Determination of the eigenvalues of a matrix using the QR-decomposition -- from Wolfram Library Archive

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Title

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

Downloads

EigenValues.nb (9.4 KB) - Mathematica Notebook

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