Exercise Solution 9.5
a. As described in Section 9.3.8, we select the five points
( 1, 0, 0 )
( 0, 1, 0 )
(–1, 0, 0)
(0, –1, 0)
( 0, 0, 1 )
b, c. Applying [9.31], we convert these to
(1170.43, 0.2721, 0.0263)
(1077.00, 0.4059, 0.0263)
( 983.57, 0.2721, 0.0263)
(1077.00, 0.1383, 0.0263)
(1077.00, 0.2721, 0.0246)
The sixth point 1r[k] = 1|0μ is
(1077.00, 0.2721, 0.0263)
Applying Black’s (1976) formula to these points 1r[k], we obtain corresponding points 1p[k]:
47,963
24,279
3,176
12,921
18,398
18,396
computations are indicated in a spreadsheet.
- Interpolation is performed as described in Section 2.4.3, are indicated in another spreadsheet. The result is
[s1]