Quadratic Eigenvalue Problem
In mathematics, the quadratic eigenvalue problem (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 matrix polynomial.
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“One thing in any case is certain: man is neither the oldest nor the most constant problem that has been posed for human knowledge.”
—Michel Foucault (1926–1984)