Module faer_lu::full_pivoting
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The full pivoting LU decomposition is such that: $$PAQ^\top = LU,$$ where $P$ and $Q$ are permutation matrices, $L$ is a unit lower triangular matrix, and $U$ is an upper triangular matrix.
The full pivoting LU decomposition is more numerically stable than the one with partial pivoting, but is more expensive to compute.