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Informe - Newton Raphson Multivariable

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Page 1: Informe - Newton Raphson Multivariable

x^2 + y^2 - 4 = 0 dF1/x = 2x dF2/x = 3x^2x^3 - y = 0 dF1/y = 2y dF2/y = -1

tolerancia 0.0001

IT Xi Yi F1 F2 F'1X F'1Y0 0.9 0.8 -2.55 -0.071 1.8 1.61 1.368284107 1.86693038 1.35763044 0.694773037 2.736568214 3.7338607592 1.201598381 1.625495672 0.086074849 0.109418537 2.403196763 3.2509913443 1.174798517 1.618830166 0.000762662 0.002569833 2.349597033 3.2376603324 1.174222006 1.619012985 3.65787E-07 1.17119E-06 2.348444013 3.238025975 1.174221742 1.619013064 7.54952E-14 2.45581E-13 2.348443485 3.238026127

Page 2: Informe - Newton Raphson Multivariable

F'2X F'2Y dx dy error D2.43 -1 0.468284107 1.06693038

5.616604192 -1 -0.16668573 -0.24143471 0.634969832 1.454305982 continua4.33151601 -1 -0.02679986 -0.00666551 0.139885861 0.273284892 continua

4.140454665 -1 -0.00057651 0.000182819 0.026223354 0.027102839 continua4.136391961 -1 -2.6414E-07 7.86065E-08 0.000576246 0.000604528 continua

4.1363901 -1 -5.531E-14 1.67992E-14 2.64139E-07 2.75588E-07 fin

Page 3: Informe - Newton Raphson Multivariable

x^2 - y^2 - 4 = 0 dF1/x = 2x dF2/x = -x*e^(-x-1) + ye^(-x) + x*y - 1 = 0 dF1/y = 2y dF2/y = x

tolerancia 0.0001

IT Xi Yi F1 F2 F'1X F'1Y0 1.6 0.3 -1.35 -0.31810348 3.2 0.61 1.992939332 0.454323562 0.17821708 0.041733518 3.985878664 0.9086471232 1.951313541 0.440785054 0.001915998 0.002197156 3.902627081 0.8815701083 1.951067283 0.439701821 1.23404E-06 1.01436E-05 3.902134566 0.8794036434 1.951068173 0.439696468 2.94476E-11 -3.5711E-08 3.902136346 0.879392936

Page 4: Informe - Newton Raphson Multivariable

dF2/x = -x*e^(-x-1) + y

F'2X F'2Y dx dy error D0.181162275 1.6 0.392939332 0.1543235620.354397898 1.992939332 -0.04162579 -0.01353851 0.434565124 0.465858907 continua0.338787942 1.951313541 -0.00024626 -0.00108323 0.041379534 0.04321342 continua0.337692464 1.951067283 8.90145E-07 -5.3531E-06 0.000247148 0.001105851 continua0.337687156 1.951068173 -4.3001E-09 1.90476E-08 8.94445E-07 5.44606E-06 fin

Page 5: Informe - Newton Raphson Multivariable

4*x^2 - y^2 = 0 dF1/x = 8x dF2/x = 4*y^2 - 14*x*y^2 - x - 1 = 0 dF1/y = 2y dF2/y = 8*x*y

tolerancia 0.0001

IT Xi Yi F1 F2 F'1X F'1Y0 0.4 0.9 -0.17 -0.104 3.2 1.81 0.458333333 0.890740741 0.046858711 -0.00373171 3.666666667 1.7814814812 0.43862608 0.90499922 -0.04945224 -0.00164565 3.509008642 1.8099984413 0.460561146 0.889795837 0.056729645 -0.00198862 3.684489168 1.7795916754 0.437513431 0.905636219 -0.05450495 -0.00215969 3.50010745 1.8112724375 0.461761793 0.888870701 0.062804689 -0.00242622 3.694094341 1.7777414026 0.436363021 0.906320241 -0.05976563 -0.00262009 3.490904168 1.8126404817 0.463072641 0.887852656 0.069462745 -0.0029447 3.70458113 1.7757053138 0.435123055 0.907044335 -0.06540113 -0.00316889 3.480984439 1.814088679 0.46449403 0.886737295 0.076715784 -0.00356178 3.715952237 1.77347459

10 0.433794352 0.907804837 -0.07139946 -0.00381795 3.470354819 1.81560967311 0.466026554 0.885521569 0.084574547 -0.00429055 3.728212434 1.77104313912 0.43238016 0.908596308 -0.07773684 -0.00457915 3.459041281 1.81719261613 0.467667642 0.884204828 0.093033916 -0.00514339 3.741341136 1.76840965614 0.430886861 0.909411393 -0.08437514 -0.005463 3.447094887 1.81882278715 0.4694107 0.882789671 0.102068018 -0.00613061 3.755285602 1.76557934316 0.429324497 0.910240787 -0.09126019 -0.00647736 3.434595979 1.82048157317 0.471244304 0.881282842 0.111625329 -0.00725894 3.769954432 1.76256568318 0.427707144 0.911073379 -0.0983211 -0.00762584 3.421657152 1.82214675919 0.473151573 0.879696019 0.121624557 -0.00852964 3.785212581 1.759392038

Page 6: Informe - Newton Raphson Multivariable
Page 7: Informe - Newton Raphson Multivariable

F'2X F'2Y dx dy error D2.24 2.88 0.058333333 -0.00925926

2.173676269 3.266049383 -0.01970725 0.01425848 0.078040586 0.08150716 continua2.276094355 3.175650085 0.021935066 -0.01520338 0.041642319 0.051010627 continua2.166946528 3.278443124 -0.02304771 0.015840381 0.04498278 0.054654971 continua2.280707842 3.169824076 0.024248361 -0.01676552 0.047296076 0.057446179 continua2.160364492 3.283572226 -0.02539877 0.01744954 0.049647133 0.060295173 continua2.285665514 3.163877106 0.02670962 -0.01846758 0.052108392 0.063287631 continua2.153129358 3.289122198 -0.02794959 0.019191679 0.054659207 0.066376569 continua2.290917703 3.157407216 0.029370975 -0.02030704 0.057320561 0.069611749 continua2.14521212 3.295073434 -0.03069968 0.021067542 0.060070652 0.072940656 continua

2.296438486 3.15040489 0.032232202 -0.02228327 0.062931879 0.076418022 continua2.136593799 3.301412525 -0.03364639 0.023074739 0.065878596 0.079983362 continua2.302189003 3.142872137 0.035287482 -0.02439148 0.068933876 0.083695407 continua2.127272711 3.308111896 -0.03678078 0.025206565 0.072068263 0.087486003 continua2.30811633 3.134827365 0.038523839 -0.02662172 0.075304621 0.091416395 continua

2.117270415 3.315127343 -0.0400862 0.027451115 0.078610042 0.095411794 continua2.314153159 3.126309346 0.041919807 -0.02895795 0.082006009 0.099533752 continua2.106637787 3.322396154 -0.04353716 0.029790538 0.085456967 0.103702832 continua2.320218811 3.117380745 0.045444429 -0.03137736 0.088981589 0.107977937 continua2.095460343 3.329836439 -0.04709857 0.032200627 0.092542994 0.112278075 continua

la irteracion continua

Page 8: Informe - Newton Raphson Multivariable