How to apply function eig to an array of matrices?

I am trying to find the eigenvectors and eigenvalues of an array of matrices without doing a for loop. A simple example would be like:

A[:,:,1] = [1,2;3,4]

A[:,:,2] = [3,4;5,6]

...

A[:,:,10] = [19,20;21,22]

And the matrix elements can be arbitrary. My question is whether there is an efficient way to solve the eigen problem of each of these matrices without doing a for loop? Can tips of vectorization help us here?

Answer 1

[the cyclist]

cellfun(@eig,A,'UniformOutput',false)

or something like this, will be at the heart of your solution. You might need to read the documentation for cellfun and/or eig to get exactly the output you want.

Answer 2

[Bruno Luong]

If your matrices is 2x2 or 3x3 you can use this FEX for eigen values, then this one for engen vectors.