Module partial_pivoting

The partial pivoting LU decomposition is such that: $$PA = LU,$$ where $P$ is a permutation matrix, $L$ is a unit lower triangular matrix, and $U$ is an upper triangular matrix.

Modules

• compute
  Computing the decomposition.
• inverse
  Reconstructing the inverse of the original matrix from the decomposition.
• reconstruct
  Reconstructing the original matrix from the decomposition.
• solve
  Solving a linear system using the decomposition.