Lectures (Video)
- 1. Naive Gaussian Elimination : Theory Part 1
- 2. Naive Gaussian Elimination : Theory Part 2
- 3. Naive Gauss Elimination Method : Example Part 1
- 4. Naive Gauss Elimination Method: Example Part 2
- 5. Pitfalls of Naive Gauss Elimination Method
- 6. Round of Error : Example Part 1
- 7. Round of Error : Example Part 2
- 8. Round of Error : Example Part 3
- 9. Gaussian Elimination with Partial Pivoting: Theory
- 10. Gauss Elimination with Partial Pivoting: Part 1
- 11. Gauss Elimination with Partial Pivotin : Part 2
- 12. Gauss Elimination with Partial Pivoting: Part 3
- 13. Partial Pivoting: Round of Error Part 1
- 14. Partial Pivoting: Round of Error Part 2
- 15. Partial Pivoting: Round of Error Part 3
- 16. Determinant of a Matrix using Forward Elimination
- 17. Determinant of a Matrix using Forward Elimination: Example
- 18. LU Decomposition: Basis
- 19. LU Decomposition Method: Example
- 20. Why LU Decomposition: Part 1
- 21. Why LU Decomposition: Part 2
- 22. Decomposing A Square Matrix: Part 1
- 23. Decomposing A Square Matrix: Part 2
- 24. Finding the Inverse of a Matrix
- 25. Finding the Inverse of a Matrix: Example
- 26. Gauss-Seidel Method Theory: Part 1
- 27. Gauss-Seidel Method Theory: Part 2
- 28. Gauss-Seidel Method Example: Part 1
- 29. Gauss-Seidel Method Example: Part 2
- 30. Gauss-Seidel Method Pitfalls and Advantages: Part 1
- 31. Gauss-Seidel Method Pitfalls and Advantages: Part 2
Numerical Methods III - Lecture 15
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Lecture 15 - Partial Pivoting: Round of Error Part 3
Learn via an example how Gaussian elimination with partial pivoting reduces round of error. In this Part 3 of 3 back substitution steps are taken.
Prof. Autar Kaw
Numerical Methods - Simultaneous Linear Equations (Holistic Numerical Methods Institute, University of South Florida) http://numericalmethods.eng.usf.edu Date accessed: 2010-09-27 License: Creative Commons BY-NC-SA |
Lecture Material
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