2. Rayleigh-Ritz procedure (cont'd)

In practice it will be difficult or impossible to find, among all admissible functions, the one which minimizes the functional. Thus, we must limit the set of functions over which we shall attempt to minimize the functional.

The convention here is that bold lowercase variables represent vectors, and bold uppercase variables represent matrices.

The Rayleigh-Ritz procedure consists of restricting the search to a particularly simple subset of admissible functions, namely, the space of linear combinations of \(n\) independent admissible basis functions \(w_i(\mathbf{x}), i=1,2,...n\).

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