open methods
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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.
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