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Eigenvalues Sought.

We give three typical cases:
stands for one or a few isolated eigenvalues at the end of the spectrum.
stands for one or several eigenvalues at the end of the spectrum, possibly clustered, a typical example being computing the lowest eigenmodes of a vibrating mechanical system, modeled by finite element methods.
means some eigenvalues in the middle of the spectrum, most often in a specified interval, such as seeking all eigenmodes of a mechanical or electrical system excited by an external load of a prescribed frequency.

Susan Blackford 2000-11-20