User Manual

Section 4: Using Matrix Operations 107
Now run the program. For example, choose the values n = 11 and a = 0.05. The suggested
initial guesses are x
1
(0)
= 3.25 and x
2
(0)
= 20.5. Remember that the display format affects the
uncertainty of the integral calculation.
Keystrokes
Display
|¥
Run mode.
5´m%
5.0000
Reserves R
0
through R
5
.
11O2
11.0000
Stores n in R
2
.
.05O3
0.0500
Stores a in R
3
.
2v1
1
´mA
1.0000
Dimensions A to 2 × 1.
´U
1.0000
Activates User mode.
´>1
1.0000
3.25OA
3.2500
Stores
)0(
1
x
from chi-square
distribution.
20.5OA
20.5000
Stores
)0(
2
x
from chi-square
distribution.
´i4
2.0500 01
Sets display format.
A
1.1677 00
Displays norm of f(x
(0)
).
)
1.0980 00
Displays norm of correction d
(0)
.
lA
3.5519 00
Recalls
)1(
1
x
.
lA
2.1556 01
Recalls
)1(
2
x
.
By repeating the last four steps, you will obtain these results:
k
||f(x)
(k)
)||
F
||d
(k)
)||
F
)1(
1
k
x
)1(
2
k
x
3.2500
20.500
0
1.168
1.098
3.5519
21.556
1
1.105×10
−1
1.740×10
−1
3.5169
21.726
2
1.918×10
−3
2.853×10
−3
3.5162
21.729
3
6.021×10
−7
9.542×10
−7
3.5162
21.729
This accuracy is sufficient for constructing the statistical test. (Press ´•4 to reset the
display format and ´U to deactivate User mode.)