bundles / scipy 1.18.0 / scipy / linalg / _batched_linalg / _lu

built-in

`scipy.linalg._batched_linalg:_lu`

Signature

built-in_linalg_lu(a, permute_l, overwrite_a, /)

Summary

LU factorization with partial pivoting.

Extended Summary

Computes P, L, U such that A = P @ L @ U where P is a permutation, L is unit lower triangular, and U is upper triangular.

Parameters

a : (..., M, N) ndarray: Input array of type float32, float64, complex64, or complex128.
permute_l : bool: If True, L is returned already permuted (P @ L) and P is empty.
overwrite_a : bool: If True and the input is 2D, F-contiguous, and writable, the input buffer is reused as the larger factor (destroyed on exit).

Returns

p : (..., M) ndarray of int: Permutation indices. Empty array when permute_l is True.
l : (..., M, K) ndarray: Lower triangular factor with unit diagonal, K = min(M, N).
u : (..., K, N) ndarray: Upper triangular factor.

Aliases

scipy.linalg._batched_linalg._lu