Gaussian Elimination with Partial Pivoting

Finds the solution to the linear system Ax=b using Gaussian Elimination with Partial Pivoting (GEPP) algorithm

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This is a simple basic code implementing the Gaussian Elimination with Partial Pivoting (GEPP) algorithm. Although there are plenty of codes to solve this system, the majority don't rely on a direct implementation of the algorithm. The motivation to make this upload is to provide a reference code which allows you to write similar algorithm in other programming languages. A testbench code is included to check the accuracy of the algorithm vs the powerful built-in MATLAB linear system solver. I hope you find this code useful.
See the attachment Algorithm.pdf for more details.

Cite As

Mazin Mustafa (2026). Gaussian Elimination with Partial Pivoting (https://www.mathworks.com/matlabcentral/fileexchange/86088-gaussian-elimination-with-partial-pivoting), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.4

minor correction

1.3

update

1.2

Correction

1.1

Tags added

1.0.0