= Bauer–Fike theorem
{wiki=Bauer–Fike_theorem}
The Bauer–Fike theorem is a result in numerical analysis and linear algebra that provides conditions under which the eigenvalues of a perturbed matrix are close to the eigenvalues of the original matrix. Specifically, it addresses how perturbations, particularly in the form of a matrix \\( A \\) being modified by another matrix \\( E \\) (where \\( E \\) typically represents a small perturbation), affect the spectral properties of \\( A \\).
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