what if the some rows of matrix M is zeros
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In fluid mechnics problems, we get quadratic eigenvalue problem . But most of the element of the co-effiencient matrix of lamda^2 are zeros. When i used polyeig function i am getting some of the eigenvalue as infinity? how to interpret the results
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Accepted Answer
Sai Kiran
on 26 Apr 2023
Hi,
[X,E] = POLYEIG(A0,A1,..,Ap) solves the polynomial eigenvalue problem of degree p:
(A0 + lambda*A1 + ... + lambda^p*Ap)*x = 0.
The input is p+1 square matrices, A0, A1, ..., Ap, all of the same order, n. The output is an n-by-n*p matrix, X, whose columns are the eigenvectors, and a vector of length n*p, E, whose elements are the eigenvalues.
If A0 or Ap is a singular matrix then you will get some of the eigen values to be infinity. Here M is your Ap and it is a singular matrix.
I hope it helps!
Thanks.
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