Quadratic eigenvalue problem
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In mathematics, the quadratic eigenvalue problem[1] (QEP), is to find scalar eigenvalues , left eigenvectors
and right eigenvectors
such that
where , with matrix coefficients
and we require that
, (so that we have a nonzero leading coefficient). There are
eigenvalues that may be infinite or finite, and possibly zero. This is a special case of a nonlinear eigenproblem.
is also known as a quadratic polynomial matrix.