Source: wikibot/quadratic-eigenvalue-problem
= Quadratic eigenvalue problem
{wiki=Quadratic_eigenvalue_problem}
The Quadratic Eigenvalue Problem (QEP) is a generalization of the standard eigenvalue problem that involves a quadratic eigenvalue operator. It seeks to find the eigenvalues and eigenvectors of the form: \\\[ A \\lambda^2 + B \\lambda + C = 0 \\\] where \\(A\\), \\(B\\), and \\(C\\) are given matrices, \\(\\lambda\\) is the eigenvalue, and \\(x\\) is the corresponding eigenvector.