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Metode Numerik 2 - Universitas Indonesia

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Menghitung akar fungsi dengan metode false position,<br />

menggunakan a dan b sebagai batas awal:<br />

• jika batas a tetap, batas b berubah:<br />

af(xi)<br />

− xif(a)<br />

f(x ) − f(a)<br />

( i = 0, 1, 2, ...; x = b)<br />

xi + 1 =<br />

0<br />

i<br />

• jika batas b tetap, batas a berubah:<br />

bf(xi)<br />

− xif(b)<br />

f(x ) − f(b)<br />

( i = 0, 1, 2, ...; x = a)<br />

xi + 1 =<br />

0<br />

i<br />

• kesalahan relatif semu:<br />

∆<br />

rel<br />

=<br />

xi<br />

− x<br />

x<br />

Penghitungan dihentikan jika kesalahan relatif semu sudah<br />

mencapai / melampaui batas yang diinginkan.<br />

i+<br />

1<br />

i+<br />

1<br />

11

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