Sheet1Nama File : F1A112015_midnumerikNama : Agus RahmatCode : 015Bagian I1. Metode Bagi Duaf(x)=x^2-7=0interval23nanbnxnf(an)f(bn)f(xn)eh1232.5-32-0.7522.532.75-0.7520.56259.09%32.52.752.625-0.750.5625-0.109375-4.76%42.6252.752.6875-0.1093750.56250.222656252.33%52.6252.68752.65625-0.1093750.222656250.0556640625-1.18%62.6252.656252.640625-0.1093750.0556640625-0.0270996094-0.59%72.6406252.656252.6484375-0.02709960940.05566406250.01422119140.29%82.6406252.64843752.64453125-0.02709960940.0142211914-0.0064544678-0.15%92.644531252.64843752.646484375-0.00645446780.01422119140.00387954710.07%102.644531252.6464843752.6455078125-0.00645446780.0038795471-0.001288414-0.04%112.64550781252.6464843752.6459960938-0.0012884140.00387954710.00129532810.02%122.64550781252.64599609382.6457519531-0.0012884140.00129532810.0000033975-0.01%132.64550781252.64575195312.6456298828-0.0012884140.0000033975-0.0006425232-0.00%2. Metode Posisi Palsunanbnxnf(an)f(bn)f(xn)eh1232.6-32-0.2422.632.6428571429-0.242-0.0153061224-37.84%32.642857142932.6455696203-0.01530612242-0.0009613844-37.80%42.645569620332.6457399103-0.00096138442-0.000060327-37.80%52.645739910332.6457505957-0.0000603272-0.0000037853-37.80%62.645750595732.6457512662-0.00000378532-0.0000002375-37.80%72.645751266232.6457513082-0.00000023752-0.0000000149-37.80%82.645751308232.6457513109-0.00000001492-0.0000000009-37.80%92.645751310932.6457513111-0.00000000092-0.0000000001-37.80%102.645751311132.6457513111-0.00000000012-0-37.80%3. Metode Iterasi Titik Tetapx^2-7=0 dengan tebakan awal Xo=1.5kasus 1x=7/xtebakan awal1.5nxeh01.514.666666666767.86%21.7142857143-172.22%34.666666666763.27%41.7142857143-172.22%54.666666666763.27%61.7142857143-172.22%kasus 2x=x-(x^2-7)nxeh01.516.2576.00%2-25.8125124.21%3-685.0976562596.23%4-470036.89625549399.85%5-220935153871.393100.00%6-48812342216397260000000100.00%7-2382644752650678000000000000000000000000000000100.00%kasus 3x=x-(x^2-7)/2nxeh01.514.37565.71%2-1.1953125466.01%32.0903015137157.18%43.905621304646.48%50.278682417-1301.46%64.239850472293.43%7-0.7483155412666.59%82.9716963842125.18%4. Metode Newton-Raphsonf(x)=x^2-7f'(x)=2xtebakan awal1.5x=x-(x^2-7)/(2x)nxneh01.513.083333333351.35%22.6768018018-15.19%32.6459314015-1.17%42.6457513172-0.01%52.6457513111-0.00%62.64575131110.00%72.64575131110.00%5. Metode Garis Potongf(x)=x^2-7tebakan awal1tebakan kedua2nxneh-11021322.6-15.38%32.64285714291.62%42.64577656680.11%52.6457512972-0.00%62.64575131110.00%72.64575131110.00%82.64575131110.00%

Sheet2BAGIAN II1. Metode Jacobyx1=(35-3x2-7x3)/88x1+3x2+7x3=35x2=(25-2x1-3x3)/72x1+7x2+3x3=25x3=(29-2x1-3x2)/72x1+3x3+7x3=29kx1x2x3000014.3753.57142857144.14285714292-0.58928571430.54591836731.36224489832.97831632653.15597667644.07725947524-0.37609329450.97308413161.939348188352.31316378592.84773457493.83327631346-0.04701723981.26769192682.261495529171.92080693952.61564969893.612994099980.23276152551.47420054592.47306243291.65824516732.4450413793.4445536159100.4441250691.6214069742.6211979326111.47342419372.3211651523.3210755629120.59862195051.7271321322.7270937367131.34111843092.23163926993.2316228147140.71046531091.80327067062.8032636184151.24591783252.1670397893.1670367666160.79120290831.85815057642.8581492811171.17731291282.12044947713.120448922180.84943863931.89771820122.8977179633191.12785245672.08685269023.0868525883200.89143422641.92624818882.9262481451211.09218980222.06262673023.0626267115220.92171660361.94682003732.9468200293231.06647496042.04515810073.0451580973240.94355237711.96165368392.9616536824251.04793289642.03256202843.0325620277260.95929746511.9723497322.9723497317271.03456283522.02347941073.0234794105280.97065073681.98006229972.9800622997291.02492212542.01693023253.0169302325300.97883720941.98562357882.9856235788311.01797052652.0122078353.012207835320.98474020631.98963363462.9896336346331.01295795682.00880266913.0088026691340.98899666361.99252515422.9925251542351.00934355732.00634731573.0063473157360.99206585531.9946101342.994610134371.00673733252.0045768413.004576841380.99427894871.99611354462.9961135446391.00485806932.00330020983.0033002098400.99587473771.99719760462.9971976046411.00350299432.0023796733.002379673420.99702540881.99797928462.9979792846431.00252589422.00171590413.0017159041440.99785511991.99854292852.9985429285451.00182133942.00123728213.0012372821460.99845339741.99894935352.9989493535471.00131330812.00089216353.0008921635480.99888479561.99924241332.9992424133491.00094698332.00064330983.0006433098500.99919586271.99945372912.9994537291511.00068283862.00046386963.0004638696520.9994201631.9996061022.999606102531.00049237252.00033448113.0003344811540.99958189861.99971597312.9997159731551.00035503362.00024118343.0002411834560.99969852081.99979519752.9997951975571.00025600312.00017390943.0001739094580.99978261321.99985232362.9998523236591.00018459542.00012540043.0001254004600.99984324951.99989351542.9998935154611.00013310572.00009042213.0000904221620.99988697241.99992321752.9999232175631.00009597822.00006520043.0000652004640.99991849951.99994463462.9999446346651.00006920672.00004701393.0000470139660.99994123271.99996007792.9999600779671.00004990272.00003390023.0000339002680.99995762481.99997121352.9999712135691.00003598322.00002444433.0000244443700.99996944461.9999792432.999979243711.00002594632.0000176263.000017626720.99997796751.99998503282.9999850328731.0000187092.00001270953.0000127095740.99998411311.99998920762.9999892076751.00001349052.00000916443.0000091644760.99998854451.9999922182.999992218771.00000972752.00000660823.0000066082780.99999173981.99999438862.9999943886791.00000701422.00000476493.0000047649800.99999404381.99999595382.9999959538811.00000505772.00000343583.0000034358820.99999570521.99999708242.9999970824831.00000364692.00000247753.0000024775840.99999690321.99999789622.9999978962851.00000262972.00000178643.0000017864860.9999977671.99999848312.9999984831871.00000189622.00000128813.0000012881880.99999838981.99999890622.9999989062891.00000136732.00000092883.0000009288900.9999988391.99999921132.9999992113911.00000098592.00000066973.0000006697920.99999916281.99999943132.9999994313931.00000071092.00000048293.0000004829940.99999939631.99999958992.9999995899951.00000051262.00000034823.0000003482960.99999956471.99999970432.9999997043971.00000036962.00000025113.0000002511

Sheet32. Metode Gauss-seidel8x1+3x2+7x3=35x1=(35-3x2-7x3)/82x1+7x2+3x3=25x2=(25-2x1-3x3)/72x1+3x3+7x3=29x3=(29-2x1-3x2)/7kx1x2x3000014.3750002.3214291.89795921.8437502.2312322.65982931.2109382.0855202.90308141.0527342.0264702.97358951.0131842.0075522.99299761.0032962.0020602.99817671.0008242.0005462.99953081.0002062.0001422.99988091.0000512.0000372.999970101.0000132.0000092.999992111.0000032.0000022.999998121.0000012.0000013.000000131.0000002.0000003.000000141.0000002.0000003.000000151.0000002.0000003.000000161.0000002.0000003.000000171.0000002.0000003.000000

Sheet43. Metode SOR8x1+3x2+7x3=35x1=(35-3x2-7x3)/82x1+7x2+3x3=25x2=(25-2x1-3x3)/72x1+3x3+7x3=29x3=(29-2x1-3x2)/7w0.9kx1x2x3w00000.913.9375002.2017861.8668110.922.1180332.1697712.5337040.931.4217142.0883942.8108350.941.1613062.0403242.9240510.951.0623312.0172992.9697050.961.0242522.0071792.9879650.971.0094802.0029222.9952320.981.0037172.0011762.9981140.991.0014602.0004702.9992550.9101.0005742.0001872.9997060.9111.0002262.0000742.9998840.9121.0000892.0000292.9999540.9131.0000352.0000122.9999820.9141.0000142.0000052.9999930.9151.0000052.0000022.9999970.9161.0000022.0000012.9999990.9171.0000012.0000003.0000000.9181.0000002.0000003.0000000.9191.0000002.0000003.0000000.9201.0000002.0000003.0000000.9

Presentasi1. Metode Newton-Raphson1. Metode Newton-Raphsonf(x) = x2-7 = 0f'(x) = 2xinterval23Iterasixf(x)f'(x)ABSKetIterasixixuxtf(xi)f'(xi)f(xu)f'(xu)f(xt)f'(xt)eh02.00000-12.000001.00000--e = 0,0010232.75-34260.56255.5-114.00000144.0000025.0000012.00000Lanjut12.00000122.752.375-340.56255.5-1.3593754.7515.789%28.2400033.1776013.480005.76000Lanjutf(x) = x2 - 3x - 1022.3752.752.5625-1.3593754.750.56255.5-0.433593755.1257.317%35.778756.057738.557512.46125Lanjut32.56252.752.65625-0.433593755.1250.56255.50.05566406255.31253.529%45.070870.501107.141740.70789Lanjutf'(x) = 2x - 342.56252.656252.609375-0.433593755.1250.05566406255.3125-0.19116210945.218751.796%55.000700.004927.001410.07017Lanjut52.6093752.656252.6328125-0.19116210945.218750.05566406255.3125-0.06829833985.2656250.890%65.000000.000007.000000.00070Stop62.63281252.656252.64453125-0.06829833985.2656250.05566406255.3125-0.00645446785.28906250.443%772.644531252.656252.650390625-0.00645446785.28906250.05566406255.31250.02457046515.300781250.221%882.644531252.6503906252.6474609375-0.00645446785.28906250.02457046515.300781250.00904941565.2949218750.111%992.644531252.64746093752.6459960938-0.00645446785.28906250.00904941565.2949218750.00129532815.29199218750.055%10102.644531252.64599609382.6452636719-0.00645446785.28906250.00129532815.2919921875-0.00258010635.29052734380.028%11112.64526367192.64599609382.6456298828-0.00258010635.29052734380.00129532815.2919921875-0.00064252325.29125976560.014%12122.64562988282.64599609382.6458129883-0.00064252325.29125976560.00129532815.29199218750.0003263695.29162597660.007%132.64562988282.64581298832.6457214355-0.00064252325.29125976560.0003263695.2916259766-0.00015808555.29144287110.003%142.64572143552.64581298832.6457672119-0.00015808555.29144287110.0003263695.29162597660.00008413965.29153442380.002%152.64572143552.64576721192.6457443237-0.00015808555.29144287110.00008413965.2915344238-0.00003697345.29148864750.001%162.64574432372.64576721192.6457557678-0.0000369735.29148864750.00008413965.29153442380.0000235835.29151153560.000%

a:Harga Mutlak|(Xi - X0)|a:f'(x) = 2x - 3a:f(x) = x2 - 3x - 10