GRAPHIC METHOD

solution

Graphic to find the rood

h(x)= 1-x

g(x)= arctan x

Where we can see crearly that

an interval where the root is

onli interval (0,1)

Some considerations

CLOSE METHODS

Raíz

)(xf

x

-

y=f(x)

CLOSE METHODS

CLOSE METHODS

Fixed point

iter x g(x) error

0 2 1.4421881

1 1.4421881 1.31243653 38.6781652

2 1.31243653 1.30971461 9.88631221

3 1.30971461 1.30980242 0.20782574

4 1.30980242 1.30979949 0.00670461

Tolerance = 0.01

Newton-Raphson

XrXi

Xi+1

tangente

f(x)

Newton-Raphson

iter xi fxi f'xi error

0 1 0.367879441 -1.36787944

1 1.26894142 0.042946035 -1.0691875 21.1941558

2 1.3091084 0.000714437 -1.03393942 3.06827011

3 1.30979939 2.0371E-07 -1.03334989 0.05275506

4 1.30979959 1.65423E-14 -1.03334972 1.5051E-05

• http://noosfera.indivia.net/metodos.html

• METODOS NUMERICOS PhD

EDUARDO CARRILLO – UNIVERSIDAD

INDUSTRIAL DE SANTANDER 2010

• CHAPRA, Steven C. “Métodos Numéricos

para Ingenieros”. Edit. McGraw Hil.