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HP 15c User Manual

Page 231

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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

x

e

x

x

e

e

x

f

2

2

3

)

(

10

/

as evaluated in the following subroutine.

Keystrokes

Display

000–

Program mode.

´ b .0

001–42,21,.0

| a

002– 43 16

003– 16

x

e

.

'

004– 12

®

005– 34 Bring x-value into X-register.

| x

006– 43 11

x

e

x

2

.

*

007– 20

'

008– 12

2

009– 2

*

010– 20

x

e

x

e

2

2

.

011– 16

®

012– 34 Bring x-value into X-register.

| a

013– 43 16

014– 16

1

015– 1

0

016– 0