Chapter 04.06 Pitfalls of Naive Gauss Elimination Method:

Gaussian Elimination (CHAPTER 04.06)

Pitfalls of Naive Gaussian Elimination

Summary

This video discusses the pitfalls of Naive Gauss elimination and possible solutions to the pitfalls.

Learning Objective

After watching the video, you will be able to describe the pitfalls of naive Gauss elimination method and prescribe possible solutions to avoid or alleviate them.

Transcript

Read the transcript

All Videos for this Topic

Naive Gaussian elimination: Theory: Part 1 of 2 [YOUTUBE 10:27]

Naive Gaussian elimination: Theory: Part 2 of 2 [YOUTUBE 2:22]

Naive Gauss Elimination Method: Example: Part 1 of 2 (Forward Elimination) [YOUTUBE 10:49]

Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) [YOUTUBE 6:40]

Pitfalls of Naive Gauss Elimination Method: [YOUTUBE 7:20]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 7:20]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 7:40]

Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 8:07]

Gaussian Elimination With Partial Pivoting: Theory [YOUTUBE 10:39]

Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 (Forward Elimination) [YOUTUBE 7:15]

Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) [YOUTUBE 10:08]

Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) [YOUTUBE 6:18]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 8:58]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 8:17]

Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 5:48]

Determinant of a Matrix Using Forward Elimination Method: Background [YOUTUBE 5:17]

Determinant of a Matrix Using Forward Elimination Method: Example [YOUTUBE 10:07]

Complete Resources

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