Ejercicio #3.6 GGR Corregido

7/23/2019 Ejercicio #3.6 GGR Corregido

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Ejemplo 3.6

Resolver el sistema lineal por medio del mtodo de Jaco

6x -x -x +4x =17 6 -1

x -1x +!x -x =-17 1 -1

3x -!x +"x -x =1# 3 -!x +x +x -$x =-14 1 1

%nteraci&n '1 '! '3 '4 '1()+10 0 0 0 0 2.83333333

1 2.83333333 1.7 2.375 2.8 1.64583333

2 1.64583333 2.17833333 2.0875 4.18166667 0.75652778

3 0.75652778 1.86391667 2.82510417 3.98233333 0.95994792

4 0.95994792 1.94244028 3.05507292 3.88910972 1.073512385 1.07351238 2.0180984 2.98676832 3.99149222 1.00648297

6 1.00648297 2.00555568 2.97589398 4.01567582 0.98645773

7 0.98645773 1.99425951 3.00091728 3.99758653 1.00080511

8 1.00080511 1.99907058 3.00334155 3.99632691 1.00285075

9 1.00285075 2.00111613 2.99900659 4.00064345 0.99959149

10 0.99959149 2.00002205 2.99929043 4.00059469 0.99948895

11 0.99948895 1.99975777 3.00023304 3.99978079 1.00014461

12 1.00014461 2.00001742 3.00010368 3.99989595 1.00008955

13 1.00008955 2.0000456 2.99993712 4.00005314 0.99996169

14 0.99996169 1.99999107 2.99998446 4.00001446 0.9999862815 0.99998628 1.99999162 3.00001394 3.99998744 1.0000093

16 1.0000093 2.00000267 3.00000148 3.99999837 1.00000178

17 1.00000178 2.00000139 2.99999698 4.00000269 0.99999793

18 0.99999793 1.9999993 3.00000002 4.00000003 0.99999987

19 0.99999987 1.99999979 3.0000006 3.99999945 1.00000043

20 1.00000043 2.00000016 2.99999993 4.00000005 0.99999998

21 0.99999998 2.00000002 2.99999989 4.0000001 0.99999991


2/3

i.

-1 4 17

! -1 -17

" -1 1#1 -$ -14

'!()+! '3()+3 '4()+4 ep'1 ep'! ep'31.7 2.375 2.8 100 100 100

2.17833333 2.0875 4.18166667 72.151898734 21.958684 13.7724551

1.86391667 2.82510417 3.98233333 117.55094547 16.8686011 26.1089193

1.94244028 3.05507292 3.88910972 21.190747473 4.04252383 7.52743899

2.0180984 2.98676832 3.99149222 10.578775733 3.74898097 2.286906562.00555568 2.97589398 4.01567582 6.6597661862 0.62539891 0.36541394

1.99425951 3.00091728 3.99758653 2.0300151545 0.56643418 0.833855

1.99907058 3.00334155 3.99632691 1.4335842229 0.24066509 0.08071882

2.00111613 2.99900659 4.00064345 0.2039820823 0.10222061 0.14454638

2.00002205 2.99929043 4.00059469 0.3260593908 0.05470348 0.00946366

1.99975777 3.00023304 3.99978079 0.0102590058 0.01321572 0.03141785

2.00001742 3.00010368 3.99989595 0.0655559726 0.01298279 0.00431173

2.0000456 2.99993712 4.00005314 0.0055049976 0.00140889 0.00555216

1.99999107 2.99998446 4.00001446 0.0127862841 0.00272686 0.00157798

1.99999162 3.00001394 3.99998744 0.002459241 2.7539E-005 0.00098255

2.00000267 3.00000148 3.99999837 0.0023011773 0.00055278 0.00041536

2.00000139 2.99999698 4.00000269 0.0007516758 6.4167E-005 0.00015

1.9999993 3.00000002 4.00000003 0.0003844833 0.00010419 0.00010127

1.99999979 3.0000006 3.99999945 0.000193241 2.4457E-005 1.9612E-005

2.00000016 2.99999993 4.00000005 5.64986E-005 1.8436E-005 2.2488E-005

2.00000002 2.99999989 4.0000001 4.52305E-005 6.9313E-006 1.4814E-006

1.99999996 3.00000003 3.99999998 6.50549E-006 2.9650E-006 4.7145E-006


3/3

ep'4100

33.0410522

5.0054407

2.39704245

2.565018150.60222985

0.45250537

0.03151949

0.1078962

0.00121865

0.02034862

0.00287902

0.00392973

0.00096719

0.00067528

0.0002731

0.00010803

6.6501E-005

1.4453E-005

1.5050E-005

1.2954E-006

3.1769E-006

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Ejercicio #3.6 GGR Corregido