On generalised and quadratic eigenvalue problems

Paul Binding · Applicable Analysis · 1981

The generalised eigenvalue problem Tx = λVx and the quadratic eigenvalue problem Ay = ∊By + ∊2Cy are considered for self-adjoint linear operators on Hilbert spaces. Conditions are given for the reduction of these problems to the classical case Su = vu where S is compact and self-adjoint

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