F(X) = 2X2

- X – 5

F’(X) = 4X - 1

Iteracion Xi f(Xi) f'(Xi) f(Xi)/f'(Xi)

0 0 -5 -1 5

1 -5 50 -21 -2,38095238

2 -2,61904762 11,3378685 -11,4761905 -0,98794705

3 -1,63110057 1,95207873 -7,52440229 -0,25943306

4 -1,37166751 0,13461103 -6,48667004 -0,02075195

5 -1,35091556 0,00086129 -6,40366226 -0,0001345

6 -1,35078107 3,618E-08 -6,40312426 -5,6504E-09

7 -1,35078106 0 -6,40312424 0

Primera Raiz -1,35091556

Iteracion Xi f(Xi) f'(Xi) f(Xi)/f'(Xi)

0 5 40 19 2,10526316

1 2,89473684 8,86426593 10,5789474 0,83791568

2 2,05682116 1,40420539 7,22728463 0,19429225

3 1,86252891 0,07549896 6,45011563 0,01170505

4 1,85082385 0,00027402 6,40329541 4,2793E-05

5 1,85078106 3,6625E-09 6,40312424 5,7199E-10

6 1,85078106 0 6,40312424 0

7 1,85078106 0 6,40312424 0

Segunda raiz 1,85082385

SOLUCION DE ECUACIONES NO LINEALES

METODO DE NEWTON RAPHSON

𝑋𝑖+1 = 𝑋𝑖 −𝐹(𝑋𝑖)

𝐹′(𝑋𝑖)

𝑻𝒐𝒍𝒆𝒓𝒂𝒏𝒄𝒊𝒂 = 𝟎.𝟓

𝑿𝒊 = 𝟎

𝑻𝒐𝒍𝒆𝒓𝒂𝒏𝒄𝒊𝒂 = 𝟎.𝟓

Xi - f(Xi)/f'(Xi) abs(f(Xi)) abs(f(Xi))<=Tol

-5 5 Continuar

-2,619047619 50 Continuar

-1,631100573 11,33786848 Continuar

-1,37166751 1,952078732 Continuar

-1,350915564 0,134611028 Fin

-1,350781065 0,000861287 Fin

-1,350781059 3,618E-08 Fin

-1,350781059 0 Fin

Xi - f(Xi)/f'(Xi) abs(f(Xi)) abs(f(Xi))<=Tol

2,894736842 40 Continuar

2,056821157 8,864265928 Continuar

1,862528908 1,404205389 Continuar

1,850823853 0,075498957 Fin

1,85078106 0,000274017 Fin

1,850781059 3,66249E-09 Fin

1,850781059 0 Fin

1,850781059 0 Fin

SOLUCION DE ECUACIONES NO LINEALES

Evaluacion del

procesoValor absoluto

Valor absoluto

Evaluacion del

proceso