Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

MOOC | MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE


LU DECOMPOSITION METHOD

CHAPTER 04.07

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Gauss-Seidel Method [PDF] [DOC]

Objectives of Gauss-Seidel Method [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter on LU Decomposition [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

LU Decomposition: Basis [YOUTUBE 9:02] [TRANSCRIPT]

LU Decomposition Method: Example  [YOUTUBE 10:29] [TRANSCRIPT]

Why LU Decomposition:  Part 1 [YOUTUBE 4:58] [TRANSCRIPT]

Why LU Decomposition:  Part 2 [YOUTUBE 8:05] [TRANSCRIPT]

Decomposing a Square Matrix:  Part 1 of 2 [YOUTUBE 6:56] [TRANSCRIPT]

Decomposing a Square Matrix:  Part 2 of 2 [YOUTUBE 4:37] [TRANSCRIPT]

Finding Inverse of a Matrix Using LU Decomposition: Background [YOUTUBE 6:03] [TRANSCRIPT]

Finding Inverse of a Matrix Using LU Decomposition: Example [YOUTUBE 10:20] [TRANSCRIPT]

MULTIPLE CHOICE TEST
  Test Your Knowledge of LU Decomposition [HTML] [FLASH] [PDF] [DOC]
PRESENTATIONS
  PowerPoint Presentation on LU Decomposition Method [PDF] [PPT]
WORKSHEETS
  Worksheet of LU Decomposition Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example on LU Decomposition  [PDF]  [DOC] [PHY

Civil Engineering Example on LU Decomposition  [PDF]  [DOC] [PHY

Computer Engineering Example on LU Decomposition  [PDF [DOC] [PHY]

Electrical Engineering Example on LU Decomposition  [PDF [DOC] [PHY]

Industrial Engineering Example on LU Decomposition  [PDF [DOC] [PHY

Mechanical Engineering Example on LU Decomposition  [PDF [DOC] [PHY]

WOLFRAM DEMONSTRATION (External link | What are Wolfram Demonstrations? | Do need free Mathematica Player to run)

 

LU Decomposition [NBP]

RELATED TOPICS

 

Intro to Matrix Algebra

Gaussian Elimination

Gauss-Seidel Method

Cholesky and LDLT Decomposition

  > Home > Simultaneous Linear Equations
 

 

 


AUDIENCE |  AWARDS  |  PEOPLE  |  TRACKS  |  DISSEMINATION  |  PUBLICATIONS


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.  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.

 

ANALYTICS