## Power Method to find dominant eigenvalue

Version 1.0.02 (1.32 KB) by
Matlab codes for Power Method to find dominant eigenvalue and the corresponding eigenvector.

Updated 22 Jan 2022

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>>

### Cite As

Dr. Manotosh Mandal (2023). Power Method to find dominant eigenvalue (https://www.mathworks.com/matlabcentral/fileexchange/72587-power-method-to-find-dominant-eigenvalue), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2019a
Compatible with any release
##### Platform Compatibility
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Version Published Release Notes
1.0.02

For details of the method and also coding watch the lecture: https://youtu.be/rOxgnicTRaA

1.0.01

New and easy version

1.0.0