Numerical Methods: Lecture 12 | LU Factorization with Partial Pivoting

In this lecture, we learned LU Factorization with Partial Pivoting, a powerful technique for solving linear systems. Our goal is to reinforce the importance of partial pivoting in enhancing the numerical stability of LU decomposition methods.

🔍 Lecture Highlights:
- Development and explanation of LU Factorization
- Understanding the role and need for Partial Pivoting
- Crout’s and Doolittle’s Factorization methods
- Hands-on demonstrations using MATLAB’s built-in commands to solve linear systems

📌 Learning Outcomes:
By the end of this lecture, you will be able to:
✅ Implement LU decomposition with and without pivoting
✅ Differentiate between Crout’s and Doolittle’s methods
✅ Apply MATLAB tools for efficient solution of linear equations

📚 Perfect for students of Numerical Methods, Engineering, Mathematics, and anyone interested in computational problem-solving.
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