ABSTRACT

The matrices of this quadratic eigenvalue problem may be complex and the problem may also have a left-handed solution

ψH(Mλ2 +Bλ+K) = 0

that is different from the right-hand solution. Here and in the following, H

denotes complex conjugate transpose. The solution of this problem usually results in complex eigenvalues. In order to solve the quadratic eigenvalue problem, a transformation is executed to convert the original quadratic problem to a linear problem of twice the size.