Power Method to find dominant eigenvalue

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

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>>