In this section, examples of
the reduction in envelope size (
) and bandwidth
() for the test collection
of hypertext matrices listed in Table 3 are
provided. Execution times (in elapsed CPU seconds) for
the symbolic (RCM) and spectral (Fiedler and Correspondence
Analysis) on a Sun SPARCstation 20 (50 MHz) are also provided.
The notation CACS(i) and CANC(i) is used to represent the cases
when Correspondence Analysis (see Section 3.5) is used with
and without 
distances (see Equation (6)), respectively,
for the i-th largest pair of principal axes. With CANC(1), for
example, 
and 
(i.e., no weighting) so that 
in
Equation (7). In this case, row and column permutations are solely
determined by the left and right singular vectors of A (
,
) corresponding to the largest singular value 
.