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Eigenvector (Spectral) Decomposition (w/ordered eigenvalues and eigenvectors)

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Eigenvector (Spectral) Decomposition

I am trying to find a program in C code that will allow me to compute a eigenvalue (spectral) decomposition for a square matrix. I am specifically trying to find code where the highest eigenvalue (and therefore its associated eigenvalue) are located int the first column.

The reason I need the output to be in this order is because I am trying to compute Eigenvector centrality and therefore I only really need to calculate the eigenvector associated with the highest eigenvalue. Thanks in advance!

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