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Experiment 1

We choose the eigenvalues as $ \lambda_i=i$ for $ i=1,2,\ldots,200$. (These are equidistant eigenvalues.) In Figure 6.1 on the $ y$-axis the eigenvalues are located. In each step of the algorithm ($ x$-axis), a cross is placed if a Ritz value approximates a real eigenvalue up to $ 8$ correct digits. This behavior is the same as the one described in [125, Section 4.2, Fig. 4.1], for equally spaced eigenvalues.

Figure 6.1: Equally spaced eigenvalues $ 1:200$
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Raf Vandebril 2004-05-03