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Gauss-Seidlova metóda<br />

Pripomeňme si Gauss-Seidlovu metódu<br />

1<br />

( 1) 1<br />

⎛ i−<br />

n ⎞<br />

k+ ( k+<br />

1) ( k)<br />

xi = bi aijxj aijx j , i 1, 2,..., n .<br />

a<br />

−∑<br />

− ∑<br />

=<br />

ii ⎜⎝<br />

j= 1 j= i+<br />

1 ⎠⎟<br />

Gauss-Seidlova metóda konverguje,<br />

keď A je rýdzo diagonálne dominantná<br />

alebo<br />

pozitívne definitná.

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