Metode Iterasi Gauss-Seidel Soal : Diketahui: 6O+3P-6Q+R=20 0+P-12Q+6R=8 2O-2P+4Q-3R=16 6O+P-Q+4R=14 Diminta nilai awal : O=2 P=2 Q= 2 R=2 iterasi 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
O 2 4.6666666667 10.5902777778 3.9963831019 -50.9465030623 -372.505166199 -2444.580145862 -16056.3934787016 -105426.826314724 -691898.220640532 -4540318.51293109 -29793829.6553509 -195508830.32893 -1282940231.72427 -8418727548.79788
O=(20-3+6Q+R)/6 P=(8-O+12Q-6R)/1 Q=(16+2O+3R)/4 R=(14-6O-P+Q)/4
P 2 15.3333333333 204.1597222222 1526.7588252315 10157.2055091387 66672.4197192408 437499.514006876 2870990.52142092 18839796.3132772 123627976.977848 811253907.686629 5323494702.47938 34933077979.7602 229232863657.205 1504239213389.12000
Q 2 15.5 108.78125 742.205078125 4908.1547444662 32229.7000740899 211495.150309015 1387848.02344185 9107165.59277373 59761782.9231134 392160275.324807 2573378245.29622 16886655803.9811 110811204995.527 727149489688.41100
Matriks: 6 1 2 6
R 2 -3.4583333333 -36.2300347222 -198.6330114294 -1232.3429365747 -8048.4221619893 -52830.7207056722 -346697.534276713 -2275013.94065379 -14928697.6827229 -97962926.8210589 -642838366.312764 -4218342294.95139 -27681004314.3332 -181644339598.48000
3 1 -2 1
-6 -12 4 -1
DETERMINAN
-1323
eror O 0.57142857 0.55934426 1.64996561 1.07844274 0.86323276 0.84761998 0.84775036 0.84770106 0.84762668 0.8476102 0.84760876 0.84760878 0.84760878 0.84760877
eror Q 0.87096774 0.85751221 0.85343505 0.84878124 0.8477133 0.84761022 0.84760929 0.84760922 0.84760887 0.84760878 0.84760877 0.84760877 0.84760877 0.84760877
eror P 0.86956522 0.9248954 0.866279 0.84968712 0.84765506 0.84760573 0.84761374 0.84761032 0.84760896 0.84760877 0.84760877 0.84760877 0.84760877 0.84760877
-1 6 -3 4
eror R 1.57831325 0.90454513 0.81760315 0.83881677 0.84688391 0.8476564 0.84761726 0.84760641 0.84760801 0.8476087 0.84760877 0.84760877 0.84760877 0.84760877
X 20 8 16 14
Kesimpulan : O= P= Q= R=
Kesimpulan : -8418727548.79788 1504239213389.12000 727149489688.41100 -181644339598.48000