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48 lines
932 B
Markdown
48 lines
932 B
Markdown
# Function lup
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Calculate the Matrix LU decomposition with partial pivoting. Matrix `A` is decomposed in two matrices (`L`, `U`) and a
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row permutation vector `p` where `A[p,:] = L * U`
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## Syntax
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```js
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math.lup(A);
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```
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### Parameters
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Parameter | Type | Description
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--------- | ---- | -----------
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`A` | Matrix | Array | A two dimensional matrix or array for which to get the LUP decomposition.
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### Returns
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Type | Description
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---- | -----------
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Array<Matrix> | The lower triangular matrix, the upper triangular matrix and the permutation matrix.
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## Examples
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```js
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var m = [[2, 1], [1, 4]];
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var r = math.lup();
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// r = {
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// L: [[1, 0], [0.5, 1]],
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// U: [[2, 1], [0, 3.5]],
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// P: [0, 1]
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// }
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```
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## See also
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[slu](slu.md),
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[lsolve](lsolve.md),
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[lusolve](lusolve.md),
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[usolve](usolve.md)
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