🧮 Linear Algebra Calculator

A powerful and flexible Java interface for performing advanced linear algebra operations and numerical computations. Built with performance and usability in mind.

👥 Team

Developers:

• Siwar Ben Rhouma
• Selma Bettaieb
• Firas Barkia

Academic Supervisor: Dr. Sirine MARRAKCHI

🏛️ Institution

Faculty of Sciences of Sfax
Department of Computer Science and Communications
Engineering Program

✨ Features

Matrix Operations

• Matrix multiplication (matrix-matrix & matrix-vector)
• Matrix transpose
• Matrix inverse
• Support for multiple matrix types:
  • Dense matrices
  • Sparse matrices
  • Symmetric matrices
  • Positive definite matrices
  • Banded matrices (lower & upper)
  • Triangular matrices

System Resolution Methods

Direct Methods

• LU decomposition
• Gaussian elimination
  • With pivoting
  • Without pivoting
  • Jordan method
• Cholesky decomposition

Iterative Methods

• Gaussian elimination
• Jacobi iteration

🚀 Performance Optimizations

• Specialized algorithms for banded and triangular matrices
• Efficient matrix multiplication implementation
• Optimized system resolution methods
• Performance-focused data structures

🎓 Educational Context

This project was developed as part of the Engineering Program at the Faculty of Sciences of Sfax. While fully functional, we welcome contributions and suggestions for improvement.

📹 Tutorial

Watch our video :
[Linear Algebra Calculator ](https://youtu.be/YOUR_VIDEO_ID

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Note: This is an academic project open to improvements and further testing. Feel free to contribute!