Course: Numerical Methods

GAUSSIAN ELIMINATION

Gauss Elimination with Partial Pivoting : Round of Error : Example : Part 3 of 3

By Autar Kaw

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.

This video teaches you how error could be reduced by using Gaussian elimination with partial pivoting method with an example.

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]

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.