https://github.com/calebowens/gaussian-elimination

https://github.com/calebowens/gaussian-elimination

Last synced: over 1 year ago
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• Host: GitHub
• URL: https://github.com/calebowens/gaussian-elimination
• Owner: calebowens
• License: bsl-1.0
• Created: 2022-05-25T16:22:35.000Z (about 4 years ago)
• Default Branch: main
• Last Pushed: 2022-05-26T17:20:01.000Z (about 4 years ago)
• Last Synced: 2025-01-17T14:55:53.493Z (over 1 year ago)
• Language: TypeScript
• Size: 77.1 KB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: readme.md
  • License: LICENSE

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README

          
# Gaussian Elimination

This simple library facilitates the solving of simultaneous equations and finding the

inverse of matrices via Gaussian Elimination.

Docs: [View Docs](https://calebowens.github.io/Gaussian-Elimination/)

## Usage

### Simultaneous Equations

Create a Tableau to represent this set of equations

![equations](https://i.imgur.com/uS3ujTa.png[/img)

```ts

import { Tableau } from './main'

const tableau = Tableau.from([

  [[ 2 ,  1 , -1 ], [ 8 ]],

  [[-3 , -1 ,  2 ], [-11]],

  [[-2 ,  1 ,  2 ], [-3 ]],

])

```

Then to solve the equations

```ts

tableau.solve() // Returns [[2, 3, -1]]

```

After solving, to get just the first elements of all right-hand side of the tableau, you can use

```ts

tableau.getLHSFirsts() // Returns [2, 3, -1]

```

### Matrix Inversion

Finding the inverse the above LHS

```ts

import { Tableau } from './main'

const tableau = Tableau.from([

  [[ 2 ,  1 , -1 ], [ 1 , 0 , 0 ]],

  [[-3 , -1 ,  2 ], [ 0 , 1 , 0 ]],

  [[-2 ,  1 ,  2 ], [ 0 , 0 , 1 ]],

])

tableau.solve() // Returns [ [ 4, 3, -1 ], [-2, -2, 1 ], [ 5, 4, -1 ] ]

```