Variational Methods for Eigenvalue Approximation Sally Nash and Dmitrii Shostakovich—immediately come to

and Dmitrii Shostakovich—immediately come to mind

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Variational Methods for Eigenvalue Approximation Sally Nash and Dmitrii Shostakovich—immediately come toProvides a common setting for various methods of bounding the eigenvalues of a self adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve