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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“But a problem occurs about nothing. For that from which something is made is a cause of the thing made from it; and, necessarily, every cause contributes some assistance to the effects existence.”
—Anselm of Canterbury (10331109)