Sistemas Lineares EDUARDO

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GAUSS-JORDAN
	Autor: Eduardo Falchetti Sovrani
Matéria: Cálculo Numérico
Grupo PET Engenharia Elétrica
UDESC CCT	Digite seus Dados, Pontos "xi,yj" 
Analisados, nos Campos 
esverdeados
	Método de GAUSS - JORDAN 
	SISTEMA 4 vs 4
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	TOTAL	RESULTADOS
	5	2	5	6	2	X1 =	0.3353057199
	20	0	5	5	5	X2 =	0.9388560158
	6	5	5	5	5	X3 =	-0.4930966469
	4	5	5	16	6	X4 =	0.1518737673
	-40	-75	-95	-15
	13	-5	-11	13
	17	5	56	22
	1175	1675	-325
	1075	-625	-625
	-2535000	-385000
	SISTEMA 3 vs 3
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	TOTAL	RESULTADOS
	3.47	-5.62	8.34	-15.94	X1 =	4.3199220431
	-5.16	3.19	-4.25	10.56	X2 =	52.4057224741
	1.19	-6.34	7.17	-100.5	X3 =	31.6055192824
	-17.9299	28.2869	-45.6072
	-15.312	14.9553	-329.7664
	164.98197933	5214.34112896
	SISTEMA 2 vs 2
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	TOTAL	RESULTADOS
	10	-2	-7	X1 =	-0.5873015873
	3	12	5	X2 =	0.5634920635
	126	71
JACOBI
	Autor: Eduardo Falchetti Sovrani
Matéria: Cálculo Numérico
Grupo PET Engenharia Elétrica
UDESC CCT	Digite seus Dados, Pontos "xi,yj" 
Analisados, nos Campos 
esverdeados
	Método de JACOBI
	SISTEMA 6 vs 6
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	X5	X6	TOTAL	X1	X2	X3	X4	X5	X6
	15	2	2	12	9	2	26	0	0	0	0	0	0	0	-
	1	18	3	15	8	3	22	1	1.7333333333	1.2222222222	0.2	0.3571428571	0.3086419753	0.2717391304	1.7333333333
	2	3	25	3	9	15	5	2	1.0365723487	0.6125094787	-0.4023450656	0.0947354497	0.0652455078	0.0944636148	0.6967609846
	3	3	7	70	6	23	25	3	1.5777805985	1.1080042331	-0.047961731	0.2900719113	0.19488788	0.1830105871	0.5412082498
	4	6	1	1	81	18	25	4	1.2186026644	0.7837161735	-0.2739575743	0.1699972405	0.1049944625	0.1157512825	0.3591779341
	5	5	1	2	2	92	25	5	1.4509375459	0.9925612168	-0.1191825988	0.2516928605	0.1659719698	0.1599171737	0.2323348815
	6	1.2946230909	0.8513161147	-0.2210857063	0.1975693584	0.1262946065	0.1311560774	0.156314455
	7	1.3979828846	0.9445149204	-0.1535958089	0.233363213	0.1527940482	0.1504745842	0.1033597937
	8	1.3294471746	0.8826989005	-0.1984746146	0.2095713932	0.135218136	0.1377042637	0.0685357099
	9	1.3749548639	0.9237526607	-0.1687292964	0.2253482456	0.1468672145	0.1461757085	0.0455076893
	10	1.3447745318	0.89653025	-0.1884661202	0.2148819703	0.1391343565	0.1405517473	0.0301803321
	11	1.3647983596	0.9145924545	-0.1753708457	0.2218264596	0.1442638651	0.1442816256	0.0200238278
	12	1.3515134154	0.9026089715	-0.1840581053	0.21721947	0.1408608267	0.1418069144	0.0132849442
	13	1.3603268906	0.9105589719	-0.1782945325	0.2202759369	0.1431186011	0.1434487563	0.0088134752
	14	1.3544796637	0.9052845875	-0.1821182905	0.2182481591	0.1416207357	0.1423595233	0.0058472269
	15	1.3583589219	0.9087837981	-0.1795814815	0.2195934547	0.1426144757	0.1430821657	0.0038792582
	16	1.3557852865	0.9064623	-0.1812644948	0.2187009364	0.1419551922	0.1426027394	0.0025736354
	17	1.3574927297	0.9080024665	-0.1801479241	0.2192930649	0.142392584	0.1429208077	0.0017074431
	18	1.356359951	0.9069806652	-0.180888697	0.2189002257	0.1421024025	0.1427097896	0.0011327787
	19	1.3571114769	0.9076585647	-0.1803972417	0.2191608493	0.1422949193	0.1428497865	0.0007515259
	20	1.3566128877	0.9072088219	-0.1807232907	0.2189879423	0.1421671968	0.1427569076	0.0004985892
	SISTEMA 5 vs 5
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	X5	TOTAL	i	X1	X2	X3	X4	X5
	15	2	2	12	9	26	0	0	0	0	0	0	-
	1	18	3	15	8	22	1	1.7333333333	1.2222222222	0.92	0.3571428571	0.3086419753	1.7333333333
	2	3	25	3	9	23	2	0.9768042328	0.5377993337	0.4806984127	0.112021164	0.1167430923	0.7565291005
	3	3	7	70	6	25	3	1.4378708472	0.9426021295	0.7218496884	0.2341548837	0.2132502159	0.4610666144
	4	6	1	1	81	25	4	1.1961323878	0.7321252836	0.5869894129	0.1646590279	0.156011102	0.2417384594
	5	1.3321174902	0.8513847299	0.6605312949	0.2024319212	0.1860625964	0.1359851025
	6	1.2581614353	0.7867393909	0.619990068	0.1815628385	0.1691389931	0.073956055
	7	1.2990357388	0.8225174354	0.6422607801	0.1930076155	0.1783378396	0.0408743035
	8	1.2766207751	0.8029091651	0.6300125125	0.1867069711	0.1732528893	0.0224149637
	9	1.2889597991	0.8137063337	0.6367453615	0.1901686465	0.1760412645	0.0123390241
	10	1.2821800981	0.8077746835	0.6330433632	0.1882648069	0.1745062814	0.0067797011
	11	1.2859086461	0.811037081	0.635078592	0.1893113489	0.1753496708	0.003728548
	12	1.2838590286	0.8092437765	0.6339596152	0.1887359236	0.1748858394	0.0020496174
	13	1.284985972	0.8102298087	0.6345748115	0.1890522749	0.175140811	0.0011269433
	14	1.2843664108	0.8096877213	0.6342365803	0.1888783445	0.1750006194	0.0006195611
	15	1.2847070459	0.8099857626	0.6344225363	0.1889739689	0.1750776926	0.0003406351
	16	1.2845197694	0.8098219039	0.6343202992	0.1889213952	0.1750353177	0.0001872765
	17	1.2846227328	0.8099119924	0.6343765082	0.1889502997	0.1750586149	0.0001029634
	18	1.2845661246	0.8098624627	0.634345605	0.1889344083	0.1750458063	0.0000566082
	19	1.2845972473	0.8098896937	0.6343625953	0.1889431452	0.1750528483	0.0000311227
	20	1.2845801363	0.8098747223	0.6343532542	0.1889383417	0.1750489766	0.000017111
	SISTEMA 4 vs 4
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	TOTAL	i	X1	X2	X3	X4	E
	20	6	2	2	26	0	0	0	0	0	-
	5	15	1	9	22	1	1.3	1.4666666667	1.4375	0.8333333333	1.4666666667
	8	2	16	13	23	2	0.6329166667	0.4375	-0.0729166667	0.2395833333	1.5104166667
	7	3	3	30	25	3	1.1520833333	1.1168055556	0.8716927083	0.6491944444	0.944609375
	4	0.8128696181	0.635009375	0.1943871528	0.3656640625	0.6773055556
	5	1.053492066	0.9633525463	0.6545869683	0.560724103	0.4601998155
	6	0.889463129	0.7354290516	0.334746565	0.4257245665	0.3198404033
	7	1.0033241714	0.8924277795	0.5549385938	0.5187743749	0.2201920288
	8	0.9249003693	0.783964745	0.4027802623	0.4544877227	0.1521583315
	9	0.979083778	0.8588218925	0.5077829475	0.4988487464	0.1050026853
	10	0.9416902629	0.807143963	0.435290768	0.4682199678	0.0724921796
	11	0.9675057375	0.8428185472	0.4853331494	0.4893621322	0.0500423814
	12	0.9496849077	0.8181919315	0.4507880804	0.4747668249	0.034545069
	13	0.96198693	0.8351923971	0.4746355095	0.484842187	0.0238474291
	14	0.9534945112	0.8234566772	0.4581732084	0.4778869257	0.0164623011
	15	0.9593569834	0.831558127	0.4695375326	0.4826882922	0.0113643242
	16	0.9553099794	0.825965528	0.461692505	0.4793738046	0.0078450276
	17	0.9581037106	0.8298262238	0.4671081031	0.4816618682	0.005415598
	18	0.9561751357	0.827161102	0.4633695988	0.4800823682	0.0037385042
	19	0.9575064727	0.8290008939	0.4659503702	0.4811727316	0.0025807714
	20	0.9565874216	0.8277308455	0.4641688075	0.48042003	0.0017815627
	SISTEMA 3 vs 3
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	TOTAL	i	X1	X2	X3	E
	31.8	1.3	-5.7	41.2	0	0	0	0	-
	7.1	-46.5	8.1	100.5	1	1.2955974843	-2.1612903226	-1.265625	2.1612903226
	3.7	-4.2	25.6	-32.4	2	1.1570948088	-2.1839316207	-1.8074660174	0.5418410174
	3	1.0608979499	-2.2994645505	-1.7911626406	0.1155329298
	4	1.0685432976	-2.31131273	-1.7962138096	0.0118481795
	5	1.0681222589	-2.3110252569	-1.7992626432	0.0030488336
	6	1.0675640178	-2.3116206317	-1.7991546264	0.0005953748
	7	1.0676077186	-2.3116870526	-1.7991716218	0.000066421
	8	1.0676073875	-2.3116833405	-1.7991888351	0.0000172133
	9	1.0676041504	-2.3116863895	-1.7991881783	0.0000032372
	10	1.0676043928	-2.3116867694	-1.7991882106	0.0000003799
	11	1.0676044025	-2.311686738	-1.799188308	0.0000000974
	12	1.0676043838	-2.3116867535	-1.7991883043	0.0000000187
	13	1.0676043851	-2.3116867557	-1.7991883041	0.0000000022
	14	1.0676043852	-2.3116867555	-1.7991883046	0.0000000006
	15	1.0676043851	-2.3116867555	-1.7991883046	0.0000000001
	16	1.0676043851	-2.3116867556	-1.7991883046	0
	17	1.0676043851	-2.3116867556	-1.7991883046	0
	18	1.0676043851	-2.3116867556	-1.7991883046	0
	19	1.0676043851	-2.3116867556	-1.7991883046	0
	20	1.0676043851	-2.3116867556
-1.7991883046	0
	SISTEMA 2 vs 2
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	TOTAL	i	X1	X2	E
	10	-2	-7	0	0	0	-
	3	12	5	1	-0.7	0.4166666667	0.7
	2	-0.6166666667	0.5916666667	0.175
	3	-0.5816666667	0.5708333333	0.035
	4	-0.5858333333	0.5620833333	0.00875
	5	-0.5875833333	0.563125	0.00175
	6	-0.587375	0.5635625	0.0004375
	7	-0.5872875	0.5635104167	0.0000875
	8	-0.5872979167	0.5634885417	0.000021875
	9	-0.5873022917	0.5634911458	0.000004375
	10	-0.5873017708	0.5634922396	0.0000010938
	11	-0.5873015521	0.5634921094	0.0000002188
	12	-0.5873015781	0.5634920547	0.0000000547
	13	-0.5873015891	0.5634920612	0.0000000109
	14	-0.5873015878	0.5634920639	0.0000000027
	15	-0.5873015872	0.5634920636	0.0000000005
	16	-0.5873015873	0.5634920635	0.0000000001
	17	-0.5873015873	0.5634920635	0
	18	-0.5873015873	0.5634920635	0
	19	-0.5873015873	0.5634920635	0
	20	-0.5873015873	0.5634920635	0
GAUSS-SEIDEL
	Autor: Eduardo Falchetti Sovrani
Matéria: Cálculo Numérico
Grupo PET Engenharia Elétrica
UDESC CCT	Digite seus Dados, Pontos "xi,yj" 
Analisados, nos Campos 
esverdeados
	Método de GAUSS-SEIDEL
	SISTEMA 6 vs 6
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	X5	X6	TOTAL	i	X1	X2	X3	X4	X5	X6	E
	15	2	2	12	9	2	26	0	0	0	0	0	0	0	-
	1	18	3	15	8	3	22	1	1.7333333333	1.1259259259	0.6462222222	0.1699809524	0.1295667646	0.102808544	1.7333333333
	2	3	25	3	9	15	23	2	1.269614287	0.8276136117	0.5903903477	0.1633369539	0.1524886431	0.1444762931	0.4637190463
	3	3	7	70	6	23	25	3	1.3028398841	0.8234775967	0.5557733758	0.1498963904	0.1424880474	0.1437811994	0.0346169718
	4	6	1	1	81	18	25	4	1.3248524363	0.8437852002	0.5572055975	0.1490250291	0.140044282	0.1415376913	0.0220125522
	5	5	1	2	2	92	25	5	1.3244162757	0.8457568981	0.5593343104	0.1496929674	0.1403837998	0.1414091988	0.0021287129
	6	1.3231486252	0.844786441	0.5594268938	0.1497927453	0.1405444646	0.1415241669	0.0012676504
	7	1.3230741247	0.8446014331	0.5593162612	0.1497633839	0.1405380278	0.1415402514	0.0001850079
	8	1.3231387501	0.8446409295	0.5593025415	0.1497555603	0.1405286024	0.1415351167	0.0000646254
	9	1.3231479119	0.8446542716	0.5593076203	0.149756583	0.1405282274	0.1415338244	0.0000133421
	10	1.323145035	0.8446531148	0.559308777	0.149757097	0.1405287217	0.1415340091	0.0000028769
	11	1.3231443026	0.844652284	0.5593085848	0.1497570801	0.140528781	0.1415340952	0.0000008309
	12	1.3231444055	0.8446522836	0.5593085056	0.1497570502	0.1405287581	0.1415340917	0.0000001029
	13	1.3231444541	0.8446523297	0.5593085102	0.1497570489	0.140528753	0.1415340866	0.0000000487
	14	1.3231444522	0.8446523333	0.5593085149	0.1497570504	0.1405287539	0.1415340864	0.0000000047
	15	1.3231444494	0.8446523311	0.559308515	0.1497570506	0.1405287543	0.1415340867	0.0000000029
	16	1.3231444493	0.8446523307	0.5593085148	0.1497570505	0.1405287542	0.1415340867	0.0000000004
	17	1.3231444494	0.8446523308	0.5593085147	0.1497570505	0.1405287542	0.1415340867	0.0000000001
	18	1.3231444494	0.8446523308	0.5593085148	0.1497570505	0.1405287542	0.1415340867	0
	19	1.3231444494	0.8446523308	0.5593085148	0.1497570505	0.1405287542	0.1415340867	0
	20	1.3231444494	0.8446523308	0.5593085148	0.1497570505	0.1405287542	0.1415340867	0
	SISTEMA 5 vs 5
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	X5	TOTAL	i	X1	X2	X3	X4	X5	E
	15	2	2	12	9	26	0	0	0	0	0	0	-
	1	18	3	15	8	22	1	1.7333333333	1.1259259259	0.6462222222	0.1699809524	0.1295667646	1.7333333333
	2	3	25	3	9	23	2	1.2833220929	0.8439868243	0.6490140641	0.1899653459	0.1723927318	0.4500112404
	3	3	7	70	6	25	3	1.2788586324	0.8080820629	0.6358642369	0.1893395981	0.1754428303	0.0359047614
	4	6	1	1	81	25	4	1.2840697834	0.8091500496	0.6342962407	0.1889658548	0.1751303515	0.0052111509
	5	1.2846229332	0.8098309839	0.6343276181	0.1889366116	0.1750525696	0.0006809344
	6	1.284598022	0.8098860774	0.6343545105	0.1889392959	0.1750493536	0.0000550935
	7	1.2845868728	0.8098814072	0.6343567985	0.1889400207	0.1750502129	0.0000111493
	8	1.2845860949	0.8098800831	0.6343566233	0.1889400546	0.1750503512	0.0000013241
	9	1.2845861847	0.8098800176	0.6343565701	0.1889400471	0.1750503523	0.0000000898
	10	1.2845862059	0.8098800311	0.6343565673	0.1889400458	0.1750503503	0.0000000212
	11	1.2845862067	0.8098800335	0.6343565678	0.1889400458	0.1750503501	0.0000000024
	12	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0.0000000002
	13	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	14	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	15	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	16	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	17	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	18	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	19	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	20	1.2845862065	0.8098800335	0.6343565679	0.1889400458	0.1750503501	0
	SISTEMA 4 vs 4
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	X4	TOTAL	i	X1	X2	X3	X4	E
	20	6	2	2	26	0	0	0	0	0	-
	5	30	1	9	22	1	1.3	0.5166666667	0.1927777778	0.7248245614	1.3
	8	2	60	13	23	2	1.0532397661	0.333920078	0.0747253736	0.8632308044	0.2467602339
	7	3	3	19	25	3	1.1060283588	0.2875351864	0.0392450383	0.8567084639	0.0527885927
	4	1.1241440938	0.2876552772	0.0382387777	0.8501741673	0.018115735
	5	1.1248621223	0.2895294368	0.0394963329	0.8494151492	0.0018741596
	6	1.1242500207	0.2898172407	0.0397328069	0.8495578796	0.0006121016
	7	1.1241257591	0.2897872494	0.0397194499	0.8496105046	0.0001242616
	8	1.1241308297	0.289771062	0.0397079113	0.8496130143	0.0000161874
	9	1.1241365888	0.2897697339	0.0397066439	0.8496113024	0.0000057591
	10	1.1241372852	0.2897701736	0.0397069073	0.8496109348	0.0000006964
	11	1.1241371637	0.2897702954	0.0397069991	0.8496109458	0.0000001217
	12	1.1241371169	0.2897702968	0.0397070029	0.8496109622	0.0000000468
	13	1.1241371144	0.2897702922	0.0397069999	0.8496109644	0.0000000046
	14	1.1241371159	0.2897702914	0.0397069992	0.849610964	0.0000000015
	15	1.1241371163	0.2897702914	0.0397069992	0.8496109639	0.0000000003
	16	1.1241371163	0.2897702915	0.0397069993	0.8496109639	0
	17	1.1241371162	0.2897702915	0.0397069993	0.8496109639	0
	18	1.1241371162	0.2897702915	0.0397069993	0.8496109639	0
	19	1.1241371162	0.2897702915	0.0397069993	0.8496109639	0
	20	1.1241371162	0.2897702915	0.0397069993	0.8496109639	0
	SISTEMA 3 vs 3
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	X3	TOTAL	i	X1	X2	X3	E
	92.5	3.21	4.44	-15.93	0	0	0	0	-
	5.15	31.75	-2.13	49.4	1	-0.1722162162	1.5838397957	0.9150440332	1.5838397957
	8.2	-3.7	42.7	31.8	2	-0.2711018514	1.6612667189	0.9407429049	0.0988856352
	3	-0.2750223207	1.6636266878	0.9417002758	0.0039204693
	4	-0.2751501718	1.6637116527	0.9417321903	0.0001278511
	5	-0.2751546522	1.6637145204	0.9417332992	0.0000044804
	6	-0.275154805	1.6637146196	0.9417333371	0.0000001527
	7	-0.2751548102	1.663714623	0.9417333384	0.0000000053
	8	-0.2751548104	1.6637146231	0.9417333384	0.0000000002
	9	-0.2751548104	1.6637146231	0.9417333384	0
	10	-0.2751548104	1.6637146231	0.9417333384	0
	11	-0.2751548104	1.6637146231	0.9417333384	0
	12	-0.2751548104	1.6637146231	0.9417333384	0
	13	-0.2751548104	1.6637146231	0.9417333384	0
	14	-0.2751548104	1.6637146231	0.9417333384	0
	15	-0.2751548104	1.6637146231	0.9417333384	0
	16	-0.2751548104	1.6637146231	0.9417333384	0
	17	-0.2751548104	1.6637146231	0.9417333384	0
	18	-0.2751548104	1.6637146231	0.9417333384	0
	19	-0.2751548104	1.6637146231	0.9417333384	0
	20	-0.2751548104	1.6637146231	0.9417333384	0
	SISTEMA 2 vs 2
	i	VARIÁVEIS	E
	Preencher Valores para a Matriz dos Coeficientes
	X1	X2	TOTAL	i	X1	X2	E
	10	-2	-7	0	0	0	-
	3	12	5	1	-0.7	0.5916666667	0.7
	2	-0.5816666667	0.5620833333	0.1183333333
	3	-0.5875833333	0.5635625	0.0059166667
	4	-0.5872875	0.5634885417	0.0002958333
	5	-0.5873022917
0.5634922396	0.0000147917
	6	-0.5873015521	0.5634920547	0.0000007396
	7	-0.5873015891	0.5634920639	0.000000037
	8	-0.5873015872	0.5634920635	0.0000000018
	9	-0.5873015873	0.5634920635	0.0000000001
	10	-0.5873015873	0.5634920635	0
	11	-0.5873015873	0.5634920635	0
	12	-0.5873015873	0.5634920635	0
	13	-0.5873015873	0.5634920635	0
	14	-0.5873015873	0.5634920635	0
	15	-0.5873015873	0.5634920635	0
	16	-0.5873015873	0.5634920635	0
	17	-0.5873015873	0.5634920635	0
	18	-0.5873015873	0.5634920635	0
	19	-0.5873015873	0.5634920635	0
	20	-0.5873015873	0.5634920635	0