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.

4. Interpolation is performed as described in Section 2.4.3, are indicated in another spreadsheet. The result is

[s1]