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How to apply function eig to an array of matrices?

Asked by Kaixiang Su on 7 Jul 2019
Latest activity Answered by Bruno Luong
on 7 Jul 2019
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?

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R2019a

2 Answers

Answer by the cyclist
on 7 Jul 2019
Edited by the cyclist
on 7 Jul 2019

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.

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Answer by Bruno Luong
on 7 Jul 2019

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

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