Eig(A) - get eigenvalues in order of matrix

I have a matrix that looks like the following:

A = [A 0 E; 0 B D; E 0 C]

I'm using the function eig(A)to get eigenvalues. Is there a way to get the eigenvalues in the order of the matrix? (e.g. have the first eigenvalue for the first row, second eigenvalue for the second row, and third eigenvalue for the third row)?

Answer 1

[Walter Roberson]

No. Eigenvalues are a global property, not associated with particular rows. For a 3 x 3 matrix, the eigenvalues are 3 roots of a cubic, with two of the solutions being complex conjugates of each other. There is no inherent way to order those, or to associate them with a particular row.