Newton's method in gnuplot...

[Philipp K. J. <ja...@ie...>]

f(x) = cos(x)
steps=0; x=0.5; eps=1e-6

while( abs(f(x)) > 1e-10 ) {
x = x - eps*f(x)/( f(x+eps) - f(x) )
steps = steps + 1
}

print steps, x