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SIMULTANEOUS LINEAR EQUATIONS

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Major

General


 

BACKGROUND

Introduction to Matrix Algebra [Complete textbook]

Introduction [PDF] [DOC]

Vectors [PDF] [DOC]

Binary Matrix Operations [PDF] [DOC]

Unary Matrix Operations [PDF] [DOC]

System of Equations [PDF] [DOC]

Test your knowledge of background of simultaneous linear equations [HTML] [PDF] [DOC]

 

PHYSICAL PROBLEM

Finding the velocity profile of a rocket [PDF] [DOC]

 

NUMERICAL METHOD

 

GAUSSIAN ELIMINATION METHOD

How does Gaussian Elimination method work? [PDF] [DOC]

EBook on Gaussian Elimination [EBOOK]

A Power point presentation on Gaussian Elimination [PDF] [PPT]

Simulation of Gaussian Elimination [PDF] [MWS]

Test your knowledge of Gaussian Elimination [HTML] [PDF] [DOC]

 

LU DECOMPOSITION

How does LU Decomposition work? [PDF] [DOC]

EBook on LU Decomposition [EBOOK]

A Power point presentation on LU Decomposition method [PDF] [PPT]

Simulation of LU Decomposition method [PDF] [MWS]

Test your knowledge of LU Decomposition [HTML] [PDF] [DOC]

 

GAUSS SEIDEL METHOD

How does Gauss-Seidel method work? [PDF] [DOC]

EBook on Gauss-Seidel method [EBOOK]

A Power point presentation on Gauss-Seidel method [PDF] [PPT]

Simulation of Gauss-Seidel method [PDF] [MWS]

Convergence Simulation of Gauss-Seidel method [PDF] [MWS]

Test your knowledge of Gauss-Seidel Method [HTML] [PDF] [DOC]

 

ANECDOTES

Effect of significant digits on solution of equations

     Textbook notes [PDF] [DOC] | Simulation [PDF] [MWS]

Saving of computational time for finding inverse of a matrix using LU decomposition

      Textbook notes [PDF] [DOC] | Simulation [PDF] [MWS

Adequacy of Solutions

      Textbook notes [PDF] [DOC] | Simulation [PDF] [MWS]

Eigenvalues and Eigenvectors [DOC] [PDF]

Gauss [HTML] [PDF] [DOC]

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 and 0341468.  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.