66 lines
1.1 KiB
Markdown
66 lines
1.1 KiB
Markdown
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<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
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# Function qr
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Calculate the Matrix QR decomposition. Matrix `A` is decomposed in
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two matrices (`Q`, `R`) where `Q` is an
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orthogonal matrix and `R` is an upper triangular matrix.
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## Syntax
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```js
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math.qr(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 QR decomposition.
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### Returns
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Type | Description
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---- | -----------
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{Q: Array | Matrix, R: Array | Matrix} | Q: the orthogonal matrix and R: the upper triangular matrix
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### Throws
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Type | Description
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---- | -----------
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## Examples
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```js
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const m = [
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[1, -1, 4],
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[1, 4, -2],
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[1, 4, 2],
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[1, -1, 0]
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]
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const result = math.qr(m)
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// r = {
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// Q: [
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// [0.5, -0.5, 0.5],
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// [0.5, 0.5, -0.5],
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// [0.5, 0.5, 0.5],
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// [0.5, -0.5, -0.5],
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// ],
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// R: [
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// [2, 3, 2],
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// [0, 5, -2],
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// [0, 0, 4],
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// [0, 0, 0]
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// ]
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// }
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```
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## See also
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[lup](lup.md),
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[lusolve](lusolve.md)
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