# LUDecomposition DΒΆ

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D: Field

LUDecomposition contains procedures to solve linear systems of equations or to compute inverses using a LU decomposition.

- LUDecomp: Matrix D -> Record(LU: Matrix D, Perm: Vector Integer, Pivots: List D)
`LUDecomp(A)`

computes a LU decomposition of`A`

using the algorithm of Crout.`LU`

contains both triangular matrices;`Perm`

is the permutation used for partial pivoting and`Pivots`

yields the used pivots.