Appendix D: A Detailed Look at _ 231
If
Error 8
is displayed as a result of a
search that is concentrated in a local
“flat” region of the function, the
estimates in the X- and Y-registers will be
relatively close together or extremely
small. Execute _ again using for
initial estimates the numbers from the X-
and Y-registers (or perhaps two numbers
somewhat further apart). If the
magnitude of the function is neither a
minimum nor constant, the algorithm will
eventually expand its search and find a more significant result.
Example: Investigate the behavior of the function
f(x) = 3 + e
−|x|/10
− 2e
x
2
e
−|x|
as evaluated in the following subroutine.
| ¥
000-
Program mode.
´ b .0
001-42,21,.0
| a
002- 43 16
”
003- 16
e
−|x|
.
'
004- 12
®
005- 34
Bring x-value into X-register.
|
x
006- 43 11
x
2
e
−|x|
.
*
007- 20
'
008- 12
2
009- 2
*
010- 20
−2e
x
2
e
−|x|
.
”
011- 16
®
012- 34
Bring x-value into X-register.
| a
013- 43 16
”
014- 16
1
015- 1
0 016- 0
−|x|/10.
÷
017- 10
'
018- 12