Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
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Dari sistem persamaan linear:<br />
)<br />
f(x<br />
c<br />
bx<br />
ax<br />
)<br />
f(x<br />
c<br />
bx<br />
ax<br />
)<br />
f(x<br />
c<br />
bx<br />
ax<br />
1<br />
i<br />
1<br />
i<br />
2<br />
1<br />
i<br />
i<br />
i<br />
2<br />
i<br />
1<br />
-<br />
i<br />
1<br />
-<br />
i<br />
2<br />
1<br />
-<br />
i<br />
+<br />
+<br />
+<br />
=<br />
+<br />
+<br />
=<br />
+<br />
+<br />
=<br />
+<br />
+<br />
diperoleh:<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
)f(x<br />
x<br />
(x<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
)f(x<br />
x<br />
(x<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
)f(x<br />
x<br />
(x<br />
b<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
f(x<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
f(x<br />
)<br />
x<br />
)(x<br />
x<br />
(x<br />
)<br />
f(x<br />
a<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
1<br />
-<br />
i<br />
1<br />
i<br />
i<br />
1<br />
i<br />
i<br />
i<br />
1<br />
i<br />
1<br />
-<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
1<br />
i<br />
i<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
1<br />
i<br />
1<br />
i<br />
−<br />
−<br />
+<br />
−<br />
−<br />
−<br />
+<br />
−<br />
−<br />
−<br />
+<br />
−<br />
=<br />
−<br />
−<br />
+<br />
−<br />
−<br />
+<br />
−<br />
−<br />
=<br />
+<br />
−<br />
+<br />
+<br />
+<br />
−<br />
+<br />
+<br />
−<br />
−<br />
−<br />
+<br />
+<br />
−<br />
+<br />
+<br />
+<br />
−<br />
+<br />
−<br />
−<br />
−<br />
sehingga:<br />
)<br />
x<br />
(x<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
)<br />
f(x<br />
x<br />
x<br />
1<br />
x<br />
x<br />
1<br />
)<br />
x<br />
(x<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
)<br />
(x<br />
f'<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
-<br />
i<br />
i<br />
i<br />
1<br />
i<br />
i<br />
1<br />
i<br />
i<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
1<br />
i<br />
i<br />
i<br />
−<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
+<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
+<br />
−<br />
+<br />
−<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
≅<br />
+<br />
+<br />
−<br />
+<br />
−<br />
+<br />
−<br />
−<br />
+<br />
−<br />
+<br />
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