# Function lup

Calculate the Matrix LU decomposition with partial pivoting. Matrix `A` is decomposed in two matrices (`L`, `U`) and a
row permutation vector `p` where `A[p,:] = L * U`


## Syntax

```js
math.lup(A);
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`A` | Matrix | Array | A two dimensional matrix or array for which to get the LUP decomposition.

### Returns

Type | Description
---- | -----------
Array<Matrix> | The lower triangular matrix, the upper triangular matrix and the permutation matrix.


## See also

[slu](slu.md),
[lsolve](lsolve.md),
[lusolve](lusolve.md),
[usolve](usolve.md)


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