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56 lines
1.4 KiB
Markdown
56 lines
1.4 KiB
Markdown
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layout: default
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---
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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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<h1 id="function-usolveall">Function usolveAll <a href="#function-usolveall" title="Permalink">#</a></h1>
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Finds all solutions of a linear equation system by backward substitution. Matrix must be an upper triangular matrix.
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`U * x = b`
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<h2 id="syntax">Syntax <a href="#syntax" title="Permalink">#</a></h2>
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```js
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math.usolveAll(U, b)
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```
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<h3 id="parameters">Parameters <a href="#parameters" title="Permalink">#</a></h3>
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Parameter | Type | Description
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--------- | ---- | -----------
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`U` | Matrix, Array | A N x N matrix or array (U)
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`b` | Matrix, Array | A column vector with the b values
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<h3 id="returns">Returns <a href="#returns" title="Permalink">#</a></h3>
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Type | Description
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---- | -----------
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DenseMatrix[] | Array[] | An array of affine-independent column vectors (x) that solve the linear system
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<h3 id="throws">Throws <a href="#throws" title="Permalink">#</a></h3>
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Type | Description
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---- | -----------
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<h2 id="examples">Examples <a href="#examples" title="Permalink">#</a></h2>
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```js
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const a = [[-2, 3], [2, 1]]
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const b = [11, 9]
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const x = usolveAll(a, b) // [ [[8], [9]] ]
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```
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<h2 id="see-also">See also <a href="#see-also" title="Permalink">#</a></h2>
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[usolve](usolve.html),
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[lup](lup.html),
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[slu](slu.html),
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[usolve](usolve.html),
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[lusolve](lusolve.html)
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