Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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GAUSSIAN ELIMINATION

CHAPTER 04.06

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Gaussian Elimination [PDF] [DOC]

Objectives of Gaussian Elimination [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter on Gaussian Elimination [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

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

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

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

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

 

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

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

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

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

 

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

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

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

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

 

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

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

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

 

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

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

MULTIPLE CHOICE TEST
  Test Your Knowledge of Gaussian Elimination [HTML] [FLASH] [PDF] [DOC]
PRESENTATIONS
 

PowerPoint Presentation of Gaussian Elimination [PDF] [PPT]

WORKSHEETS
  Worksheets of Gaussian Elimination [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example on Gaussian Elimination  [PDF]  [DOC] [PHY]  

Civil Engineering Example on Gaussian Elimination  [PDF]  [DOC] [PHY

Computer Engineering Example on Gaussian Elimination  [PDF [DOC] [PHY]

Electrical Engineering Example on Gaussian Elimination  [PDF [DOC] [PHY]

Industrial Engineering Example on Gaussian Elimination  [PDF [DOC] [PHY]

Mechanical Engineering Example on Gaussian Elimination  [PDF [DOC] [PHY]

RELATED TOPICS

 

Intro to Matrix Algebra

Gauss-Seidel Met

LU Decomposition

Cholesky and LDLT Decomposition

 

> Home > Simultaneous Linear Equations


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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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  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.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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