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Falsa posición para interpolacion, Ejercicios de Métodos Numéricos

Ejerciciosde falsa posición de polinomios

Tipo: Ejercicios

2021/2022

Subido el 18/05/2023

2020-mat-pulido-zarinan-brian-job
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i a b f(a) f(b)
1 0 1 -1 0.281718171541 4.54964677830384
2 0.780202717 1 -0.35576569 0.281718171541
3 0.902866736 1 -0.02115923 0.281718171541 0.909652535105868
4 0.909652535 1 -0.00105626 0.281718171541 0.909990015496067
5 0.909990015 1 -5.2245E-05 0.281718171541 0.910006704484785
6 0.910006704 1 -2.5844E-06 0.281718171541 0.910007529553093
i a b f(a) f(b)
1 -1 2 -1.56892405 0.482577728015 1.2943056642625
2 -1 1.29430566 -1.56892405 0.616975714414 0.646732111180333
3 0.646732111 1.29430566 -0.17317102 0.616975711557 0.788656348657269
4 0.64673211 0.78865635 -0.17317102 0.032785274412 0.766064055431505
5 0.64673211 0.76606406 -0.17317102 0.000314057282 0.765848030276987
6 0.64673211 0.76584803 -0.17317102 2.64558183E-06 0.765846210260789
i a b f(a) f(b)
1 0 1.5 -1 10.05426279833 0.135694259071378
2 0.135694259 1.5 -0.93307033 10.05426279833 0.251554330710706
3 0.251554331 1.5 -0.76276971 10.05426279833 0.339589245965971
4 0.339589246 1.5 -0.55776728 10.05426279833 0.400580323243991
5 0.400580323 1.5 -0.37516211 10.05426279833 0.440128102937206
6 0.440128103 1.5 -0.23830043 10.05426279833 0.464666978274696
7 0.464666978 1.5 -0.14589589 10.05426279833 0.479475653051244
8 0.479475653 1.5 -0.08731626 10.05426279833 0.488262092418554
9 0.488262092 1.5 -0.0515482 10.05426279833 0.493422812630377
10 0.493422813 1.5 -0.0301869 10.05426279833 0.496435911692783
11 0.496435912 1.5 -0.01759391 10.05426279833 0.498188976903657
12 0.498188977 1.5 -0.01022596 10.05426279833 0.499206860342694
13 0.49818898 1.5 -0.01022594 10.05426279833 0.499206862083282
14 0.499206862 1.5 -0.00593397 10.05426279833 0.499797176505957
15 0.499797177 1.5 -0.00344018 10.05426279833 0.500139291025511
16 0.500139291 1.5 -0.00199335 10.05426279833 0.500337482799151
17 0.500337483 1.5 -0.00115464 10.05426279833 0.500452271915437
18 0.500452272 1.5 -0.0006687 10.05426279833 0.500518746683978
19 0.500518747 1.5 -0.00038723 10.05426279833 0.500557239643202
i a b f(a) f(b)
1 0.5 2 -1.31814718 2.69314718056 0.992913407204529
2 0.992913407 2 -1.00701174 2.69314718056 1.26699569454076
Xn= a*f(b) -
b*f(a)/f(b)-f(a)
Xn=a*f(b)-b*f(a)/f(b)-
f(a)
Xn=a*f(b)-b*f(a)/f(b)-
f(a)
Xn=a*f(b)-b*f(a)/f(b)-
f(a)
pf3
pf4

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i a b f(a) f(b) 1 0 1 -1 0.281718171541 4. 2 0.780202717 1 -0.35576569 0. 3 0.902866736 1 -0.02115923 0.281718171541 0. 4 0.909652535 1 -0.00105626 0.281718171541 0. 5 0.909990015 1 -5.2245E-05 0.281718171541 0. 6 0.910006704 1 -2.5844E-06 0.281718171541 0. i a b f(a) f(b) 1 -1 2 -1.56892405 0.482577728015 1. 2 -1 1.29430566 -1.56892405 0.616975714414 0. 3 0.646732111 1.29430566 -0.17317102 0.616975711557 0. 4 0.64673211 0.78865635 -0.17317102 0.032785274412 0. 5 0.64673211 0.76606406 -0.17317102 0.000314057282 0. 6 0.64673211 0.76584803 -0.17317102 2.64558183E-06 0. i a b f(a) f(b) 1 0 1.5 -1 10.05426279833 0. 2 0.135694259 1.5 -0.93307033 10.05426279833 0. 3 0.251554331 1.5 -0.76276971 10.05426279833 0. 4 0.339589246 1.5 -0.55776728 10.05426279833 0. 5 0.400580323 1.5 -0.37516211 10.05426279833 0. 6 0.440128103 1.5 -0.23830043 10.05426279833 0. 7 0.464666978 1.5 -0.14589589 10.05426279833 0. 8 0.479475653 1.5 -0.08731626 10.05426279833 0. 9 0.488262092 1.5 -0.0515482 10.05426279833 0. 10 0.493422813 1.5 -0.0301869 10.05426279833 0. 11 0.496435912 1.5 -0.01759391 10.05426279833 0. 12 0.498188977 1.5 -0.01022596 10.05426279833 0. 13 0.49818898 1.5 -0.01022594 10.05426279833 0. 14 0.499206862 1.5 -0.00593397 10.05426279833 0. 15 0.499797177 1.5 -0.00344018 10.05426279833 0. 16 0.500139291 1.5 -0.00199335 10.05426279833 0. 17 0.500337483 1.5 -0.00115464 10.05426279833 0. 18 0.500452272 1.5 -0.0006687 10.05426279833 0. 19 0.500518747 1.5 -0.00038723 10.05426279833 0. i a b f(a) f(b) 1 0.5 2 -1.31814718 2.69314718056 0. 2 0.992913407 2 -1.00701174 2.69314718056 1. Xn= af(b) - bf(a)/f(b)-f(a) Xn=af(b)-bf(a)/f(b)- f(a) Xn=af(b)-bf(a)/f(b)- f(a) Xn=af(b)-bf(a)/f(b)- f(a)

  • 3 1.266995695 2 -0.60174485 2.69314718056 1.
  • 4 1.400863986 2 -0.27711134 2.69314718056 1.
  • 5 1.456760597 2 -0.11123024 2.69314718056 1.
  • 6 1.478307143 2 -0.04212092 2.69314718056 1.
  • 7 1.486340792 2 -0.01559511 2.69314718056 1.
  • 8 1.489298094 2 -0.00572568 2.69314718056 1.
  • 9 1.490381552 2 -0.00209566 2.69314718056 1.
  • 10 1.490777801 2 -0.00076616 2.69314718056 1.
    • -5.2244E-05 5.518337E-08 0. -0.00105626 2.2349747E-05 1 Positivo a=Xn y b=b
    • -2.5829E-06 1.3494564E-10 1.833941292E-
    • -1.2776E-07 3.3018788E-13 9.066609683E-
    • 0.61697571 -0. f(Xn) f(Xn)*f(a) Error
  • -0.17317102 0.27169217909 -1.
    • 0.03278527 -0.0056774594 0.
    • 0.00031406 -5.4385728E-05 -0.
  • 2.64598E-06 -4.5820726E-07 -0.
  • 2.22606E-08 -3.8548988E-09 -2.376477384E-
  • -0.93307033 0. f(Xn) f(Xn)*f(a) Error Negativo a=a y b =Xn
  • -0.55776728 0.42544798206 0. -0.76276971 0.71171778013 0.4605767323186 Positivo a=Xn y b=b - -0.3751621 0.20925314549 0.
  • -0.23830043 0.08940128991 0.
  • -0.14589589 0.03476705323 0.
  • -0.08731626 0.01273908379 0. - -0.0515482 0.00450099586 0. - -0.0301869 0.00155608028 0.
  • -0.01759391 0.00053110566 0.
  • -0.01022596 0.00017991458 0.
  • -0.00593398 6.0680625E-05 0.
  • -0.00593397 6.0680475E-05 3.486707004E-
  • -0.00344019 2.0413971E-05 0.
  • -0.00199335 6.8574727E-06 0.
  • -0.00115464 2.301598E-06 0. - -0.0006687 7.7210923E-07 0.
  • -0.00038723 2.5894254E-07 0.
  • -0.00022422 8.6826693E-08 7.690021475E-
  • -1.00701174 1. f(Xn) f(Xn)*f(a) Error
  • -0.27711134 0.16675032184 0.
  • -0.04212092 0.00468512026 0. -0.11123024 0.03082316077 0.0383704846995 Positivo a=Xn y b=b
    • -0.0155951 0.00065688023 0.
  • -0.00572568 8.9292543E-05 0.
  • -0.00209566 1.1999071E-05 0.
  • -0.00076616 1.6056174E-06 0.
  • -0.00027999 2.1451737E-07 9.713830931E-