Discuss the asymptotic behavior of solutions to an iterative system that has two eigenvalues of largest modulus, e g , 1 2, or 1, 2 are complex conjugate eigenvalues How can you detect this How can you determine the eigenvalues and eigenvectors ...

Writing u 0 c 1 v 1 c n v n then for k 0 u k c 1 k 1 v 1 c 2 k 2 v 2 which applies even when v 1 v 2 ...

Discuss the asymptotic behavior of solutions to an iterative system that has two eigenvalues of largest modulus,

Question:

Discuss the asymptotic behavior of solutions to an iterative system that has two eigenvalues of largest modulus, e.g., λ1 = - λ2, or λ1, = λ2 are complex conjugate eigenvalues. How can you detect this? How can you determine the eigenvalues and eigenvectors?