value.
lowerint, optional: If nonzero, the lower triangle of a is referenced; otherwise the upper. Default is 0.
overwrite_aint, optional: If nonzero, a may be overwritten in place. Default is 0.
overwrite_bint, optional: If nonzero, b may be overwritten in place. Default is 0.

Returns:

uduhndarray: The block diagonal D and the multipliers, packed into the triangle.
ipivndarray: Pivot indices describing the interchanges and the 1x1 / 2x2 block structure, 1-based. Pass them on to sytrs/sytri/sycon unchanged.
xndarray: Solution of the system.
infoint: 0 on success; if negative, the -info-th argument had an illegal value; if positive, d[info-1, info-1] is exactly zero and the solve failed.