9.9 A Five-Dimensional Inverse Problem
243
Fig. 9.30 Showing the Chebyshev distribution of points in various two-dimensional subsets of the
four-dimensional grid at level 8 (continued)
The five-dimensional, level 4 inversion is quite good, but the important thing to
note is the ‘leverage-value’ of each test in Table 9.7, namely 1024/311 = 3.3 for the
first, and 4.94 for the second. This is significant because the time to compute the 311
points completely dominates the overall inversion process, whereas the computation
of function values for NLSE using the full Cartesian grid interpolation table derived
from these 311 points is much faster.
243
Fig. 9.30 Showing the Chebyshev distribution of points in various two-dimensional subsets of the
four-dimensional grid at level 8 (continued)
The five-dimensional, level 4 inversion is quite good, but the important thing to
note is the ‘leverage-value’ of each test in Table 9.7, namely 1024/311 = 3.3 for the
first, and 4.94 for the second. This is significant because the time to compute the 311
points completely dominates the overall inversion process, whereas the computation
of function values for NLSE using the full Cartesian grid interpolation table derived
from these 311 points is much faster.