Metodos TRABAJO

METODO SECANTE METODO DE NEWTON1 Xi X(i-1) X(i+1) Es(%) Xi

0.98 -0.02 1.2039 0.81.20388114 0.98 0.9873 -21.9315 1.46506

0.9873 1.20388114 0.9920 0.4734 1.321770.9920 0.9873 1.0005 0.8428 1.197711.0005 0.9920 1.0000 -0.0488 1.097661.0000 1.0005 1.0000 0.0017 1.03112

1.003901.000071.00000

Xi X(i-1) X(i+1) Es(%) Xi2 3 2 3.0190 3

3.0190 3 3.0047 -0.4762 3.014293.0047 3.0190 3.0119 0.2367 3.014243.0119 3.0047 3.0083 -0.11763.0083 3.0119 3.0101 0.05863.0101 3.0083 3.0092 -0.02913.0092 3.0101 3.0097 0.01453.0097 3.0092 3.0094 -0.00723.0094 3.0097 3.0095 0.00363.0095 3.0094 3.0095 -0.0018

Xi X(i-1) X(i+1) Es(%) Xi3 3.5 3 3.367816 3.5

3.36781609 3.5 3.386720 0.5582 3.392523.38671978 3.36781609 3.387627 0.0268 3.387633.38762652 3.38671978 3.387619 -0.0002 3.387623.38761906 3.38762652 3.387619 0.0000

4 Xi X(i-1) X(i+1) Es(%) Xi1.5 0.5 1.58605 1.5

1.58604937 1.5 1.64583 3.63241.64583186 1.58604937 1.64867 0.17191.64866598 1.64583186 1.64872 0.00341.64872122 1.64866598 1.64872 0.0000

5 Xi X(i-1) X(i+1) Es(%) Xi4.5 4 4.66359 4.5

4.66359 4.5 4.64091 -0.4889 4.646090534.64091 4.66359447 4.64159 0.0146 4.641692514.64159 4.64090592 4.64159 0.0001 4.641588934.64159 4.64158561 4.64159 0.0000

9 Xi X(i-1) X(i+1) Es(%) Xi0.5 0 0.55962

0.55961629 0.5 0.56705 1.31110.5670508 0.55961629 0.56714 0.0163

0.56714316 0.5670508 0.56714 0.0000

10 Xi X(i-1) X(i+1) Es(%) Xi1.75 1 2.10159 1.75

2.10159 1.75 1.87886 11.8548 1.910687921.87886 2.1015902 1.89375 0.7863 1.895625071.89375 1.8788552 1.89551 0.0932 1.895494281.89551 1.89374532 1.89549 0.00091.89549 1.89551132 1.89549 0.0000

14 Xi X(i-1) X(i+1) Es(%) Xi1.5 1 1.72727 1.5

1.72727273 1.5 1.60731 7.4637 1.631578951.60730756 1.72727273 1.61712 0.6067 1.618183591.61711912 1.60730756 1.61804 0.0570 1.618034011.61804219 1.61711912 1.61803 0.0005

1.61803398 1.61804219 1.61803 0.0000

17 Xi X(i-1) X(i+1) Es(%) Xi0.25 -0.75 -0.47231 0.25

-0.47231 0.25 -0.16318 1.8945 0.03902489-0.16318 -0.47231 0.27403 1.5955 0.001395290.27403 -0.16318 -0.03985 7.8760 1.94053E-06

-0.03985 0.27403 -0.00858 3.6445-0.00858 -0.03985 0.00036 24.67710.00036 -0.00858 0.00000 116.42290.00000 0.00036 0.00000 2759.4945

20 Xi X(i-1) X(i+1) Es(%) Xi10.05 9.5 9.99961

9.99961 10.05 10.00000 0.003910.00000 9.999613 10.00000 0.0000

25 Xi X(i-1) X(i+1) Es(%) Xi2.55 2 2.55324

2.55324207 2.55 2.55245 0.03112.55244805 2.55324207 2.55245 0.0000

METODO DE NEWTON METODO DE BISECCIONX(i+1)

1.46506 0 1.3 0.65 -1 -0.98653726 0.986537261.32177 0.65 1.3 0.975 -0.986537257 -0.22367038 0.220659161.19771 0.975 1.3 1.1375 -0.223670379 2.62672022 -0.587519511.09766 0.975 1.1375 1.05625 -0.223670379 0.72849139 -0.162941941.03112 0.975 1.05625 1.015625 -0.223670379 0.16770685 -0.037511051.00390 0.975 1.015625 0.9953125 -0.223670379 -0.04589849 0.010266131.00007 0.9953125 1.015625 1.00546875 -0.045898489 0.05605314 -0.002572751.00000 0.9953125 1.00546875 1.0004 -0.045898489 0.00391312 -0.000179611.00000

X(i+1)3.01429 2.9 3.1 3 0.39125 0.05 0.01956253.01424 3 3.1 3.05 0.05 -0.1271875 -0.006359373.01424 3 3.05 3.025 0.05 -0.03804687 -0.00190234

3 3.025 3.0125 0.05 0.00611328 0.000305663.0125 3.025 3.01875 0.006113281 -0.01593262 -9.7401E-053.0125 3.01875 3.015625 0.006113281 -0.00490112 -2.9962E-053.0125 3.015625 3.01406 0.006113281 0.00060822 3.71819E-06

X(i+1)3.392523 3 3.5 3.25 -8 -3.171875 25.3753.387629 3.25 3.5 3.375 -3.171875 -0.30664063 0.972625733.387619 3.375 3.5 3.4375 -0.306640625 1.24389648 -0.38142923.387619 3.375 3.4375 3.40625 -0.306640625 0.45864868 -0.14064032

3.375 3.40625 3.390625 -0.306640625 0.07352066 -0.022544423.375 3.390625 3.3828125 -0.306640625 -0.11717939 0.03593196

3.3828125 3.390625 3.38671875 -0.117179394 -0.0219844 0.002576123.38671875 3.390625 3.38867188 -0.021984398 0.02572935 -0.000565643.38671875 3.38867188 3.38769531 -0.021984398 0.00186278 -4.0952E-05

X(i+1)1 2 1.5 -0.5 -0.09453489 0.04726745

1.5 2 1.75 -0.094534892 0.05961579 -0.005635771.5 1.75 1.625 -0.094534892 -0.01449218 0.00137002

1.625 1.75 1.6875 -0.014492184 0.02324814 -0.000336921.625 1.6875 1.65625 -0.014492184 0.00455601 -6.6027E-051.625 1.65625 1.640625 -0.014492184 -0.00492273 7.13412E-05

1.640625 1.65625 1.6484375 -0.004922733 -0.00017213 8.47352E-07

xl xu xr f(xl) f(xr) f(xl)*f(xr)




X(i+1)4.64609 4 5 4.5 -36 -8.875 319.54.64169 4.5 5 4.75 -8.875 7.171875 -63.65039064.64159 4.5 4.75 4.625 -8.875 -1.06835938 9.481689454.64159 4.625 4.75 4.6875 -1.068359375 2.99682617 -3.20168734

4.625 4.6875 4.65625 -1.068359375 0.95059204 -1.015573924.625 4.65625 4.640625 -1.068359375 -0.06228256 0.06654016

4.640625 4.65625 4.6484375 -0.062282562 0.44330359 -0.027610084.640625 4.6484375 4.64453125 -0.062282562 0.1902979 -0.011852244.640625 4.64453125 4.64257813 -0.062282562 0.06395454 -0.003983254.640625 4.64257813 4.64160156 -0.062282562 0.00082271 -5.124E-05

X(i+1)0 1 0.5 1 0.10653066 0.10653066

0.5 1 0.75 0.10653066 -0.27763345 -0.029576470.5 0.75 0.625 0.10653066 -0.08973857 -0.009559910.5 0.625 0.5625 0.10653066 0.00728282 0.00077584

0.5625 0.625 0.59375 0.007282825 -0.04149755 -0.000302220.5625 0.59375 0.578125 0.007282825 -0.01717584 -0.000125090.5625 0.578125 0.5703125 0.007282825 -0.00496376 -3.615E-050.5625 0.5703125 0.56640625 0.007282825 0.0011552 8.41313E-06

0.56640625 0.5703125 0.56835938 0.001155202 -0.00190536 -2.2011E-060.56640625 0.56835938 0.56738281 0.001155202 -0.00037535 -4.336E-070.56640625 0.56738281 0.56689453 0.001155202 0.00038986 4.50366E-07

0.566894531 0.56738281 0.56713867 0.000389859 7.23791E-06 2.82176E-09

X(i+1)1.91069 1.5 2 1.75 -0.247494987 -0.10898595 0.026973481.89563 1.75 2 1.875 -0.108985947 -0.01658578 0.001807621.89549 1.875 2 1.9375 -0.016585782 0.03523572 -0.000584411.89549 1.875 1.9375 1.90625 -0.016585782 0.00886394 -0.00014702

1.875 1.90625 1.890625 -0.016585782 -0.0039768 6.59583E-051.890625 1.90625 1.8984375 -0.003976798 0.00241468 -9.6027E-061.890625 1.8984375 1.89453125 -0.003976798 -0.00078829 3.13488E-06

1.89453125 1.8984375 1.89648438 -0.000788293 0.00081139 -6.3961E-071.89453125 1.89648438 1.89550781 -0.000788293 1.10941E-05 -8.7454E-09

X(i+1)1.63158 1 2 1.5 -2 -0.625 1.251.61818 1.5 2 1.75 -0.625 0.859375 -0.537109381.61803 1.5 1.75 1.625 -0.625 0.04101563 -0.025634771.61803 1.5 1.625 1.5625 -0.625 -0.31030273 0.19393921

1.5625 1.625 1.59375 -0.310302734 -0.13931274 0.04322913





1.59375 1.625 1.609375 -0.139312744 -0.0503273 0.007011231.609375 1.625 1.6171875 -0.050327301 -0.00495195 0.00024922

1.6171875 1.625 1.62109375 -0.004951954 0.01795763 -8.8925E-051.6171875 1.62109375 1.61914063 -0.004951954 0.00648431 -3.211E-051.6171875 1.61914063 1.61816406 -0.004951954 0.00076155 -3.7711E-06

X(i+1)0.03902 -0.5 1 0.25 -0.229425539 0.30990396 -0.071099880.00140 -0.5 0.25 -0.125 -0.229425539 -0.10904973 0.025018790.00000 -0.125 0.25 0.0625 -0.109049733 0.06636557 -0.007237150.00000 -0.125 0.0625 -0.03125 -0.109049733 -0.03026835 0.00330076

-0.03125 0.0625 0.015625 -0.030268351 0.0158685 -0.00048031-0.03125 0.015625 -0.0078125 -0.030268351 -0.00775139 0.00023462

-0.0078125 0.015625 0.00390625 -0.007751385 0.0039215 -3.0397E-05-0.0078125 0.00390625 -0.00195313 -0.007751385 -0.00194931 1.51098E-05

-0.001953125 0.00390625 0.00097656 -0.001949309 0.00097752 -1.9055E-06

X(i+1)9.8 10.3 10.05 -0.285984458 0.07176892 -0.02052489.8 10.05 9.925 -0.285984458 -0.10744963 0.03072893

9.925 10.05 9.9875 -0.107449634 -0.01792529 0.001926079.9875 10.05 10.01875 -0.017925287 0.02690065 -0.00048229.9875 10.01875 10.003125 -0.017925287 0.00448238 -8.0348E-059.9875 10.003125 9.9953125 -0.017925287 -0.00672278 0.00012051

9.9953125 10.003125 9.99921875 -0.006722778 -0.00112053 7.53307E-069.99921875 10.003125 10.0011719 -0.001120529 0.00168084 -1.8834E-069.99921875 10.0011719 10.0001953 -0.001120529 0.00028014 -3.139E-07

X(i+1)2.5 2.6 2.55 -0.273182926 -0.01305293 0.00356584

2.55 2.6 2.575 -0.013052932 0.12157357 -0.001586892.55 2.575 2.5625 -0.013052932 0.05387891 -0.000703282.55 2.5625 2.55625 -0.013052932 0.02031774 -0.000265212.55 2.55625 2.553125 -0.013052932 0.0036086 -4.7103E-052.55 2.553125 2.5515625 -0.013052932 -0.00472812 6.17158E-05

2.5515625 2.553125 2.55234375 -0.004728115 -0.00056125 2.65363E-062.55234375 2.553125 2.55273437 -0.000561245 0.00152331 -8.5495E-072.55234375 2.55273437 2.55253906 -0.000561245 0.00048094 -2.6992E-072.55234375 2.55253906 2.55244141 -0.000561245 -4.0177E-05 2.25492E-08




METODO DE BISECCION METODO PUNTO FIJOXi f(a) f(b) f© ƛ X(i+1)

0.65 -1 12.7858492 10.6044994 0.0942996 0.743033.33 0.7430 0.832514.29 0.8325 0.91177.69 0.9117 0.96864.00 0.9686 0.99442.04 0.9944 0.99951.01 0.9995 1.00000.51

Xi f(a) f(b) f© ƛ X(i+1)

3 0.39125 -0.30875 -3.5 -0.28571429 3.014293.01428571 3.01423

1.64 3.01423469 3.014240.83 3.01423506 3.014240.410.210.100.05


3.25 -8 2.875 21.75 0.04597701 3.3958333.70 3.395833 3.3865761.82 3.386576 3.3877470.92 3.387747 3.3876030.46 3.387603 3.3876210.23 3.387621 3.3876190.12 3.387619 3.3876190.060.03


1.5 -0.5 0.19314718 0.69314718 1.44269504 1.63638514.29 1.63638502 1.6472207.69 1.6472203 1.6485343.70 1.64853431 1.6486981.89 1.64869792 1.6487180.95 1.64871835 1.6487210.47 1.64872091 1.648721

abs(ea)

abs(ea)

abs(ea)

abs(ea)


4.5 -36 25 61 0.01639344 4.6454925.26 4.6454918 4.6413532.70 4.6413529 4.6416031.33 4.64160287 4.6415880.67 4.641588 4.6415890.34 4.64158888 4.6415890.170.080.040.02


0.5 1 -0.63212056 -1.63212056 -0.61269984 0.56527133.33 0.56527132 0.56706920.00 0.56706937 0.56714011.11 0.56714035 0.5671435.26 0.56714317 0.5671432.701.370.690.340.170.090.04


1.75 -0.24749499 0.09070257 0.67639512 1.47842581 1.9111286.67 1.91112764 1.8920273.23 1.89202683 1.8962171.64 1.896217 1.8953420.83 1.8953415 1.8955260.41 1.89552646 1.8954870.21 1.89548748 1.8954960.10 1.8954957 1.8954940.05 1.89549397 1.895494

14.29 Xi f(a) f(b) f© ƛ X(i+1)

7.69 1.5 -2 3 5 0.2 1.6250004.00 1.625 1.6167971.96 1.61679688 1.618244

abs(ea)

abs(ea)

abs(ea)

abs(ea)

0.97 1.61824383 1.6179980.48 1.6179981 1.6180400.24 1.61804012 1.6180330.12 1.61803294 1.6180340.06 1.61803417 1.618034

3.00 Xi f(a) f(b) f© ƛ X(i+1)

3.00 0.25 -0.22942554 1.84147098 1.38059768 0.72432397 0.025533.00 0.02552913 0.006573.00 0.00656771 0.001783.00 0.00177935 0.000493.00 0.00048823 0.000133.00 0.00013442 0.000043.00 3.70436E-05 0.00001

1.0211E-05 0.000002.81486E-06 0.00000

1.26 Xi f(a) f(b) f© ƛ X(i+1)

0.63 10.05 -0.28598446 0.43222341 1.43641575 0.69617728 10.00003610.31 10.0000361 10.00000010.16 10.0000001 100.08 10 100.040.020.01

0.97 Xi f(a) f(b) f© ƛ X(i+1)

0.49 2.55 -0.27318293 0.25925737 5.32440294 0.18781449 2.5524520.24 2.55245153 2.5524490.12 2.55244893 2.5524490.060.030.020.010.00

abs(ea)

abs(ea)

abs(ea)

METODO PUNTO FIJOa b0 1.3

a b2.9 3.1

a b3 3.5

a b1 2

a b4 5

a b0 1

a b1.5 2

a b1 2

a b-0.5 1

a b9.8 10.3

a b2.5 2.6

Metodos TRABAJO

Documents

Transcript of Metodos TRABAJO