metodos numericos bissel

10
f(x)=x^3-2.2x^2-5.4x+4 Newton-Raphson X Error Interaciones 1.5 1 -2.18823529411765 1.68548387096774 2 -1.34951205450286 0.621501109839108 3 -0.466314944255629 1.8939927212864 4 -2.10251485529207 0.778210868245755 5 -1.28280669088148 0.638995859810585 6 -0.33487442556609 2.83070964201867 7 -1.68139485151457 0.80083534497299 8 -0.908039828273373 0.851675223003953 9 2.40122186101657 1.37815740520076 10 9.01402738146229 0.733612761599241 11 6.55237232070471 0.375689130634265 12 5.06166374532425 0.294509602056737 13 4.28699825096392 0.180701145419444 14

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Page 1: Metodos Numericos Bissel

f(x)=x^3-2.2x^2-5.4x+4 xNewton-Raphson -7

X Error Interaciones -61.5 1 -5

-2.18823529411765 1.68548387096774 2 -4-1.34951205450286 0.621501109839108 3 -3

-0.466314944255629 1.8939927212864 4 -2-2.10251485529207 0.778210868245755 5 -1-1.28280669088148 0.638995859810585 6 0-0.33487442556609 2.83070964201867 7 1-1.68139485151457 0.80083534497299 8 2

-0.908039828273373 0.851675223003953 9 32.40122186101657 1.37815740520076 10 49.01402738146229 0.733612761599241 11 56.55237232070471 0.375689130634265 12 65.06166374532425 0.294509602056737 13 74.28699825096392 0.180701145419444 14

Page 2: Metodos Numericos Bissel

-6 470-5 128-4 8-3 8-2 50-1 800 681 82 -823 -1604 -1605 86 4587 1328

Page 3: Metodos Numericos Bissel

f(x)-409

-258.8-149

-73.6-26.6

-26.2

4-2.6-7.6

-511.2

47108.4201.4

-8 -6 -4 -2 0 2 4 6 8

-500

-400

-300

-200

-100

0

100

200

300

Column G

Page 4: Metodos Numericos Bissel

-8 -6 -4 -2 0 2 4 6 8

-500

-400

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-200

-100

0

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Page 5: Metodos Numericos Bissel

APROXIMACIONES SUCESIVASf(x)=x^3-2.2x^2/5.4

X f(x) interaciones x f(x)3 1 -7 -83.4814815

2.35714286 0.27272727 2 -6 -54.66666671.59686589 0.47610571 3 -5 -33.33333330.99440316 0.60585359 4 -4 -18.3703704

1.0011256 0.00671488 5 -3 -8.666666670.9997751 0.0013508 6 -2 -3.11111111

1.000045 0.0002698 7 -1 -0.592592590 01 -0.222222222 -0.148148153 1.333333334 5.33333333

-8 -6 -4 -2 0 2 4 6

-100

-80

-60

-40

-20

0

20

Column G

Page 6: Metodos Numericos Bissel

-8 -6 -4 -2 0 2 4 6

-100

-80

-60

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-20

0

20

Column G

Page 7: Metodos Numericos Bissel

Doble divison sintetica f(x)= x^3+1.8x^2-4.7x-5.2

a0 a1 a2 a3 c0 c1 c2 x01 1.8 -4.7 5.2 -2.51 -0.7 -2.95 12.575 1 -3.2 5.05 -4.990099011 -3.19009901 11.2189099 -50.7834712 1 -8.18019802 52.038908 -4.014223971 -2.21422397 4.18839095 -11.6131394 1 -6.22844795 29.190776 -3.616388051 -1.81638805 1.86876403 -1.55817589 1 -5.4327761 21.5157906 -3.543967941 -1.74396794 1.48056646 -0.04708008 1 -5.28793588 20.2208417 -3.5416396

Page 8: Metodos Numericos Bissel

x F(x)-9 -546.1

Error -8 -364.4-7 -227.1

0.49900794 -6 -128.20.24310428 -5 -61.70.11000919 -4 -21.60.02043475 -3 -1.90.0006574 -2 3.4

-1 0.30 -5.21 -7.12 0.63 23.94 68.8

Page 9: Metodos Numericos Bissel

Metodo de bairstowF(x)= x^4+x^3-25x^2-37x+68

r s a1 a2 a3 a4 a5 b15.5 -5.5 1 1 -25 -37 68 1

5.85215763 -3.77328037 1 1 -25 -37 68 16.10131901 -5.64954491 1 1 -25 -37 68 16.07033907 -5.46164423 1 1 -25 -37 68 16.06997252 -5.45974567 1 1 -25 -37 68 16.06997249 -5.45974552 1 1 -25 -37 68 16.06997249 -5.45974552 1 1 -25 -37 68 1

c1 c2 c3 c4 Numerador r Numerador s Denominador Δr1 12 65.75 251.75 458.53125 2248.29688 1302.0625 0.352157631 12.7043153 81.9010015 434.790718 295.020938 -2221.60169 1184.05568 0.249161371 13.202638 87.581829 460.008276 -49.4828226 300.125108 1597.25402 -0.030979931 13.1406781 86.7644391 454.926711 -0.56815923 2.94281013 1550.0224 -0.000366551 13.139945 86.754153 454.854568 -5.774E-05 0.00024097 1549.51904 -3.7263E-081 13.139945 86.7541519 454.854559 -1.721E-12 -3.6837E-13 1549.51899 -1.1106E-151 13.139945 86.7541519 454.854559 0 0 1549.51899 0

(x^2-6.06997x+5.4597)(x2+7.06997x+12.454793)

a b c a b c1 -6.06997249 5.45974552 1 7.06997249 12.454793

x1 x2 x3 x44.97183832 0.89946792 -3.33167667 -1.7616466

Page 10: Metodos Numericos Bissel

b2 b3 b4 b56.5 5.25 -43.875 -202.1875

6.85215763 11.3266262 3.43009032 45.33489287.10131901 12.6778677 0.23249461 -2.205659177.07033907 12.4577113 0.00685506 0.002025487.06997252 12.4547933 1.18928E-06 3.45777E-067.06997249 12.454793 9.9476E-14 5.25802E-137.06997249 12.454793 0 0

Δs1.72671963

-1.876264530.187900670.00189856

1.55515E-07-2.3773E-16

0