16
09
Approximate solutions to Equations
of higher degree
(
Newton’s method
)
Newton’s method is used to calculate approximate solutions to the equation . For a
initial value , the following recurrence relation gives successive approximate solutions:
It should be noted that the series calculated above may not always converge, depending on
the initial value .
Program
？→ Ｘ：Ｌｂｌ １：Ｘ －（ ）÷（ ）→ Ｘ：
Ｘ Ｇｏｔｏ １ ＜ 40 STEP ＞
Execution Example:
Find solutions to the equation . (Solutions are and )
To stop program, press the key.
To calculate for other functions, enter the apropriate function in the part indicated by a single
underline, and the derivative in the part with double underline.
x() 0=
x
1
x
i 1+
x
i
fx
i
()
f
′
x
i
()
------------–=
x
1
ON
MODE MODE MODE
1
PRGM
MODE
1
COMP
1
P1
Ｘ
３
－２ Ｘ
２
－２Ｘ＋４
３Ｘ
２
－４Ｘ－２
x
3
2x
2
–2x–4+0=2± 2
Prog
1
S A
D R
P1
P2 P3 P4
G
1
EXE
Disp
S A
D R
P1
P2 P3 P4
G
EXE
Disp
S A
D R
P1
P2 P3 P4
G
EXE EXE
Disp
S A
D R
P1
P2 P3 P4
G
AC
関数電卓事例集 .book 16 ページ ２００２年９月２日 月曜日 午後６時５１分
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