simple-squiggle

A restricted subset of Squiggle
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usolveAll.md (946B)

      1 <!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
      2 
      3 # Function usolveAll
      4 
      5 Finds all solutions of a linear equation system by backward substitution. Matrix must be an upper triangular matrix.
      6 
      7 `U * x = b`
      8 
      9 
     10 ## Syntax
     11 
     12 ```js
     13 math.usolveAll(U, b)
     14 ```
     15 
     16 ### Parameters
     17 
     18 Parameter | Type | Description
     19 --------- | ---- | -----------
     20 `U` | Matrix, Array | A N x N matrix or array (U)
     21 `b` | Matrix, Array | A column vector with the b values
     22 
     23 ### Returns
     24 
     25 Type | Description
     26 ---- | -----------
     27 DenseMatrix[] &#124; Array[] | An array of affine-independent column vectors (x) that solve the linear system
     28 
     29 
     30 ### Throws
     31 
     32 Type | Description
     33 ---- | -----------
     34 
     35 
     36 ## Examples
     37 
     38 ```js
     39 const a = [[-2, 3], [2, 1]]
     40 const b = [11, 9]
     41 const x = usolveAll(a, b)  // [ [[8], [9]] ]
     42 ```
     43 
     44 
     45 ## See also
     46 
     47 [usolve](usolve.md),
     48 [lup](lup.md),
     49 [slu](slu.md),
     50 [usolve](usolve.md),
     51 [lusolve](lusolve.md)