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Determination of the eigenvalues of a matrix using the QR-decomposition
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2006-11-02
Description

We use the QR-decomposition to obtain the eigenvalues of a matrix. The method is iterative and builds an upper-triangular matrix. The eigenvalues appear as the diagonal terms of this upper-triangular matrix. These values are found to be in agreement with those given by the Mathematica built-in function: Eigenvalues.
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
Keywords

QR-decomposition, upper-triangular matrix, eigenvalues, iterative technique
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EigenValues.nb (9.4 KB) - Mathematica Notebook