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# scipy.linalg.lu_factor

`scipy.linalg.``lu_factor`(a, overwrite_a=False)

  Compute pivoted LU decomposition of a matrix.

  The decomposition is:

      A = P L U

  where P is a permutation matrix, L lower triangular with unit diagonal elements, and U upper triangular.

  Parameters : | a : array, shape (M, M) Matrix to decompose overwrite_a : boolean Whether to overwrite data in A (may increase performance)
  Returns : | lu : array, shape (N, N) Matrix containing U in its upper triangle, and L in its lower triangle. The unit diagonal elements of L are not stored. piv : array, shape (N,) Pivot indices representing the permutation matrix P: row i of matrix was interchanged with row piv[i].

  See also

  `lu_solve`
    solve an equation system using the LU factorization of a matrix

  Notes

  This is a wrapper to the *GETRF routines from LAPACK.

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