## Power Method to find dominant eigenvalue

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Matlab codes for Power Method to find dominant eigenvalue and the corresponding eigenvector.

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Determination of eigenvalues by power method:
Let be a real symmetric matrix and be a real n component vector. Let .
Now
Then is an approximate largest eigenvalues of A and if where ϵ is the given error of tolerance and the corresponding eigenvector is .Otherwise continue the process.
For details of the method and also coding watch the lecture: https://youtu.be/rOxgnicTRaA
Example:
A =
1 3 -1
3 2 4
-1 4 10
Enter the tolerance of error 0.001
The greatest eigenvalue is 11.66225
The corresponding eigenvector is:
0.02490
0.42174
1.00000>>

### Citar como

Dr. Manotosh Mandal (2022). Power Method to find dominant eigenvalue (https://www.mathworks.com/matlabcentral/fileexchange/72587-power-method-to-find-dominant-eigenvalue), MATLAB Central File Exchange. Recuperado .

##### Compatibilidad con la versión de MATLAB
Se creó con R2019a
Compatible con cualquier versión